Modularity and the Hodge/Tate conjectures for some self-products
Laure Flapan, MIT
Location: Hill 705
Date & time: Friday, 13 December 2019 at 2:00PM - 3:00PM
Abstract: If X is a smooth projective variety over a number field, the Hodge and Tate conjectures describe how to see the subvarieties of X in the cohomology of X. We explore the role that certain automorphic representations, called algebraic Hecke characters, can play in understanding which cohomology classes of X arise from subvarieties. We use this to deduce the Hodge and Tate conjectures for certain self-products of varieties, including some self-products of K3 surfaces.
This is joint work with J. Lang.
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