Shuffle algebras, integrable systems and Bethe equations

Date: 
2016/07/19 Tue 14:45 - 16:45
2016/07/20 Wed 14:45 - 16:45
2016/07/21 Thu 13:00 - 15:00
2016/07/21 Thu 15:00 - 17:00
2016/07/22 Fri 14:45 - 16:45
Room: 
127 Conference Room, Building No.3
Speaker: 
Boris Feigin
Affiliation: 
Kyoto University / Landau Institute for Theoretical Physics
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.

Poster (PDF)