Math Student Presentations: Divergence and Thickness in Coxeter Groups

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Columbia Mathematics Summer 2014 Undergraduate Research Project Presentations Thickness and divergence are geometric invariants which we have applied to the study of right-angled Coxeter groups. Coxeter groups are generated by reflections and can be generated from simplicial graphs. We begin with background on the concepts studied, discuss our attempts to formulate statements about thickness of a group in terms of properties of the underlying graph and conclude with a discussion of our applications to random graphs. Sarba Raj Bartaula, Lena Min Ji, Robert Lyman, Samir Mathrani, and Ha-Young Shin (advised by Jason Behrstock, Timothy Susse, and Daniel Gulotta)

Published 2014-09-02 · Watch on YouTube ↗
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