The Center and the Hochschild cohomology of the small quantum group

Géométrie Algébrique

Lieu: 
Salle Kampé de Fériet M2
Orateur: 
Anna Lachowska
Affiliation: 
EPFL Lausanne (Suisse)
Dates: 
Mardi, 11 Février, 2020 - 13:30 - 14:30
Résumé: 

Understanding the structure of the center and the Hochschild cohomology of the small quantum group u_q(g) at a root of unity is a long standing hard problem. It has potential implications for the modular representation theory of the algebraic groups in positive characteristic, affine Lie algebras at an integer level, associated fusion categories and CFTs. I will review the recent progress in this problem and discuss the remarkable combinatorial properties of the obtained results. This is a joint work with You Qi (University of Virginia).