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Degeneration loci of l-adic local systems

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KA2W02 - Arithmetic geometry, cycles, Hodge theory, regulators, periods and heights

I will make a partial survey of what is expected and known about the degeneration loci of l-adic local systems over varieties over number fields. For l-adic local systems arising from geometry, understanding these degeneration loci is closely related to describing the variation of certain algebraic-geometric invariants (those encapsulated in l-adic cohomology) in algebraic families of smooth proper varieties.  

This talk is part of the Isaac Newton Institute Seminar Series series.

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