Past Events

2021

 

 


RIMS x OIST Jointly-funded Workshop:
"Interactions of New Trends in Algebraic Geometry and Singularities"

 

  • Date: October 11- 15, 2021
  • Remote: Zoom
  • Organizers:
    •   Shihoko Ishii (Univ. of Tokyo)
    •   Hiraku Kawanoue (Chubu Univ.)
    •   Tohru Ohmoto (Hokkaido Univ.)
    •   Shinobu Hikami (OIST)
  • Description :
    Algebraic Geometry has 400 years history after René Descartes introduced coordinates to geometry. Recently this area is remarkably developing under cooperation with Number Theory, Commutative Algebra, Combinatorics, Representation Theory and so on.
    In Algebraic Geometry, Japan is in one of the central position. Three Fields Medalists from Japan; Kunihiko Kodaira, Heisuke Hironaka and Shigefumi Mori contributed the big development of Algebraic Geometry. Nowadays a new generation; like Takehiko Yasuda, Yoshinori Gongyo and Masahiko Yoshinaga made remarkable progress in Algebraic Geometry. Because of this broad and quick progress, it became difficult for an algebraic geometer to cover all ideas. On the other hand, it is very important and useful for an algebraic geometer to know many ideas in topics different from ones own.
    The aim of the workshop is to bring together experts of various fields of algebraic geometry who would like to learn different fields from their own and let them have a chance to learn other fields. We try to make the atmosphere very friendly and easy to ask any questions. To this end, it is very nice for all participants stay in a one accommodation and spend time together whole a week.
    The topics we take in the workshop are (1) Minimal Model Problem, (2) Hyperplane arrangement and (3) Stacks.
    Three main speakers - Yoshinori Gongyo (University of Tokyo), Masahiko Yoshinaga (Hokkaido University) and Takehiko Yasuda (Tohoku University) - will give five courses each. These are all quite new fields and developed very quickly. In the workshop the participants will learn these topics and try to find ways to make use of them for their own researches.
     
  • Titles & Abstracts
     
  • Schedule (each lecture50 min. discussion 5 min.)
     
  • Lecturers:

MMP

  • Yoshinori Gongyo (Expository, Univ. Tokyo)
  • Anne-Sophie Kaloghiros (Brunel Univ.)
  • Chen Jiang (Fudan Univ.)

Stack

  • Takehiko Yasuda (Expository, Osaka Univ.)
  • Yusuke Nakamura (Univ. of. Tokyo)
  • Victoria Hoskins (Freie Univ. Berlin)

Arrangement

  • Masahiko Yoshinaga (Expository, Hokkaido Univ.))
  • Takuro Abe (Kyushu Univ.)
  • Elisa Palezzato (Hokkaido Univ.)
    ​
  • List of participants
  •  Kohsuke Shibata (Nihon Univ.)
  •   Shoji Yokura (Kagoshima Univ.)
  •   Kei-ichi Watanabe (Nihon Univ.)
  •   Takahiro Yamamoto (Tokyo Gakugei Univ.)
  •   Mahito Tanno (Osaka Univ.)
  •   Herwig Hauser (Univ. Wien)
    ​
  • Contact: miwako.tokuda@oist.jp, workshop@oist.jp
    *This workshop is supported by RIMS, OIST, and JSPS KAKENHI

      ● Code of Conduct for OIST Workshops and Mini-symposia
　　　　https://groups.oist.jp/cws/code-conduct

2020 OIST Workshop “Quantum Math, Singularities and Applications”

  • Dates: 2/8-2/12, 2021
  • Remote: Zoom
  • Application was closed
  • Organizers:
    • Shihoko Ishii (Tsinghua University/Univ. Tokyo)
    • Yasuyuki Kawahigashi (The University of Tokyo)
    • Shinobu Hikami ( OIST)
  • Contact: workshop@oist.jp
     
  • Tentative list of invited talkers
    1. Shihoko Ishii (Tsinghua Univ. /Univ. Tokyo, Organizer)
    2. Lawrence Ein (University of Illinois at Chicago)
    3. Kei-ichi Watanabe (Nihon University)
    4. Yasuyuki Kawahigashi (The University of Tokyo, Organizer)
    5. Vladimir Dotsenko (Univ. Strasbourg)
    6. Benoit Collins (Kyoto University)
    7. Shunsuke Takagi (The University of Tokyo)
    8. Kohsuke Shibata (Nihon University)
    9. Takehiko Yasuda (Osaka University)
    10. Zhenghan Wang (Microsoft Station Q)
    11. Kyoji Saito (Kyoto Univ. RIMS)
    12. Shinobu Hikami (OIST, Organizer)
    13. Masahiko Yoshinaga (Hokkaido University)
    14. Terry Gannon(University of Alberta)
    15. Motoko Kato (Ehime University)
    16. Makiko Mase (Mannheim University)
    17. Mayuko Yamashita (Kyoto Univ. RIMS)
       
  • Conference description:
    This conference of quantum mathematics and singularity includes subjects in new developments of the singularity theories and the conformal field theory. The followings are key words: two and three dimensional normal singularities, arc space and jet scheme, moduli space and operad, noncommutative geometry, conformal bootstrap and super conformal field theory. The topological materials of condensed matter physics need rigorous mathematical classifications, which will be one of applications.

2020

Silver workshop 2020 : Flat Structure and Singularities

  • Date：6th March 2020
  • Venue： OIST Lab3-B700 and B711
  • Invited speakers：
    • Kyoji Saito（IPMU）
    • Kostantin Aleshkin (Columbia Univ.)
    • Mitsuo Kato  (Ryukyu Univ.)
    • Yoshihisa Saito (Rikkyo Univ.)
    • Shinichi Tajima （Niigata Univ.）
    • Motoko Kato (Ehime Univ.)
    • Shinobu Hikami (OIST)
  • Funding: OIST Mathematical and Theoretical Physics Unit.
  • Program  (PDF)
  • Photo: JPEG

Seminar:

  • Date: Thursday, February 6th
  • Time: 14:00-15:00
  • Venue: C016-Lab1, OIST campus
  • Speaker: Fujihiko Sugino, Institute for Basic Science, South Korea

Title: Study of highly entangled quantum spin chains

Abstract:
Quantum entanglement is one of the most surprising features of quantum mechanics.
Ground states of quantum many-body systems with local interactions typically obey
an ``area law'' meaning the entanglement entropy proportional to the boundary length.
It is exceptional when the system is gapless, and the area law had been believed
to be violated by at most a logarithm for over two decades.

Recent discovery of Motzkin and Fredkin spin chain models is striking, since these
models provide significant violation of the entanglement beyond the belief,
growing as a square root of the volume in spite of local interactions.
Although importance of intensive study of the models is undoubted to reveal novel
features of quantum entanglement, it is still far from their complete understanding.  

In this talk, I will explain how such violation of the area law arises mainly in the Motzkin model.
In computation of the Renyi entropy, we observe a novel phase transition never seen in any other
spin chain model studied so far.

 

2019

Workshop “Super-Riemann surfaces and related topics”

　　　　---  This is a joint project between OIST and University of Tokyo.

  • Date: 2019.12.2-4
  • Venue: University of Tokyo,Graduate school of mathematical sciences
    (December 2,3: Room 123, December 4: Room 128).
  • Organizers: Nariya Kawazumi (Univ. of Tokyo), Takuya Sakasai(University of Tokyo),
    Shinobu Hikami(OIST)
  • Schedule

December 2 (Mon)

10:30 - 11:30          Yusuke Kuno (Tsuda University)
                                On spin structures associated with a trivalent fatgraph spine
13:00 - 15:00          Anton Zeitlin (Louisiana State University)
                                Introduction to the theory of super Riemann surfaces.

December 3 (Tue)

10:30 - 11:30         Casey Blacker (East China Normal University)
                              Polysymplectic Reduction and the Moduli Space of Flat Connections
13:00 - 15:00         Anton Zeitlin (Louisiana State University)
                               N = 1 and N = 2 super-Teichmueller theory
15:30 - 16:30         Shinobu Hikami(OIST)
                               Ramond punctures and p-spin curves in a random matrix theory
17:00 - 18:30         Tuesday Seminar on Topology
　　　　　　        Anton Zeitlin (Louisiana State University)
　　　　　　　    Homotopy Gerstenhaber algebras, Courant algebroids, and Field Equa- tions

December 4 (Wed)


10:30 - 11:30          Motoko Kato (EhimeUniversity)
　　　　　　　   Thompson’s groups and their actions on non-positively curved spaces
13:00 - 15:00          Anton Zeitlin (Louisiana State University)
　　　　　　　　Super-Teichmueller theory: some recent results


Workshop: Singularities and related topics

  • Date: July 30-August 2, 2019
  • Venue: The University of Tokyo (Komaba),Room 002.
  • Organizers:
    • Shihoko Ishii (The university of Tokyo/Tsinghua University)
    • Kei-ichi Watanabe (Nihon University)
    • Masataka Tomari (Nihon University)
    • Shinobu Hikami (OIST)
  • Invited Speakers:
    • Anne Moreau(Lille)
    • Claus Hertling(Mannheim)
    • Shihoko Ishii(The University of Tokyo/Tsinghua University)
    • Masataka Tomari(Nihon University)
    • Kei-ichi Watanabe(Nihon University)
    • Makiko Mase (Mannheim)
    • Kazuhiko Kurano (Meiji University)
      (others)​
  • Description;  Brieskorn type quasi homogeneous singularities are related to the  theory of the moduli space of spin curves, as discussed by  Natanzon and Pratoussevitch. In this workshop, we discuss related topics of the  singularities, jet schemes and arc spaces, mirror symmetry and conformal field theory.
  • Program 
  • Slides
  • Correspondence: shiho.saito@oist.jp

 

OIST Symposium: Quantum and Gravity

  • Date:  July 23-27, 2019
  • Venue: OIST, Seaside house
  • Organizers:
    • Reiko Toriumi(OIST) and Shinobu Hikami(OIST)
  • Description:
    Quantizing gravity has been one of the most difficult problems in physics. There have been many approaches to quantizing gravity, which have given us mathematically and physically interesting ideas, such as the unification of forces, the emergence of spacetime, the problem of time, information paradox, spacetime foam, non-commutativity of spacetime, extra dimensions like Calabi-Yau manifold, duality, holography, etc. Geometry, which initially found a link to gravity by Einstein has been playing a major role in the studies of quantum gravity such as matrix models, tensor models, lattice methods like causal dynamical triangulations and Regge calculus, etc. Quantum field theory (QFT), which gave us a tremendous success in describing the Standard Model including the weak, the strong and the electromagnetic forces, is also a central solid modern tool in describing physical systems with many degrees of freedom. QFT lets us explore critical phenomena and the scale dependence of the physics through the renormalization group. In this symposium, we focus on such pillars of modern physics which are tied together in the research of quantum gravity. We aim at creating an open versatile atmosphere in order to advance further in the better understanding of each approaches in order to understand the grand problems of quantum description of gravitation.
  • Website
  • Correspondence: quantumandgravity@oist.jp, workshop@oist.jp

RIKEN-OIST mini Workshop 2019: Mathematical Condensed Matter Physics

  • Date: July 5-6, 2019
  • Venue: B250, Center Building, OIST
  • Organizers:
    • Masahiro Nozaki (RIKEN) Chair person
    • Masaru Hongo (Keio Univ./RIKEN)
    • Kanato Goto (RIKEN)
    • Hidehiko Shimada (OIST)
  • Lecturers
    • Takuya Furusawa (TIT/RIKEN)
    • Yuta Sekino (RIKEN)
    • Shinobu Hikami (OIST)
  • Participants:
    • Keisuke Fujii (TIT)
    • Kanato Goto (RIKEN)
    • Masaru Hongo (Keio Univ./RIKEN)
    • Arkaprava Mukherjee (OIST)
    • Masahiro Nozaki (RIKEN)
    • Hidehiko Shimada (OIST)
    • Ken Shiozaki (RIKEN)
    • Masato Taki (RIKEN/Rikkyo Univ.)
    • Shoichiro Tsutsui (RIKEN)
    • Wenliang Li (OIST)
  • Program
  • Workshop Website

 

RIMS x OIST Workshop: “On the problem of resolution of singularities and its vicinity”

  • Date: June 10 - June 14, 2019
  • Venue: Seaside house (OIST)
  • Organizers:
    • K. Matsuki (Purdue Univ.)
    • H.Kawanoue (Chubu Univ.)
    • S. Ishii (Univ. of Tokyo/Tsinghua Univ.)
    • T.Yasuda (Tohoku Univ.)
    • S.Hikami (OIST)
  • Description:
    The goal of this workshop is to study the recent developments on one of the most long-standing and fundamental problems in Algebraic Geometry, the problem of resolution of singularities in positive characteristic, and communicate the results in its surrounding areas, with a view toward its ultimate solution. The workshop will give us a unique opportunity for the world leaders on the problem and the active experts on the subject to gather at one place and carry out intensive discussions in a seminar-style environment. We also aim at disseminating the basic techniques and methods among the younger researchers and students through the lectures given in the morning.
  • Participants list:PDF file
  • Program
  • Group Photo
  • Correspondence: shiho.saito@oist.jp

         *This workshop is supported by RIMS, OIST, and JSPS KAKENHI (Grant Number18K18710)

Workshop: Johnson homomorphisms and related topics 2019

  • Date: May 13 – 17, 2019
  • Venue: The University of Tokyo, Lecture Hall of the Mathematical Science Building
  • Organizers:
    • Shinobu Hikami
    • Nariya Kawazumi
    • Gwenael Massuyeau
    • Hiroaki Nakamura
    • Takuya Sakasai
    • Christine Vespa
  • Correspondence: Takuya Sakasai, sakasai (at) ms.u-tokyo.ac.jp
  • Description: Website

Seminar:

  • Date: Tue, Mar 5- 2019
  • Time: 10:30-11:30
  • Venue: C016, Lab1
  • Speaker: Prof. Chushun Tian (Institute of Theoretical Physics, Chinese Academy of Sciences)

Title: "Topology from chaos: quantum Hall physics, Haldane conjecture and beyond"

Abstract: Chaotic and topological phenomena have totally opposite characteristics: the former/latter are extremely sensitive to/robust against the change in system's details (e.g., the parameters of the Hamiltonian, the initial conditions, etc.). Thus they are commonly considered not to be compatible. In this talk, I will show how, by introducing a spin degree of freedom to the canonical model of chaotic dynamics, the so-called quantum kicked rotor (QKR), which is simply a particle moving on a ring and subjected to pulsed external force, rich dynamical behaviors of topological origin arise. These include, notably, the realization of quantum Hall physics and Haldane conjecture, which occur originally to totally different systems, namely, many-electron systems and quantum antiferromagnetic chains, respectively. I will show how a supersymmetry structure arises from the time-driving nature of QKR, and serves as a seed for a wealth of topological phenomena in this chaotic system as simple as being single-particle.

Workshop “Quantum Math”

  • Organizers:  Y. Kawahigashi (Univ. Tokyo) and S. Hikami (OIST)
  • Description:
    Collaboration between mathematics and physics becomes more important and essential for recent development in quantum mathematical physics. We discuss new issues such as entropy of black hole, integrable system, conformal field theory and bootstrap in higher dimensions, algorithm in resolution of singularities, super moduli space, non-commutative geometry and operator algebra, and their application to quantum information and quantum computation.
  • Date: Mar 2-3, 2019
  • Time: 13:00-18:00 (Mar 2), 9:30-13:00 (Mar3)
  • Venue: B700, Lab3, OIST Campus
  • Confirmed Speakers:
  • Program
  • Photo
  • Accommodation: Hotel Moon Beach
  • Transportation
  • Correspondence: shiho.saito@oist.jp

         *This workshop is supported by KAKENHI KIBAN(C)16K05491

Silver Workshop: Complex Geometry and Non-Coummutative Geometry

  • Organizers:  Noriko Yui (Queen's University), Kyoji Saito (IPMU) and Shinobu Hikami (OIST)
  • Date: Feb 28-Mar1, 2019
  • Time: Feb 28 10:30 am - 6:00 pm,  Mar 1 10:30 am - 4:50 pm
  • Venue: C210, Center Building, OIST Campus
  • Talkers:
    • George Elliott (Toronto Univ)  Abstract
    • Shinobu Hikami (OIST)   Abstract
    • Toshiyuki Mano (Ryukyu Univ.)   Abstract
    • Yasuyuki Kawahigashi (Univ. Tokyo)   Abstract
    • Kyoji Saito (IPMU)   Abstract
    • Noriko Yui (Queen's Univ.)   Abstract
    • Konstantin Aleshkin (Landau Institute)   Abstract
    • Motoko Kato (Univ. Tokyo)   Abstract
    • Shigeru Iitaka  (Gakushuin University)  Abstract
    • Mutsuo Oka (Tokyo Univ. of Science)  Abstract
  • Program
  • Accommodation: Hotel Moon Beach
  • Transportation
  • Contact: shiho.saito@oist.jp

Seminar: Towards a theory of classification: general setting​

  • Speaker: George Elliott (University of Toronto)
  • Date: Feb.27, 2019, 14:00-16:00
  • Venue: C210, OIST Center building

​An abstract classifying invariant—a functor!—for a certain kind of given category is constructed by passing to equivalence classes of morphisms, which themselves form a category. Thus, the objects are the same, but the classifying category—so named because isomorphism of objects downstairs implies isomorphism upstairs—is typically much simpler than the given one, as many morphisms are identified by the classification functor, and many automorphisms killed. (Note that one cannot just replace objects by isomorphism classes, as one doesn’t get a category this way.) The classifying category is a priori an abstract one, but, perhaps surprisingly, in interesting cases, its Yoneda concretization becomes spectacularly simple.

Workshop on "Hyperbolic Geomerty of the Moduli Space and Related Topics."

  • Dates: January 24-26, 2019
  • Venue : Jan 24-25:Room #123, Jan 26: Room #056
     Graduate School of Mathematical Sciences, The Univ. of Tokyo
    (Komaba Campus)
  • Description:
    The moduli space of compact Riemann surfaces, the space of all biholomorphism classes of compact Riemann surfaces, is one of the most attractive subjects in mathematics. Nowadays it firmly combines
    mathematical physics and integrable systems with low-dimensional topology including hyperbolic geometry of surfaces, which induces the Weil-Petersson symplectic structure on the space.   In particular, the topological recursion by Eynard and Orantin generalizing Mirzakhani's recursive formula for the Weil-Petersson volume has some strong influence in various research areas.
    In this workshop, we will intensively discuss some specific topics on the hyperbolic structure of the moduli space, and will have some talks on original researches.
  • Program

Special Lecture: Modularity of Calabi-Yau Manifolds

  • Date: Friday, February 22, 2019
  • Time: 10:00 am - 4:00 pm
  • Venue: Lecture room B715 (Lab3) , OIST.
  • Speaker: Noriko Yui (Queen’s University)
  • Abstract : 

Let X be a Calabi-Yaumanifold of dimension d.   In this talk, I would like to address the modularity questions around Calabi-Yau manifolds. We will confine ourselves to Calabi-Yau manifolds of small dimensions, e.g., d ≤ 3.  There are two types of modularity:

(A) Arithmetic modularity/automorphy.   This is concerned with Calabi-Yau varieties defined over Q (ornumberfields).  The main questions are the modularity/automorphy of the cohomological  L-seriesofthel-adic Galois representations associated to these varieties in the framework of Langlands Philosophy.

(G) Geometric modularity. This is concerned with families of Calabi-Yau manifolds. The main questions are the modular/automorphic properties of various invariants associated to these varieties, e.g., mirror maps, Gromov-Witten invariants, Donaldson-Thomas invariants, holomorphic anomaly equations, etc. arising in string theory. Quasi-modular forms, Jacobi forms, Siegel modular forms, and more general modular-like forms show their appearances in this land scpae.

Seminar:

  • Date: Wednesday, January 30, 2019
  • Time: 11:00 - 12:00
  • Venue: C016, Lab1
  • Speaker: Prof. Anton Zabrodin (National Research University Higher School of Economics, Moscow)

Title: "Elliptic solutions to BKP equation and many-body systems"

Abstract:  We derive equations of motion for poles of double-periodic (elliptic) solutions to the B-version of the KP equation. The motivation is the well-known story about elliptic solutions of the usual KP equation, where the dynamics of poles is given by the Calogero-Moser many-body system with elliptic potential. The basic tool is the auxiliary linear problem for the wave function.The result is a new many-body dynamical system with three-body interaction expressed through the Weierstrass elliptic function. This system does not admit Lax representation but, instead, it is equivalent to a sort of Manakov's triple equation with a spectral parameter. We also discuss integrals of motion which follow from the equation of the spectral curve and analyze analytic properties of the wave function on the spectral curve.

 

2018

OIST Mini Symposium "Holographic Tensors"

  • Organizers:  Reiko Toriumi (OIST) , Vincent Rivasseau (Univ. Paris Sud) and Shinobu Hikami (OIST)
  • Date: Oct 31-Nov 2, 2018
  • Venue: OIST Conference Center & Seaside House
  • URL: https://groups.oist.jp/cws/event/oist-mini-symposium-holographic-tensors

Silver Workshop : Complex geometry and related topics

  • Organizers:  Noriko Yui (Queen’s Univ.), Kyoji Saito (IPMU) and Shinobu Hikami(OIST)
  • Date: July 27th (Friday), 2018
  • Time: 10:30 am – 6:00 p.m. (6:00p.m. – 8:00pm, dinner for Prof. Sasakura)
  • Venue: University of Tokyo, Math. Department, Room 123
  • Tentative Program:
    • 10:30-10:40 Opening Kyoji Saito (IPMU)
    • 10:40-11:10 Shinobu Hikami (OIST), Brieskorn singularity and intersection theory (Abstract)
    • 11:10-11:30  Coffee break
    • 11:30-12:30  Kei-ichi Watanabe (Nihon Univ.), Homogeneous prime elements of 2 dimensional normal graded rings (Abstract)
    • 12:30-13:40  Lunch
    • 13:40-14:10  Shigeru Iitaka (Gakushuin), Super perfect numbers and super twin primes
    • 14:10-14:15  Break
    • 14:15-15:15  Shihoko Ishii (Tokyo Woman’s Christian Univ.) Singularities in positive characteristic (Abstract)
    • 15:15-15:35  Coffee break
    • 15:35-16:35  Noriko Yui (Queen’s Univ.), Supercongruences for rigid hypergeometric Calabi–Yau threefolds (Abstratct)
    • 16:35-16:45  Break
    • 16:45-17:15  Kyoji Saito (IPMU), Elliptic Artin group (Abstract)
    • 17:15-17:25  Break
    • 17:25-17:55  Mutsuo Oka (Tokyo University of Science), Remarks on the roots of generalized Lens equation
    • 18:00-20:00  Dinner at Lever son Verre (inside Campus)

Symposium: Bootstrap Approach to Conformal Field Theories and Applications

Scale invariant theories, i.e. theories which look the same at all distance and energy scales, play an important role in physics. Through Wilson’s renormalization group, scale invariant theories arise naturally in phase transitions. They are also the bread and butter of current thinking about particle physics beyond the Standard Model. These theories usually possess an emergent symmetry, conformal invariance, and are hence referred to as `Conformal Field Theories’ (CFTs). The quest to classify and solve CFTs is a major goal of theoretical physics. Recently, this quest has received a strong boost with the development of the ‘conformal bootstrap’ technique. This workshop will bring together two groups of researchers: theorists working on the conformal bootstrap and on formal aspects of CFTs, and condensed-matter and statistical theoretical physicists working on the concrete examples of systems exhibiting phase transitions described by CFTs. The goal will be to inform about the most important theoretical and practical developments in the conformal bootstrap, and about the most urgent questions relevant for condensed matter and statistical physics which can be addressed using conformal bootstrap.

  • Organizers: Slava Rychkov and Shinobu Hikami
  • Date: March 19-23, 2018
  • Venue: Conference Center, OIST
  • Invited Speakers:
    • Luis Fernando Alday (Oxford)
    • Nando Gliozzi (Torino)
    • Rajesh Gopakumar (ICTS-TIFR)
    • Sean Hartnoll (Stanford)
    • Shinobu Hikami (OIST)(organizer)
    • Yu Nakayama (Rikkyo)
    • Silviu Pufu (Princeton)
    • Leonard Rastelli (SUNY)
    • Slava Rychkov (ENS, CERN)(organizer)
    • Aninda Sinha (IIS, Bangalore)
    • Satoshi Yamaguchi (Osaka) 　　　
    • Masahito Yamazaki (IPMU,Tokyo)

RIKEN-Osaka-OIST Joint Workshop 2018

  • Organizers: :Koji Hashimoto (Osaka), Yoshimasa Hidaka (RIKEN), Hirohiko Shimada (OIST), Sotaro Sugishita (Main) (Osaka)
  • Date: March 12-14, 2018
  • Venue: B250 (Mar 12 & 13), C209 (Mar 14), OIST

Symposium:

The moduli space of compact Riemann surfaces, the space of all biholomorphism classes of compact Riemann surfaces, is one of the most attractive subjects in mathematics. Nowadays it firmly combines mathematical physics and integrable systems with low-dimensional topology including hyperbolic geometry of surfaces, which induces the Weil-Petersson symplectic structure on the space. In particular, the topological recursion by Eynard and Orantin generalizing Mirzakhani's recursive formula for the Weil-Petersson volume has some strong influence in various research areas.
In this workshop, we will read intensively some research papers on the symplectic structure of the moduli space and related topics, and will have some talks on original researches. This workshop is supported by a joint project between the OIST and the University of Tokyo.
This workshop is supported by a joint project between the OIST and the University of Tokyo.

  • Date: January 26 (Friday) - 28 (Sunday), 2018
  • Venue: Room 123, Graduate School of Mathematical Sciences Bldg., University of Tokyo (Komaba Campus).
  • Organizers: Y. Tadokoro (Kisarazu), T. Sakasai (Univ. Tokyo) and N. Kawazumi (Univ. Tokyo)

 

2017

MINI SYMPOSIUM: New development in Teichmuller space theory ; MCM2017

Theory of Teichmuller space has a long history for the moduli space of Riemann surface. Recently beyond classical Teichmuller space research, new extended concept and technique are developed and they are important for various areas of mathematical physics. Particularly higher Teichmuller space attracts interest, which concerns SL(n,R) geometry and its boundary. In this mini symposium, we concentrate on the new concept and technique and discuss from wide point of view of topology, physics and integrable systems. For examples, the cluster algebra and open intersection numbers are discussed closely. We intend to develop a theory for new structure of Teichmuller space in a new direction of mathematical physics.

  • Date: November 28 – 30, 2017
  • Venue: C210, Center Building, OIST
  • Organizers: Nariya Kawazumi (Univ. of Tokyo), Takuya Sakasai (Univ. of Tokyo), Shinobu Hikami (OIST)
  • Invited talkers:
    • A. Alekseev, Geneve Univ.
    • R. Inoue, Chiba Univ.
    • R. Kashaev, Geneve Univ.
    • T. Kitayama, Univ. of Tokyo
    • A. Kuniba, Univ. of Tokyo
    • A. Tsvietkova, OIST
  • Program: PDF
  • Photo: JPEG

Seminar:

  • Date: Thursday, November 9, 2017
  • Time: 13:30 - 14:30
  • Venue: Room 056, Graduate School of Mathematical Sciences Bldg., University of Tokyo (Komaba Campus).  Seminar via TV conference system in Room B611 (Lab2) , OIST.
  • Speaker: Prof. Edouard Brezin (lpt ens, Paris)

Title: "Various applications of supersymmetry in statistical physics". 

Abstract:  Supersymmetry is a fundamental concept in particle physics (although it has not been seen experimentally so far). But it is although a powerful tool in a number of problems arising in quantum mechanics and statistical physics. It has been widely used in the theory of disordered systems (Efetov et al.), it led to  dimensional reduction for branched polymers (Parisi-Sourlas), for the susy classical gas (Brydges and Imbrie), for Landau levels with impurities. If has also many powerful applications in the theory of random matrices. I will briefly review some of these topics.

Workshop: MSRI Summer Graduate School – Commutative Algebra and Related Topics

The purpose of the school will be to introduce graduate students to foundational results in commutative algebra, with particular emphasis of the diversity of the related topics with commutative algebra. Some of these topics are developing remarkably in this decade and through learning those subjects the graduate students will be stimulated toward future research. The lecturers will give topics courses and then the graduate students will meet in small groups and challenge problems and have discussion sessions related to each topic.

  • Date: May 22—June 2, 2017
  • Venue: OIST Seaside House (May 23 at Conference Center, OIST Campus)
  • Organizers: Shihoko Ishii (TWCU), Kazuhiko Kurano (Meiji), Ken-ichi Yoshida (Nihon), Shinobu Hikami (OIST)
  • Lecturers:
    • David Eisenbud (MSRI / University of California)
    • Claudia Polini (University of Notre Dame)
    • Claudiu Raicu (University of Notre Dame)
    • Shunsuke Takagi (University of Tokyo)
    • Ryo Takahashi (Nagoya University)
  • Program: PDF
  • Photo: jpg

Symposium: Geometry of Quadratic Differentials and Related Topics

Quadratic differentials, meromorphic tensor fields on Riemann surfaces of some special type, have been studied classically in hyperbolic geometry and complex analysis. Recently it has been clarified that low-dimensional topology including hyperbolic geometry of surfaces is closely related to mathematical physics and integrable systems. This can be illustrated by the topological recursion by Eynard and Orantin generalizing computation of the Weil-Petersson volume of the moduli space of Riemann surfaces, whose influence one can find in various research areas.  Accordingly quadratic differentials are playing some important roles also in mathematical physics and integrable systems. In this workshop, we will read intensively some research papers on the geometry of quadratic differentials and related topics, and will have some talks on original researches. This workshop is supported by a joint project between the OIST and the University of Tokyo.

  • Organizers: Y. Tadokoro (Kisarazu), T. Sakasai (Univ. Tokyo) and N. Kawasumi (Univ. Tokyo)
  • Date: January 11-13, 2017
  • Venue: University of Tokyo, Komaba, Mathematical Science Building #002     Info (in Japanese)

 

2016

Pre-Conference MCM2016 at Tokyo

  • Date: October 20-22, 2016 
  • Venue: University of Tokyo, Komaba, Mathematical Science Building 
  • Organizers: Nariya Kawazumi(Univ. Tokyo), Shinobu Hikami(OIST)
  • Program & Abstracts

Workshop: Moduli space, conformal field theory and matrix models; MCM2016

TSUDA COLLEGE AND OIST JOINT WORKSHOP ONCALABI–YAU VARIETIES:ARITHMETIC, GEOMETRY AND PHYSICS 

  • Date: August 1–3, 2016
  • Venue: August 1–2 at Tsuda College Room 7309,  August 3 at Tokyo University Komaba Campus Room 117 
  • Organizers: Noriko Yui (Queen’s University) and Takayuki Oda (OIST) 
  • Program (PDF) & Abstracts (PDF)

"OIST-iTHES-CTSR 2016" International Workshop

  • Date: Friday 8 - Monday 11 July, 2016
  • Venue: Fri 8th (B250), Sat 9th (C209), Mon 11th (B250)
  • Organizers: RIKEN iTHES, OSAKA CTSR, and OIST (Theoretical Units)

Seminar:

  • Date: Thursday, July 7, 2016
  • Time: 15:00 - 16:00
  • Venue: C209, Center Building, OIST
  • Speaker: Prof. Jean Zinn-Justin (CEA Saclay)

​Title: 3D field theories with Chern-Simons term for large N in the Weyl gauge

Abstract:  ADS/CFT correspondance has led to a number of conjectures concerning, conformal invariant, U(N) symmetric 3D field theories with Chern-Simons term for N large. An example is boson-fermion duality. This has prompted a number of calculations to shed extra light on the ADS/CFT correspondance.
We study here the example of gauge invariant fermion matter coupled to a Chern-Simons term. In contrast with previous calculations, which employ the light-cone gauge, we use the more conventional temporal gauge. We calculate several gauge invariant correlation functions. We consider general massive matter and determine the conditions for conformal invariance. We compare massless results with previous calculations, providing a check of gauge independence.
We examine also the possibility of spontaneous breaking of scale invariance and show that this requires the addition of an auxiliary scalar field.
Our method is based on field integral and steepest descent. The saddle point equations involve non-local fields and take the form of a set of integral equations that we solve exactly.

Seminar:

  • Date: Wednesday, March 30, 2016
  • Time: 11:00 - 12:00
  • Venue: C209, OIST
  • Speaker: Prof. Katsuya Shimizu（Osaka University）

Title: 200-K superconductivity in compressed hydrogen sulfide systems

Abstract:  After finding superconductivity in 100 years ago, "room-temperature"superconductor has been long-fascinated target for physicists. Superconductivity above 200K was recently reported in the highly compressed hydrogen sulfide (H2S) by Drozdov et al1.  The crystal structure of the superconducting sulfur hydride systems was studied by using the synchrotron x-ray diffraction at room temperature and the superconducting temperature. H2S and D2S were compressed to 150 GPa in DAC with same process with Drozdov et al1, and cooled down to 10 K in the cryostat in the x-ray diffractometer in SPring-8. The resistivity was onitored at all cooling process. The critical temperature and zero resistivity were observed around 180 K, and the collected x-ray diffraction data showed good agreement with the theoretically predicted structures of R3m and Im-3m2. No structural difference was observed between at 10 K and room temperature.  The creation of the high-temperature superconductor was experimentally also confirmed by our Osaka group. H2S gas was cooled down to around 200 K and liquefied then compressed up to 150 GPa in a diamond-anvil cell (DAC). The resistance decreased with increasing pressure and showed metallic behavior in cooling process. The superconducting transition was observed at 60-70 K with zero resistance. At the second cooling after warmed up to room temperature, the resistance dropped to zero from 180 K.

This work was supported by JSPS KAKENHI Grant Number 26000006 and the European Research Council 2010-Advanced Grant 267777.

References:
[1] A. Drozdov et al., Nature 525 73 (2015). 
[2] D. Duan et al., Scientific Reports 4, 6968 (2014).

 

2015

Seminar:

  • Date: Friday, December 25, 2015
  • Time: 11:00 - 12:00
  • Venue: C015, Lab1, OIST
  • Speaker: Prof. Yasutomo J. Uemura　（Columbia University）

Title: BEC to BCS crossover picture for high-Tc cuprate and unconventional superconductors, and pairing due to comparable spin-charge energy scales: message from muons and neutrons

Abstract:  Soon after the discovery of high-Tc superconductors in 1986, we started muon spin relaxation (MuSR) measurements of the magnetic field penetration depth, and demonstrated nearly linear correlations between Tc and the superfluid density n_{s}/m^{*}, which are manifest not only in cuprates but also in many other unconventional superconductors including Alkali doped C60, FeAs and some of the heavy-fermion systems .  The strong dependence of Tc on carrier density is not expected in the BCS condensation, but is a main characteristic of Bose Einstein Condensation.  Another important scaling of Tc is seen with the energy of  the magnetic resonance mode measured by neutron scattering, which can be viewed as a spin–charge soft mode related to competing antiferromagnetic state, analogous to rotons in superfluid He related to competing solid HCP phase. This roton-like scaling is expected when condensed bosons are excited with phase fluctuations to another bosonic state, without pair breaking.  This again is different from pair-breaking excitations across the energy gap in BCS condensation. We discuss these features and adopting BEC-BCS crossover picture for the cuprates, which I proposed in 1994 .  Further analyses of the Tc-superfluid density (charge energy) scaling and Tc-spin wave energy (mediating boson energy) correlations lead to a possible pairing mechanism based on comparable spin and charge energy scales and dynamic synchronized charge motion in “traffic-light resonance”

References:
[1] Y.J. Uemura et al., Universal Correlations between Tc and ns/m∗ (Carrier Density over Effective Mass) in High-Tc Cuprate Superconductors, Phys. Rev. Lett. 62 (1989) 2317-2320.
[2] Y.J. Uemura et al., Basic Similarities among Cuprate, Bismuthate, Organic, Chevrel Phase, and Heavy-Fermion Superconductors Shown by Penetration Depth Measurements, Phys. Rev. Lett. 66 (1991) 2665-2668.
[3] Y.J. Uemura, Superconductivity: Exotic Commonalities in Phase and Mode, Nature Materials 8 (2009) 253-255.
[4] Y.J. Uemura, Energy Scales of Exotic Superconductors, an invited talk presented at the International Workshop on Polarons and Bipolarons in High-Tc Superconductors and Related Materials,Cambridge, UK, April, 1994, in Polarons and Bipolarons in High-Tc Superconductors and Related Materials, ed. by E. Salje, A.S. Alexandrov and Y. Liang, Cambridge University Press (1995), p.p.453-460.
[5] Y.J. Uemura, Energy-scale phenomenology and pairing via resonant spin-charge motion in FeAs, CuO, heavy-fermion and other exotic superconductors (Plenary Talk at SCES2008, Buzios, Brazil, Aug., 2008), Physica B404 (2009) 3195-3201.

Workshop on "Moduli spaces of abelian varieties and curves, and related analysis"

  • Dates: December 15-18, 2015
  • Venue : Graduate School of Mathematical Sciences, The Univ. of Tokyo (@Komaba Campus)
  • Program: PDF

RMT2015: Random matrix theory from fundamental mathematics to biological applications

  • Date: Monday, November 2- Friday, November 6,  2015
  • Venue: C209, OIST
  • Schedule, Title and Abstract: PDF
  • Slides

Seminar:

  • Date: Friday, November 20, 2015
  • Time: 11:00-12:00
  • Venue: C016, Lab1, OIST
  • Speaker: Tsunehide Kuroki (Kagawa Kosen)

Title: Spontaneous supersymmetry breaking in matrix model and superstring theory

Abstract: We show that a supersymmetric matrix model is a promising candidate for the first example of nonperturbative definition of superstring theory. We prove that in this model, the supersymmetry is preserved in all orders in perturbation theory in the 1/N expansion, but that it gets broken nonperturbatively and spontaneously. We observe that this breaking is triggered by an instanton in the matrix model. We also present quite recent results of correlation functions in the matrix model in all orders of the 1/N expansion by using the random matrix theory. These results convince us that the matrix model is a string theory.

MCM2015 Autumn:

  • Date: Thursday, October 29 and Friday, October 30, 2015
  • Venue: Komaba, University of Tokyo, Math. Dep.  Room 002.
  • Schedule:
    • October 29th (Thursday)
      • 10:00-11:00 Hikami
      • 11:30-12:30 Andersen
      • 14:30-15:30 Sakasai
      • 16:00-17:00 Hayata
      • 18:00- Dinner at Komaba
    • October 30th (Friday)
      • 10:00-11:00 Murakami
      • 11:30-12:30 Zinn-Justin
      • 14:30-15:30 Kuno
      • 16:00-17:00 Shimada
  • Title and Abstract: PDF

Seminar: 

  • Date: Wednesday, May 27th, 2015
  • Time: 13:00-14:00
  • Venue: C016, Lab1, OIST

Speaker: Dr. Serguei Brazovskii from CNRS & University Paris-Sud, Orsay, France

Title: Solitons in low dimensional electronic systems of synthetic conductors.

Abstract:   A vast variety and whole families of “synthetic conductors” have been designed by motivation and for the purpose of obtaining desired electronic and optical properties. A firework of new physical effects of electronic correlations feeds fundamental experimental and theoretical researches. Diverse phase transitions are commonly observed towards various electronic phases: superconductivity, anti-ferromagnetism, ferroelectricity, charge order, charge- and spin density waves, Mott and Peierls insulators, phases induced by high magnetic and electric fields and by optical pumping. Vulnerability of the broken symmetries gives rise to topological defects like electronic vortices, walls, stripes. The typical low-dimensional architecture of these compounds brings these objects to a microscopic scale giving rise to “solitons” which description will be the major content of this talk. The solitons are self-localized configurations which shapes explore the ground state degeneracy. The mathematics of exact solutions for many-body models relates these trajectories to profiles of waves’ arrays and of superwaves in the ocean and to pulses in optical fibers. The solitons can be the lowest energy optical excitations or the carriers of charge or/and spins, taking these functions from conventional electrons. The “instantons” appear as processes of dynamic conversion of normal electrons into solitons. In a broad class of strongly correlated systems, beyond the low-dimensionality, the solitons can persist acquiring forms of more complicated topological excitations which give incarnations to long time searched “spinons” and "holons"

Host: Prof. Shinobu Hikami

Seminar:

  • Date: Wednesday, June 3, 2015
  • Time: 13:00-14:00
  • Venue: C016, Lab1, OIST
  • Speaker: Dr. Natasha Kirova from CNRS & University Paris-Sud, Orsay, France

Title: Electronic ferroelectricity in carbon-based systems: from reality of organic conductors to promises of polymers

Abstract:   All families of carbon based materials – graphite, graphene, nanotubes, fullerenes and a vast multitude of conjugated polymers and organic crystals – are promising electronically and optically active substances. Recently a new perspective has been added to their researches: an electronic ferroelectricity. Ferroelectrics are exploited as active gate materials, in capacitors, electro-optical-acoustic modulators, in WiFi devices, in perspective RAM. Flexible lightweight carbon ferroelectrics are desired as ultrasound sensors in medical imaging. The super-polarisable state of “the ferroelectric Mott semiconductor” was discovered (Grenoble-Orsay-Moscow) in conducting organic stacks. Less conducting ferroelectrics complexes with neutral-ionic transitions (Tokyo-Tsukuba) became the objects of studies by advanced femto-second and tera-Hz optics (Tokyo). The principle novelty of organic ferroelectrics is that the polarization comes from electronic ordering rather than from ionic displacements. The microscopic design of all new materials is based on coexisting symmetry lowering effects: the dimerization of bonds and the dimerization of sites. With this forecast we could indicate the class of conducting polymers where the ferroelectricity should be present. The theory predicted an existence of solitons (which might have been already observed in Utah experiments on Kyoto materials) with non-integer variable charges, which are the walls separating domains with opposite electric polarisations. Their physics will serve to relate transient ferroelectric processes and the visible range optics. The same symmetry principle applies also to zigzag edges of graphene nano-ribbons which can be tested for the ferroelectricity.

Host: Prof. Shinobu Hikami

RIKEN-Osaka-OIST-Taiwan mathphys workshop

  • Date: March 2-4, 2015
  • Venue: OIST Main Campus, B503, Lab.1

Seminar:

  • Date: March 5, 2015 10:00 am-11:00 am
  • Venue: C016, Lab1, OIST
  • Speaker: Dr. Tatsuo Azeyanagi (LPTENS, Paris)

Title: Anomalies, Chern-Simons Terms and Black Hole Entropy

Abstract:  Quantum anomalies enable us to access to some important information about quantum field theories in a robust way. Recently, the hydrodynamic limit of the systems with the anomalies has been actively investigated, together with its dual holographic description by gravitational theories with Chern-Simons terms.  In this presentation, I will start with a review on the effect of the anomalies in the hydrodynamic limit of conformal field theories. Then I would like to explain how the beautiful property of Chern-Simons terms helps us to compute in detail various quantities relevant to the anomalies through the dual gravitational description. I will also discuss the implication of our analysis to microscopic counting of black hole entropy in higher dimensions.

 

Topotronics2015:  The 1st International Workshop on the Topological Electronics,

  • OIST B250, March 9-11, 2015

MCM2015: Moduli Space, Conformal Field Theory and Matrix Model,

  • OIST C209, March 16-18, 2015
  • Program, Titles and Abstracts of the Talks  (PDF)
  • The slide files (PDF) are listed HERE. You need the password in order to open these files.

 

2012-2014

RMT2013 Fluctuations of Complex Systerms,  OIST Seaside House & C209,  Oct 27 - Nov 1, 2013

JIBW 3rd Japan-Israel Binational Workshop on Quantum Phenomena, OIST Seaside House, March 10-13, 2013

RMT2012 :OIST Spring Course on Random Matrix Theory for Complex Systems OIST Seaside House, April 15-21, 2012