Boris Feigin教授 スーパーグローバルコース数学基礎講義

Boris Feigin教授(Kyoto University / Landau Institute for Theoretical Physics)によるスーパーグローバルコース数学基礎講義を下記の要領で行います。

日 時
7月19日(火) 14:45〜16:45
7月20日(水) 14:45〜16:45
7月21日(木) 13:00〜15:00 / 15:00〜17:00
7月22日(金) 14:45〜16:45
場 所
京都大学理学部3号館 127大会議室
題 目
Shuffle algebras, integrable systems and Bethe equations
Bethe equations appear when you try to find eigenvalues of Hamiltonians from quantum integrable systems. There are many very different constructions of integrable systems but Bethe machinery seems to be universal, and it is rather unclear why. May be because of lack of understanding - we just do not know the better tools.
In my lectures I will try to explain some recent results about KdV-like systems. People suspected that Bethe equations have to be involved when you studying eigenvalues but situation was very unclear. Now we have some progress. New ideas ideologically not far from so called AGT-conjecture. It means that new approach uses the ideas from geometry of instanton manifolds.
No particular knowledge on representation theory is required.
言 語