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Homology of configuration spaces of disks in a strip

March 2, 2021
4:00 pm - 5:00 pm
Zoom info to follow

Speaker:  Fedor Manin (UCSB)

Title:  Homology of configuration spaces of disks in a strip

Speaker's URL:  https://web.math.ucsb.edu/~manin/

Abstract:  We study the configuration space of n disks of diameter 1 in an infinitely long strip of width w. Hard disk configuration spaces are relevant in statistical physics; this family was introduced by Alpert, Kahle and Macpherson as an example with relatively approachable topology. I will present a basis for the integral homology of these spaces for every n and w, and make observations about how it changes when n varies (from the point of view of representation stability) and when w varies (from the point of view of persistent homology). This is ongoing joint work with Hannah Alpert.

URL associated with Seminar
https://tgda.osu.edu/activities/tdga-seminar/

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Seminar - Topology, Geometry and Data