Tuesday August 29th, 2023
to Friday September 1st, 2023 (All day)
Onsite (see classroom below) + Zoom
Title: Metric geometry on the configuration space
Speaker: Professor Kohei Suzuki, Durham University
Abstract: The configuration space Y(X) over a base space X is the space of all Radon point measures on X. The space Y(X) has been studied in many fields such as algebraic geometry (e.g., the hyperplane arrangement with X=Grassmannian), algebraic topology (e.g., the braid group with X=Euclidean plane), representation theory (e.g., the L^2-representation of diffeomorphism groups on manifolds X), statistical physics (e.g., interacting particle diffusions with X=Euclidean space). In this series of lectures, I will focus on the metric geometry of Y(X) induced by the 2-Wasserstein distance. As Y(X) does not support the volume doubling property, the established theory of PI spaces does not apply. The goal of the series is to elaborate on
Metric geometry on Y(X);
Curvature analysis on Y(X);
Applications to infinite particle diffusion processes (including e.g. infinite particle Dyson Brownian motion);
Open questions.
Lecture 1 | L4E01 August 29, 2023 10:00 - 11:00
Lecture 2 | L4E01 August 30, 2023 10:00 - 11:00
Lecture 3 | L4F01 August 31, 2023 10:00 - 11:00
Lecture 4 | B700 September 1, 2023 10:00 - 11:00
Register here
*After registering, you will receive a confirmation email containing information about joining the meeting.
This lecture be accessible to senior math undergraduate and anyone above the level.