Boris Feigin教授 スーパーグローバルコース数学特別講義

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特別講義を下記の要領で行います。

スーパーグローバルコース 数学特別講義2
日 時
2018年7月23日〜7月26日 全4回
  • 7月23日(月) 14:00〜17:00
  • 7月24日(火) 14:00〜17:00
  • 7月25日(水) 15:00〜17:00
  • 7月26日(木) 15:00〜17:00
場 所
京都大学理学部3号館 127大会議室
題 目
Vertex Operator Algebras and Integrable Systems
概 要
First I plan to discuss the known ways of constructing vertex operator algebras. We can use "screenings" - it means that we can find the vertex operator subalgebras into the known ones. Opposite idea - extensions of VOA. In this case we are trying to embed the algebra into the bigger. I present the basic examples of these constructions. We discuss W-algebras and their applications. Vertex algebras produce D-modules on the interesting geometric objects. So we will talk about Hitchin systems and D-modules appearing in geometric Langlands - usual and quantum.
After that I explain what to do if we have the system of screening corresponding to the affine root system. They do not define vertex algebra but something which has not good name. The object which we get by this way is rather close to the non-conformal field theories and contains the integrable system - commutative algebra of KdV type.
言 語
備 考