## Arithmetic Geometry and Number Theory RTG Seminar: Exceptional splitting of abelian surfaces over global function fields

Seminar | December 3 | 3-5 p.m. | 748 Evans Hall

Ananth Shankar, MIT

Department of Mathematics

Let $A$ denote a non-constant ordinary abelian surface over a global function field (of characteristic p > 2) with good reduction everywhere. Suppose that $A$ does not have real multiplication by any real quadratic field with discriminant a multiple of $p$. Then we prove that there are infinitely many places modulo which $A$ is isogenous to the product of two elliptic curves. This is joint work with Davesh Maulik and Yunqing Tang.

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