Dr. Oleksandr Tsymbaliuk

Shifted Quantum Affine Algebras and Relativistic Toda Systems

Since the early work of Beilinson-Bernstein, Ginzburg, Lusztig, and Nakajima, it became clear that the study of various interesting geometric moduli spaces brings better understanding towards the questions in pure representation theory. In particular, equivariant cohomology/K-theory of Nakajima quiver varieties provide a natural model for the action of the infinite-dimensional quantum groups.

 

In this talk, I will speak about shifted quantum affine algebras, their incarnation through the geometry of parabolic Laumon spaces and Coulomb branches, as well as their deep relation to a new family of integrable systems, generalizing the q-Toda systems of Etingof and Sevostyanov.

 

This talk is based on two joint works with M. Finkelberg.

 

http://gauss.math.yale.edu/~ot45/

Wednesday, February 7 at 4:00pm to 5:10pm

Campus Surge, 284

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