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Rational points on K3 surfaces and cubic fourfolds

4:00 pm Thursday, September 3, 2015
Tony Varilly-Alvarado (Rice)

I will discuss recent questions on the arithmetic of K3 surfaces coming out of work with McKinnie, Sawon, and Tanimoto. These questions are K3 analogues of famous results due to Barry Mazur on the possible torsion subgroups of elliptic curves over Q. Much of the talk will be devoted to explaining this analogy, to put in context recent joint work with Tanimoto on moduli of special cubic fourfolds.

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