## Student Arithmetic Geometry Seminar: Algebraic and rational solutions to differential equations

Seminar | April 28 | 2:10-3 p.m. | 736 Evans Hall

Joseph Stahl, UCB

Department of Mathematics

In this talk we will examine a modification of the Grothendieck-Katz $p$-curvature conjecture considered by Yunqing Tang in her paper "Algebraic Solutions of Differential Equations over $\Bbb P^1\setminus \{0,1,\infty \}$," in which a condition has been placed on a connection $(M,\nabla )$ at all primes rather than at almost all primes. We will recall the classical $p$-curvature conjecture, introduce its strengthened variant, and discuss the proof of Tang's results.

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