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Tuesday, October 5, 2021

Tuesday, October 5, 2021 — 10:00 to 10:00 AM EDT

Eric Boulter, Department of Pure Mathematics, University of Waterloo

"Fourier Transforms in Algebraic Geometry"

The Fourier transform is a powerful tool in real analysis and differential equations for understanding families of functions. In this talk, we will discuss how the philosophy of the Fourier transform can be applied in algebraic geometry to relate families of vector bundles on varieties which are so-called “Fourier-Mukai pairs”. As an example, we will look at the Fourier-Mukai pairing between an abelian variety and its Picard group.

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