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Equidistribution of exponential sums over algebraic groups

ALGEBRAIC GEOMETRY & NUMBER THEORY SEMINAR

Date: Thursday, January 27, 2022 13:00 - 14:00
Speaker: Javier Fresán (École polytechnique, Palaiseau)
Location: https://mathseminars.org/seminar/AGNTISTA
Series: Mathematics and CS Seminar
Host: Tim Browning

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.


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