Monday, January 08, 2018
4:00 PM -
5:00 PM
Building 15, Room 104
Algebra and Geometry Seminar
The p-curvature conjecture and monodromy around simple closed loops
Ananth Shankar,
Department of Mathematics,
MIT,
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.
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For more information, please contact Mathematics Dept. by phone at 626-395-4335 or by email at [email protected].