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Department of Mathematics,
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****************************