Number Theory

Title: Vanishing of Brauer classes on K3 surfaces under reduction.
Speaker: Salim Tayou
Speaker Info: Harvard University
Brief Description:
Special Note:

Given a Brauer class on a K3 surface over a number field, we prove that there exists infinitely many primes where the reduction of the Brauer class vanishes, under some mild assumptions. This answers a question of Frei--Hassett--Várilly-Alvarado. The proof uses Arakelov intersection theory on GSpin Shimura varieties. If time permits, I will explain some applications to rationality questions. The results in this talk are joint work with Davesh Maulik.

Date: Friday, October 20, 2023
Time: 2:00PM
Where: Lunt 103
Contact Person: Bao Le Hung
Contact email: lhvietbao@gmail.com
Contact Phone:
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