University of Connecticut

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Analysis and Probability Seminar
Discrete Curvature: a brief overview
Prasad Tetali (Georgia Tech)

Friday, February 22, 2019
1:30pm – 2:30pm

Storrs Campus
MONT 313

Abstract: Inspired by the recent developments in differential geometry and calculus of variations, there have been several approaches to identifying a suitable notion of local (Ricci) curvature on non-smooth spaces, such as graphs and Markov chains. I will describe some of these approaches and review a few recent developments in this topic on discrete curvature. Some of the consequences include a tight Cheeger inequality in abelian Cayley graphs, and diameter bounds on the spectral gap of the graph Laplacian. Several open questions remain.

Contact:

Scott Zimmerman, scott.zimmerman@uconn.edu

Analysis and Probability Seminar (primary), UConn Master Calendar

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