Overconvergent Frobenius From Quantum Connection - Shaoyun Bai

Joint IAS/PU Arithmetic Geometry 3:30pm|Simonyi Hall 101 and Remote Access Topic: Overconvergent Frobenius From Quantum Connection Speaker: Shaoyun Bai Affiliation: Massachusetts Institute of Technology Date: November 09, 2026 The simplest kind of Gromov-Witten invariants produce the (very) small quantum connection, which is a connection in one variable with a regular singularity at origin. I will discuss a conjecture which predicts that for a smooth complex Fano variety, its small quantum connection has an overconvergent Frobenius intertwiner with initial term prescribed by Morita’s 𝑝-adic Gamma function. As a symplectic topologist, I hope to learn more from the audience on how to understand this conjecture.  This is based on joint work with Pomerleano and Seidel.