Speaker: |
Ioana Coman-Lohi (Kavli IPMU) |
Title: |
Hidden symmetries of certain 3-manifold invariants and extensions |
Date (JST): |
Thu, Dec 15, 2022, 14:00 - 15:00 |
Place: |
Hybrid |
Abstract: |
A type of topological 3-manifold invariants which have been introduced relatively recently with nice integrality properties have also proven to have an interesting behaviour under modular transformations. As such, from a number theory perspective, they provide examples of quantum modular forms. In this seminar I will discuss a second, hidden, modular structure that they possess and how this guides the search for an extension of their definition. |