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Uniqueness and Non-Uniqueness for Percolation on Groups

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

Tags

Percolation Theory Courses Group Theory Courses Probability Theory Courses Statistical Mechanics Courses Geometric Group Theory Courses Hyperbolicity Courses

Course Description

Overview

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Explore the theory of uniqueness and non-uniqueness of infinite clusters for percolation on groups in this 49-minute conference talk by Tom Hutchcroft. Delivered as part of the Workshop on "Geometric and Asymptotic Group Theory with Applications 2023 - Groups and Dynamics" at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI), the presentation surveys both classical results and ongoing developments in the field. Gain insights into the connections between percolation theory and group-theoretic concepts such as amenability, hyperbolicity, property (T), and L^2 Betti numbers. Delve into this advanced mathematical topic and its applications in geometric and asymptotic group theory.

Syllabus

Tom Hutchcroft - Uniqueness and non-uniqueness for percolation on groups


Taught by

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

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