organized by Igor Krichever and Andrei Okounkov
Mondays, 5:00, Room 507
Schedule of talks for Fall 2012:
| September 10 |
Michael McBreen and Daniel Shenfeld |
Hypertoric varieties and abelianization in quantum cohomology |
| September 17 | Alexander Veselov | Universality in Lie algebras and Chern-Simons theory |
| September 24 |
Michael McBreen and Daniel Shenfeld | continuing |
| October 1 |
Yuri Suris |
Hirota-Kimura
discretization of integrable systems and addition theorems |
| October 8 |
Daniel Shenfeld |
continuing |
| October 15 | Hiraku Nakajima | |
| October 22 |
Michael McBreen |
|
| Nov 12 |
Eugene Gorsky |
Cherednik algebras and Khovanov-Rozansky
homology |
| Nov 19 |
Balazs Szendroi |
Geometric engineering and refined DT theory |
Abstracts
Alexander Veselov, Loughborough University, UK
Title: "Universality in Lie algebras and Chern-Simons theory"
Abstract. I will show that the eigenvalues of certain natural Casimir
operators in the adjoint representation of simple Lie algebras can be
expressed rationally in the universal Vogel parameters and give
explicit
formulae for the corresponding generating functions. Similar universal
formulae can be given for some quantities in Chern-Simons theory on a
3D
sphere. The talk is based on joint results with Mkrtchyan and Sergeev.
Yuri Suris, Technische Universität Berlin
Title. "Hirota-Kimura discretization of integrable systems and
addition theorems"
Abstract: "Hirota-Kimura discretization method is applicable to any
integrable system with quadratic vector field and leads to birational
maps which very often turn out to be integrable, as well. In this
talk, we are going to present an overview of available results on this
discretization method and discuss its relations with addition theorems
for elliptic and more general abelian functions"