Mathematical and Theoretical Physics Unit (Shinobu Hikami)

Mathematical and Theoretical Physics Unit 

Professor Shinobu Hikami

 

Book


  E. Brezin and S. Hikami,
  Random Matrix Theory with an External Source,
  SpringerBriefs in Mathematical Physics 19, (2016), Springer Singapore. 

 

Abstract

Universal behaviors can be observed in various physical phenomena. For instance, a magnet shows a phase transition with critical indices, which are determined by the symmetry and the space dimensions. They do not depend on the details of the materials. In our unit, we study the universal phenomena of the disordered systems which are typically described by random scatterings and random potentials. The random walk in Brown motion is one of the well-known problems in this field. The aim of our study is to generalize these approaches through the random matrix model and to discuss the universal phenomena.

The random matrix model can be applied to low dimensional electronic system such as a quantum dot, and also to the string theory and gauge theory. The molecular-sequence of DNA or protein seems randomly distributed, but some of these sequences can be explained by random matrix theory. The biological system is an extremely complex system. Our research project is an approach to the biological system from the mathematical and theoretical physics by the use of the random matrix theory.

Upcoming Events

 

Past Events

Seminar:

Title: Superconductivity, magnetism and nematicity in thin films of Fe chalcogenides

  • Date: Monday, June 13, 2022
  • Time: 17:00-18:00
  • Zoom
  • Speaker: A. Maeda, and F. Nabeshima (University of Tokyo)
  • Abstract: PDF

Silver workshop 2022   :  “Complex geometry and related topics”

Hybrid of on-site & on-line (zoom) conference

  • Organizers: Noriko Yui (Queen’s University at Kingston), Kyoji Saito (RIMS), Shinobu Hikami (OIST)
  • Dates:  January 11-12, 2022
  • Venue: International House of Japan (IHJ), (Roppongi 5-11-16/Tokyo) https://www.i-house.or.jp/
  • Schedule
    11th January (room 404)

    9:00-10:00 George Elliott, zoom talk (19:00 EST 10th Toronto)

     “The classification of well-behaved simple amenable C*-algebras, and applications”

    10:00-11:00 Yasuyuki Kawahigashi, 

    "Tensor networks and operator algebras”

    11:00-12:00 Mutsuo Oka, 

    "Generalization of A'Campo-Varchenko formula for almost non-degenerate functions"

    12:00-13:30 Lunch (The Garden)

    13:30-14:30 Shinichi Tajima, 

    “Grothendieck residue mappings and holonomic D-modules”

     

    12th January (room 404 (morning)& room D(afternoon))

    9:00 (JST)-10:00 Noriko Yui, zoom talk (19:00 EST 11th Toronto),

      “Siegel modularity of certain Calabi-Yau threefolds over Q”

    10:00-11:00 Shinobu Hikami, 

    “Modularity and links in the intersection theory of p-spin curves”

    11:00-12:00 Shihoko Ishii,

    “Ideals in positive characteristic and fractional ideals in characteristic 0“

    12:00-13:30 Lunch (The Garden) 

    13:30-14:30 Makiko Mase,

    Orlik’s conjecture and the Milnor lattice of isolated hypersurface singularities“

 

Events (2012-2021)