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241 - Super Global Course Basic Lectures, 2016

The Minimal Model Program for Varieties of Log General Type

Super Global Course Basic Lectures

Boris Feigin
Kyoto University / Distinguished Visiting Professor
Landau Institute for Theoretical Physics / Leading researcher
Higher School of Economics / Professor

July 19, 20, 21, 22 and 23, 2015
Room 127, Graduate School of Science Bldg No 3

Lecture Video

Course Description

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.