Speaker
Tudor Padurariu
Description
I will report on joint work with Yukinobu Toda about a refinements of BPS invariants using derived categories of coherent sheaves.
We propose two conjectural dualities between BPS categories for Higgs bundles, which can be interpreted as a version of SYZ mirror symmetry and of the Dolbeault Langlands equivalence. I will also discuss some results about BPS categories for quivers, with a special focus on quivers with one vertex and multiple loops, which feature prominently when studying Higgs bundles.
