Mathematics on the Crossroad of Centuries - A Conference in Honor of Maxim Kontsevich's 60th Birthday

Collection Mathematics on the Crossroad of Centuries - A Conference in Honor of Maxim Kontsevich's 60th Birthday

Organizer(s) Denis Auroux, Ludmil Katzarkov, Tony Pantev, Yan Soibelman

Date(s) 16/09/2024 - 20/09/2024

linked URL https://indico.math.cnrs.fr/event/11957/

00:00:00 / 00:00:00

20 21

Billiards, Arithmetic and Hodge Theory

By Curtis McMullen

What are the slopes of periodic billiard paths in a regular polygon? We will connect this question and others to: - cusps of thin groups, - curves on Hilbert modular varieties, - heights from Jacobians with real multiplication, and - a spectral gap for the Galois orbits of triangles. Along the way we will encounter issues of chaos and decidability, first appearing in polygons with 7 and 12 sides.

Information about the video

Date of recording 20/09/2024
Date of publication 24/09/2024
Institution IHES
Licence CC BY-NC-ND
Language English
Audience Researchers, Graduate Students
Format MP4

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