Richard Smith

will speak on

Choquet Theory of Lipschitz-free spaces

Time: 2:00PM
Date: Tue 4th February 2025
Location: E0.32 (beside Pi restaurant) [map]

Further information

Abstract: This is a continuation of my talk `A solution to the extreme point problem in Lipschitz-free spaces' that I gave last November. In that talk I presented some elements of what I call a `Choquet Theory of Lipschitz-free spaces', which was a critical component of the solution to the extreme point problem. After a brief review of November's talk, I will present this Choquet theory in greater depth. It draws on the classical Choquet theory; the main difference being that in the classical case the `maximal' measures are of interest, whereas in this theory the focus is on the `minimal' measures. This is because the minimal measures are compatible with existing concepts from Lipschitz-free spaces and optimal transport theory, such as the supports of free space elements and optimal couplings of probability measures.

(This talk is part of the Analysis series.)

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