Representations and Lie Theory Seminar

Fall 2017

Time: Wednesday, 16:30 - 17:30
Location: MW 154


Schedule of talks:


 

TIME  SPEAKER TITLE
August 23 Oleksandr Tsymbaliuk Shifted quantum affine algebras and shifted Yangians
August 30
September 6
September 13
September 20
September 27
October 4
October 11
October 18
October 25 No seminar Talk in Invitations Seminar
November 1 Robin Walters
November 8
November 15
November 22 No seminar Thanksgiving
November 29
December 6

Abstracts

August 23: In this talk, I will speak about shifted quantum affine algebras and shifted Yangians, as well as their incarnations through geometry of parabolic Laumon spaces, affine Grassmannians, and Toda lattice.
The shifted Yangians were originally introduced by Brundan-Kleshchev in the gl(n) case with a dominant shift and were later generalized by Kamnitzer-Webster-Weekes-Yacobi to any simple Lie algebra with an arbitrary shift. These algebras attracted recently a new interest due to their interplay with the Coulomb branches.
In the first half of the talk, I will remind those results about shifted Yangians, while the second part will be devoted to the multiplicative analogue of this story. On the algebraic side this leads to the notion of shifted quantum affine algebras, while on the geometric side we replace cohomology by K-theory.
This is a joint work with M. Finkelberg.


Previous seminar (Spring 2017)

Previous seminars (2015-16)