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.
Joint IAS/Princeton University Algebraic Geometry Seminar
The p-curvature conjecture in families
Massachusetts Institute of Technology
Date & Time
April 15, 2019 | 5:00 – 6:00pm
Princeton University, Fine Hall 314