Speaker: Peng Zhou (UC Berkeley)

Title: Fukaya category and KLRW algebra

Abstract: KLRW algebra was introduced to categorify quantum group U_q(g) and their representations. We found a new way to realize the algebra using Fukaya category for 3d N=4 Coulomb branches. Time permitting, we will discuss the application to define tensor product of categorified representations. These works are in collaboration with Mina Aganagic, Elise LePage, Vivek Shende, Ivan Danilenko, Yixuan Li.