Number Theory Seminar

Ananth Shankar, MIT

"Exceptional splitting of abelian surfaces over global function fields"

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.

MC 5417