Convolution and Square on Abelian Groups | Vidéo | Carmin.tv

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Convolution and Square on Abelian Groups

By Yves Benoist

Appears in collection : Arithmetic and Diophantine Geometry, via Ergodic Theory and o-minimality

We will construct functions on finite abelian groups whose convolution square is proportional to their square. For that, we will interpret the abelian group as a subgroup of an abelian variety with complex multiplication, and use the modularity properties of their theta functions.

Information about the video

Date of recording 10/09/2025
Date of publication 16/09/2025
Institution IHES
Language English
Audience Researchers
Format MP4

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