Boston University Number Theory Seminar

Boston University Number Theory Seminar – Spring 2020

The p-curvature conjecture in families

Ananth Shankar
(MIT)

Monday, February 24 at 4:15pm
111 Cummington Mall, MCS B31


Abstract

The p-curvature conjecture is an analogue of the Hasse principle for arithmetic differential equations. I will discuss this conjecture in the context of families of algebraic varieties, and among other things, demonstrate a proof of the p-curvature conjecture for rank 2 vector bundles on generic curves. This is based on joint work with Anand Patel and Junho Peter Whang.‚Äč