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Vadim Vologodsy, University of Chicago and HSE


Title: Differential equations in number theory


Abstract: Given a linear differential equation with polynomial coefficients, one can ask if it has non-trivial solutions in algebraic functions.  A powerful approach to the study of this question is the use of the reduction to positive characteristic method and the notion of p-curvature introduced by Grothendieck and Katz (1970). I will review this notion and give some applications to complex algebraic geometry and topology.

 

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