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Department of Mathematics,
University of California San Diego

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Math 208: Algebraic Geometry

Dr. Joe Foster

University of Oregon

The Lefschetz standard conjectures for Kummer-type hyper-Kähler varieties

Abstract:

For a smooth complex projective variety, the Lefschetz standard conjectures of Grothendieck predict the existence of algebraic self-correspondences that provide inverses to the hard Lefschetz isomorphisms. These conjectures have broad implications for Hodge theory and the theory of motives. In this talk, we describe recent progress on the Lefschetz standard conjectures for hyper-Kähler varieties of generalized Kummer deformation type. 

February 21, 2025

4:00 PM

APM 7321

Research Areas

Algebraic Geometry

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