Type: Seminar

Distribution: World

Expiry: 28 Oct 2023

CalTitle1: Algebra Seminar: A descent theorem for K3 surfaces (McAndrew)

Auth: bregje@wc5w7lr3.staff.wireless.sydney.edu.au (bpau3522) in SMS-SAML

Angus McAndrew is speaking in the Algebra Seminar this week. We will go out for lunch after the talk. When: Friday 5 May, 12-1pm Where: Carslaw 173 Title: A descent theorem for K3 surfaces Abstract: Descent problems have fascinated mathematicians since ancient times. A modern descent question asks for the field of definition of a given algebraic variety, i.e. whether there is a criterion for when it can be descended from a field to a smaller one. A theorem of Grothendieck gives an answer to this question in the case of abelian varieties and transcendental field extensions. We will discuss a general conjecture inspired by this, and prove it in the case of K3 surfaces, under some hypotheses. The proof uses Madapusi-Pera’s work on the Kuga-Satake construction.

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