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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 208 - Algebraic Geometry Semianr
Laure Flapan
MIT
Algebraic Hecke characters and Hodge/Tate classes on self-products
Abstract:
We examine the relationship between having an algebraic Hecke character attached to the cohomology of a smooth projective variety $X$ equipped with a finite-order automorphism and the algebraicity of some Hodge/Tate classes on the product $X^n$. As a consequence, we deduce the Hodge and Tate conjectures for some self-products of varieties, including some self-products of $K3$ surfaces.
Host: James McKernan
October 18, 2019
1:45 PM
AP&M 7321
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