Matt Kerr: Apery extensions

The lecture was held within the framework of the Hausdorff Trimester Program: Periods in Number Theory, Algebraic Geometry and Physics.

Abstract:
In an important series of papers, Galkin, Golyshev, and Iritani have introduced the concept of Apery constants of Fano varieties, arising from asymptotics of solutions to their (A-model, irregular) quantum differential equations. In this talk, we propose and give examples of a (B-model, regular) interpretation of these constants in terms of limits of normal functions arising from motivic cohomology classes on the mirror family of Calabi-Yau varieties.