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.
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