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Higher Rank Voronoi Decompositions and Metric Degenerations of Tori

Offered By: Erwin Schrödinger International Institute for Mathematics and Physics (ESI) via YouTube

Tags

Algebraic Geometry Courses Topology Courses Inner Product Spaces Courses Riemann Surfaces Courses Torus Courses Moduli Space Courses

Course Description

Overview

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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.

Syllabus

Omid Amini - Higher rank Voronoi decompositions and metric degenerations of tori


Taught by

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

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