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 ChernSimons theory 
September 24 
Michael McBreen and Daniel Shenfeld  continuing 
October 1 
Yuri Suris 
HirotaKimura
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 KhovanovRozansky
homology 
Nov 19 
Balazs Szendroi 
Geometric engineering and refined DT theory 
Abstracts
Alexander Veselov, Loughborough University, UK
Title: "Universality in Lie algebras and ChernSimons 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 ChernSimons theory on a
3D
sphere. The talk is based on joint results with Mkrtchyan and Sergeev.
Yuri Suris, Technische Universität Berlin
Title. "HirotaKimura discretization of integrable systems and
addition theorems"
Abstract: "HirotaKimura 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"