MIT Infinite-Dimensional Algebra Seminar

Friday, September 15, 2023 at 3:00pm to 5:00pm

Building 2, 2-135
182 MEMORIAL DR, Cambridge, MA 02139

SpeakerValerio Toledano-Laredo (Northeastern University)

Title:  Pure Braid Group Actions on Category O 

Abstract:  Let g be a symmetrisable Kac-Moody algebra. The corresponding quantum Weyl group operators give an action of the braid group of g on integrable
modules over the quantum group Uhg.  Answering a question of Pavel
Etingof, we prove that the restriction of this action to the pure braid group
extends to all (not necessarily integrable) category O modules for Uhg.
We also show that this action describes the monodromy of the Casimir
connection of g on category O modules. This is joint work with Andrea
Appel, and is based on [1]




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prob_sem, aldixon, faculty, Graduate Students, Applied Mathematics Seminar


Department of Mathematics


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