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
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