Caltech/USC Joint Algebra & Geometry Seminar (1/2)

The quantum connection is defined from genus zero Gromov-Witten invariants, and it carries rich information with a wide range of applications. In this talk, I will talk about a conjecture that predicts that by work over the p-adic numbers, the small quantum connection of a Fano variety should carry a Frobenius structure with distinguished convergence property, and Morita's p-adic Gamma function plays a central role in the formulation. Time permitting, I will also discuss the analogue in the Calabi-Yau setting, which is related to mirror counterparts of crystalline cohomology. This is based on joint works with Pomerleano and Seidel, and with Lee.