27. Jan 2022

Equidistribution of exponential sums over algebraic groups

ALGEBRAIC GEOMETRY & NUMBER THEORY SEMINAR

Datum: 27. Januar 2022 | 13:00 – 14:00
Sprecher: Javier Fresán, École polytechnique, Palaiseau
Veranstaltungsort: https://mathseminars.org/seminar/AGNTISTA
Sprache: Englisch

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.

Weitere Informationen:

Datum:
27. Januar 2022
13:00 – 14:00

Sprecher:
Javier Fresán, École polytechnique, Palaiseau

Veranstaltungsort:
https://mathseminars.org/seminar/AGNTISTA

Sprache:
Englisch

Ansprechpartner:

Birgit Oosthuizen-Noczil

Email:
birgit.oosthuizen-noczil@ist.ac.at

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