– Europe/Lisbon
Online
Benjamin Haïoun, University of Toulouse
Non-semisimple WRT as non-compact fully extended relative TQFTs
I will argue that the Witten–Reshetikhin–Turaev-type TQFTs obtained from non-semisimple modular categories can be obtained from the Cobordism Hypothesis. This is in apparent contradiction with known results, but I will explain how one can work around these problems using relative TQFTs, following ideas of Walker, Freed–Teleman and Jordan–Safronov. I will present my recent dualizability results showing that the Cobordism Hypothesis does give a TQFT from the desired data, and conjecture that these recover the known non-semisimple TQFTs. Based on arXiv:2304.12167.