Divergence in Coxeter Groups
Offered By: IMSA via YouTube
Course Description
Overview
Explore the concept of divergence in Coxeter groups through this 49-minute lecture by Ignat Soroko from Florida State University. Delve into the fascinating world of metric spaces and learn how divergence functions as a quasi-isometry invariant, measuring the separation of geodesic rays outside a ball of radius r. Discover the historical context of divergence in symmetric spaces and Gromov's conjecture about CAT(0) spaces. Uncover the rich spectrum of possible divergence functions in groups, challenging previous assumptions. Examine the groundbreaking research conducted by Soroko and colleagues on divergence in general Coxeter groups. Learn about the innovative 'hypergraph index' and its role in characterizing linear, quadratic, and exponential divergence in Coxeter groups. Gain insights into when a Coxeter group's divergence is bounded by a polynomial, expanding your understanding of this complex mathematical concept.
Syllabus
Divergence in Coxeter Groups
Taught by
IMSA
Related Courses
Theory Seminar - On Linear Data Structures and Matrix Rigidity, Sivaramakrishnan RamamoorthyPaul G. Allen School via YouTube Spectral Graph Theory - Lecture 1
International Centre for Theoretical Sciences via YouTube Growth in Linear Algebraic Groups and Permutation Groups
Hausdorff Center for Mathematics via YouTube Structures in Random Graphs - New Connections
Simons Institute via YouTube Introduction to Random Walks on Groups - Lecture 8
Fields Institute via YouTube