Algebraic Geometry Seminar: Local systems underlying variation of Hodge structure, by Philip Engel
September 9, 2024
3:00 PM - 3:50 PM
Philip Engel (UIC): Local systems underlying variation of Hodge structure
Deligne proved in 1987 that only finitely many Z-local systems of a fixed
rank underlie a polarized variation of Hodge structure, over a fixed
quasiprojective variety. He conjectured that this finiteness also holds
in families of quasiprojective varieties. In the 1990s, Simpsons refined
this conjecture in the following form: the nonabelian Hodge locus is
algebraic. I will discuss joint work with Salim Tayou proving these
conjectures when the algebraic monodromy group is cocompact.
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Date posted
Sep 7, 2024
Date updated
Sep 7, 2024
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