AbstractKhovanov 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
AbstractThe geometric P=W conjecture is a conjectural description of the asymptotic behaviour of acelebrated correspondence in non-abelian Hodge theory. in a joint work with Enrica Mazzon andMatthew Stevenson, we establish the full geometric conjecture for compact Riemann surfaces ofgenus one, and obtain partial results in arbitrary genus: this is the first non-trivial evidence of theconiecture...