Categorifying some Milnor lattices

It's an active trend to exhibit classical invariants like lattices or representations as traces of categorical invariants. In this talk, lifts of the Milnor lattice of certain surface singularities to categories will be discussed. As it turns out, there are different possibilities, but we will also point out a way to compare them. The original content mentioned here is from joint work with Wolfgang Ebeling and Chris Brav.