Equidistribution of exponential sums over algebraic groups

Javier Fresán (École polytechnique, Palaiseau)

27-Jan-2022, 12:00-13:00 (2 years ago)

Abstract: I will discuss a joint work with Arthur Forey and Emmanuel Kowalski in which we obtain an equidistribution theorem for discrete Fourier transforms of trace functions of perverse sheaves on a commutative algebraic group over a finite field. The proof relies on a generic vanishing theorem for twists of perverse sheaves, which allows for the construction of a tannakian category with convolution as tensor operation. If time permits, I will also explain how to compute the groups governing the equidistribution in a few interesting examples.

algebraic geometrynumber theory

Audience: researchers in the topic


Algebraic Geometry and Number Theory seminar - ISTA

Organizers: Tamas Hausel*, Tim Browning*
*contact for this listing

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