summer 2018
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Research interests:arithmetic geometry, number theory, algebraic topology, algebraic K-theory |
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Jacklyn Lang, Université Paris XIII
29.01.2020 12:00, B1-37
Title: The Hodge and Tate Conjectures for self-products of some K3 surfaces
Abstract:
There are 16 K3 surfaces (defined over Q) that Livné-Schütt-Yui have shown are modular, in the sense that the transcendental part of their cohomology is given by an algebraic Hecke character. Using this modularity result, we show that for two of these K3 surfaces X, the variety X^n satisfies the Hodge and Tate Conjectures for any positive integer n. In the talk, we will discuss the details of the Tate Conjecture for X^2. This is joint work in progress with Laure Flapan.