Geometric Representation Theory

Event Information Monodromy of Bethe vectors and crystals
15:10 on Thursday March 23, 2017
16:30 on Thursday March 23, 2017
Stewart Library, Fields Institute, 222 College St.
Joel Kamnitzer

University of Toronto

Crystals provide a combinatorial model for representations of semisimple Lie algebras. Given a tensor product of crystals, the cactus group acts by permuting these tensor factors. Etingof conjectured that these actions of the cactus group could be obtained by monodromy of eigenvectors for Gaudin algebras. I will explain our recent proof of this conjecture.