Abelianization in quantum topology

CMSA/Tsinghua Math-Science Literature Lecture--Math Science Lectures in Honor of Raoul Bott

Organizers：

CMSA, Harvard University

Speaker：

Andrew Neitzke

Yale University

Time：

Thur., 4:00-5:30 am, Oct. 18, 2024 (Beijing time)

Online：

Zoom Webinar Registration

https://harvard.zoom.us/webinar/register/WN_FdXunKh_TmmLF0GxpPwAYg#/registration

Title：

Abelianization in quantum topology

Abstract:

I will describe new applications of abelianization to various related subjects: perturbative Chern-Simons invariants, skein algebras, and conformal blocks. The aim is to explain how abelianization gives a unifying perspective on constructions familiar in each of these subjects (e.g. dilogarithmic formulas for Chern-Simons invariants, vertex models for computing quantum invariants of links, and iterated-fusion constructions of conformal blocks for the Virasoro algebra), and also suggests various extensions, which are just beginning to be explored.