Friday, January 10, 2025 11am to 12pm
About this Event
3620 South Vermont Avenue, Los Angeles, CA 90089
Vadim Vologodsy, University of Chicago and HSE
Title: Differential equations in number theory
Abstract: Given a linear differential equation with polynomial coefficients, one can ask if it has non-trivial solutions in algebraic functions. A powerful approach to the study of this question is the use of the reduction to positive characteristic method and the notion of p-curvature introduced by Grothendieck and Katz (1970). I will review this notion and give some applications to complex algebraic geometry and topology.