organized by Igor Krichever and Andrei Okounkov
Mondays, 5:00, Room 507
Schedule of talks for Fall 2012:
||Michael McBreen and Daniel Shenfeld
||Hypertoric varieties and
abelianization in quantum cohomology
|September 17||Alexander Veselov||Universality in Lie algebras and Chern-Simons theory|
||Michael McBreen and Daniel Shenfeld||continuing
discretization of integrable systems and addition theorems
|October 15||Hiraku Nakajima|
||Cherednik algebras and Khovanov-Rozansky
||Geometric engineering and refined DT theory
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.
Title. "Hirota-Kimura discretization of integrable systems and
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"