University of Connecticut

Events Calendar

Analysis and Probability Seminar
The Ribe Program and Markov Convexity of Filiform Groups
Chris Gartland (University of Illinois)

Friday, January 24, 2020
1:30pm – 2:30pm

Storrs Campus
MONT 313

Abstract: The Ribe program is the research program concerned with generalizing local properties of Banach spaces to biLipschitz invariant properties of metric spaces. Among such generalizations that have been found is the notion of Markov p-convexity, proven by Mendel-Naor to generalize uniform p-convexity. One of the first important spaces for which this invariant has been calculated is the Heisenberg group, proven by Li to be Markov p-convex for every p at least 4 and not Markov p-convex for any p less than 4. In this talk, we'll start with background on the Ribe program and applications to metric space embedding theory, and then introduce the filiform groups - a class of Carnot groups containing the Heisenberg group - and explain how to use embeddings of graphs to compute their Markov convexities.


Analysis and Probability Seminar (primary), UConn Master Calendar

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