Department of Mathematics


  •  Laure Flapan, Massachusetts Institute of Technology
  •  Modularity and the Hodge/Tate conjectures for some self-products
  •  01/21/2020
  •  4:10 PM - 5:00 PM
  •  C304 Wells Hall

If X is a smooth projective variety over a number field, the Hodge and Tate conjectures describe how information about the subvarieties of X is encoded 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.



Department of Mathematics
Michigan State University
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