Friday, August 10 2018
15:30 - 16:30

Chandrasekhar Hall

Exceptional splitting of reductions of abelian surfaces

Ananth Shankar


Heuristics based on the Sato--Tate conjecture suggest that
an abelian surface defined over a number field has infinitely many
places of split reduction. We prove this in the case when the abelian
surface has real multiplication. This is joint work with Yunqing Tang.

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