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Berkeley-Caltech-Stanford Joint Number Theory Seminar

Monday, February 7, 2022
12:30pm to 1:30pm
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Eichler-Shimura relations
Si Ying Lee, Department of Mathematics, Harvard University,

The well-known classical Eichler-Shimura relation for modular curves asserts that the Hecke operator $T_p$ is equal, as an algebraic correspondence over the special fiber, to the sum of Frobenius and Verschiebung. Blasius and Rogawski proposed a generalization of this result for Shimura varieties with good reduction at $p$, and conjectured that the Frobenius satisfies a certain Hecke polynomial. I will talk about a recent proof of this conjecture for a large class of Shimura varieties of abelian type which satisfy a Hodge-Newton decomposability condition.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].