Higher Rank Voronoi Decompositions and Metric Degenerations of Tori

Explore a 47-minute lecture on higher rank Voronoi decompositions and metric degenerations of tori, presented by Omid Amini at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI). Delve into recent joint work with Nicolussi, introducing inner product spaces of higher rank and their Voronoi decompositions. Discover how this framework is applied to describe metric degeneration of tori and its relevance in studying the asymptotic geometry of Riemann surfaces and their moduli spaces. This talk was part of the Workshop on "Non-commutative Geometry meets Topological Recursion" held at ESI in April 2023, with assistance from Carlos I. Pérez Sánchez in video creation.