## Algebraic Geometry Seminar

Daniel Litt

Columbia University

Schlesinger equations in positive characteristic

**Abstract:**Let X be a complex manifold and E a vector bundle with flat connection on X. Then given a deformation of X, one obtains a canonical "isomonodromic" deformation of E, which, as the name suggests, preserves the monodromy of E. In the case X is the projective line minus a collection of points, these deformations are controlled by the Schlesinger equations. We define and study the analogous situation in positive characteristic.

Wednesday October 25, 2017 at 4:00 PM in SEO 427