数理理論物理学ユニット (氷上 忍)

数理理論物理学ユニット

氷上 忍 教授

 

出版物


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

 

概要

物理現象には普遍的な振る舞いが見られます。磁性体での相転移現象では臨界指数と呼ばれる量が対称性や次元数で決まり、どのような原子から出来ているのかには依りません。

また金属・絶縁体転移も普遍的な現象であることが分かっています。このユニットではランダムな不純物散乱やポテンシャルがある無秩序系での普遍的現象を研究しています。

ブラウン運動でのランダムウオークは良く知られていますが、これを多体問題にしたランダム行列模型を研究して、さまざまな普遍現象に応用しています。量子ドットのエネルギー準位や弦理論・ゲージ理論にも応用出来ます。DNAやたんぱく質の分子配列はランダムな配列に見えますが、その配列には統計的な普遍的性がありランダム行列理論で説明出来るものがあります。生物系は複雑系ですが、それに数理理論物理学からランダム行列理論を使ってアプローチすることを目指しています。

今後のイベント

 

 


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

 

  • Date: October 11- 15, 2021
  • Venue: Hybrid: OIST lecture room (OIST) & online
  • Accommodation: Seaside house (OIST)
  • Organizers:
    •   Shihoko Ishii (Univ. of Tokyo)
    •   Hiraku Kawanoue (Chubu Univ.)
    •   Tohru Omoto (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.
     
  • Program:

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)
  • Schedule (each lecture50 min. discussion 5 min.)
    1. 15:00-16:00 (JST)
    2. 16:00-17:00
    3. 17:00-18:00
    4. 18:00-19:00
       
  • Contact: miwako.tokuda@oist.jp, workshop@oist.jp
    *This workshop is supported by RIMS, OIST, and JSPS KAKENHI

 

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