Seminar: Matthew Young - Z-hat invariants for Lie superalgebras (Oct 2, 2025)

Speaker: Matthew Young (Utah State University)
Title: Z-hat invariants for Lie superalgebras
Time: October 02, 2025 at 15:00
Abstract: Z-hat invariants of 3-manifolds were introduced in the physics literature by Gukov, Pei, Putrov and Vafa in the context of supersymmetric gauge theory with the goal of categorifying the Reshetikhin--Turaev invariants of 3-manifold. Z-hat invariants depend on the input data of a Lie superalgebra and some discrete geometric data on the 3-manifold, such as a Spin-c structure. The goal of this talk is to explain a connection between Z-hat invariants and 3-manifold invariants associated to non-semisimple categories of representations of quantum supergroups. Based on work with Francesco Costantino, Matthew Harper and Adam Robertson.