MS Seminar (Mathematics - String Theory)

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.