EVENT DETAILS AND ABSTRACT

Title: The p-curvature conjecture and monodromy about simple closed loops
Speaker: Ananth Shankar
Speaker Info: Harvard University
Brief Description:
Special Note:
Abstract:

The Grothendieck-Katz p-curvature conjecture is an analogue of the Hasse Principle for differential equations. It states that a set of arithmetic differential equations on a variety has finite monodromy if its p-curvature vanishes modulo p, for almost all primes p. We prove that if the variety is a generic curve, then every simple closed loop has finite monodromy.