Higher rank Voronoi tilings and metric degenerations of tori

Omid Amini (École Polytechnique, Palaiseau)

Apr 25. 2023, 11:45 — 12:30

I will present recent joint work with Nicolussi in which we introduce inner product spaces of higher rank, study their Voronoi decompositions, and use the framework to describe metric degeneration of tori.

The results are applied in the study of asymptotic geometry of Riemann surfaces and their moduli spaces.

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Non-commutative Geometry meets Topological Recursion (Workshop)
Gaëtan Borot (HU Berlin)
Elba Garcia Failde (Sorbonne U, Paris)
Harald Grosse (U of Vienna)
Masoud Khalkhali (Western U, Ontario)
Hannah Markwig (U Tübingen)
Raimar Wulkenhaar (U Münster)