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Algebra and Geometry Seminar

Monday, May 8, 2023
4:00pm to 5:00pm
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Linde Hall 387
Reduction of Brauer classes on K3 surfaces
Salim Tayou, Department of Mathematics, Harvard University,

Given a Brauer class on a K3 surface defined over a number field, I will prove that there exists infinitely many primes where the reduction of the Brauer class vanishes, under certain technical hypotheses. This answers a question of Frei--Hassett--Várilly-Alvarado. The proof relies on Arakelov intersection theory on integral models of GSpin Shimura varieties. The result of this talk is joint work with Davesh Maulik. 

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