AIM workshop: Modularity and quantum topology

nt.number-theory
Start Date
2026-10-12
End Date
2026-10-16
Institution
American Institute of Mathematics
City
Pasadena, CA
Country
United States
Meeting Type
workshop
Homepage
https://aimath.org/workshops/upcoming/modularquant/
Contact Name
Michelle Manes
Created
12/2/25, 8:00 PM
Modified
12/2/25, 8:00 PM

Description

This workshop, sponsored by AIM and the NSF, will be devoted to emerging interactions between modular forms and quantum topology along with their connections to related areas such as representation theory, combinatorics, and mathematical physics. The workshop's primary motivation stems from foundational work of Lawrence and Zagier, Witten, Habiro, and others, as well as recent advances at the intersection of modular forms and knot theory, e.g., the Volume and Modularity Conjectures. Further motivating developments include Nahm’s conjecture on the modularity of certain q -hypergeometric series, quantum and holomorphic quantum modular forms, properties of the Habiro ring, and resurgence. An important goal of the workshop is to bring together researchers at various career stages to collaboratively work on related problems from complementary mathematical perspectives.

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