Event

Lassina Dembélé, Princeton

Thursday, February 14, 2019 10:00to12:00
Burnside Hall Room 920, 805 rue Sherbrooke Ouest, Montreal, QC, H3A 0B9, CA

Title: Abelian varieties with everywhere good reduction over certain real quadratic fields of small discriminant.

abstract: Let $F = Q(sqrt{D})$, where $D = 53, 61$ or $73$. There is a simple abelian surface $A/F$ with everywhere good reduction. Under GRH, we show that every abelian variety with everywhere good reduction is isogenous to a power of $A$. This result extends previous work of Fontaine and Schoof.

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