University of Sydney Algebra Seminar

Huang Lin

Friday 7 November, 12-1pm, in Carslaw 175

Center Conjecture of Cyclotomic KLR Algebras

Quiver Hecke algebras (KLR algebras), introduced by Khovanov, Lauda, and Rouquier, play an important role in the categorification theory of integrable representations of Kac–Moody algebras and quantum groups. The centers of their cyclotomic quotients carry interesting information about their representation theory and are also related to the cohomology of the corresponding quiver varieties. In this talk, I will introduce some approaches to studying these centers.