### Algebra and Combinatorics Seminar: Mrunmay Jagadale, CalTech, Towards the decorated TQFT for Z-hat

SAS 2235The Z-hat invariant, proposed by Gukov, Pei, Putrov, and Vafa, is a fascinating q-series invariant of three-manifolds related to various areas of mathematics and physics. We want to find a topological quantum field theory (TQFT) that computes this invariant to understand it better. This invariant cannot come from TQFT in the sense of Atiyah, as…