Super Global Course Basic Lectures by Prof. Boris Feigin (Kyoto University / Landau Institute for Theoretical Physics) will take place as follows:

Course title

Super Global Course Basic Lectures

Date & Time

July 19 - 22, 2016
Tue, July 19　14:45-16:45
Wed, July 20, 14:45-16:45
Thu, July 21, 13:00-15:00 / 15:00-17:00
Fri, July 22, 14:45-16:45

Venue

127 Conference room, Faculty of Science Bldg. #3, Kyoto University

Title

Shuffle algebras, integrable systems and Bethe equations

Abstract

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.

Language

English