Abstract

Khovanov homology and its relatives are known to be governed by the representation theory ofKLRW algebras (quiver Hecke algebra). Here we discuss a way to realize the KLRW algebra as theendomorphism algebra of certain Lagrangian in the (partially) wrapped Fukaya category on a 3dN=4 Coulomb branch. This is joint work with Mina Aganagic, lvan Danilenko, Yixuan Li and VivekShende.