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Configuration spaces of hard squares

Matt Kahle
January 31, 2023
4:00 pm - 5:00 pm
CH 240

Title:  Configuration spaces of hard squares

Speaker:  Matthew Kahle (OSU)

Speaker's URL:  https://www.matthewkahle.org/about

Abstract:  The topology of configuration spaces of points in the plane is well understood. But if you give the points positive thickness and put them in a confined region, much less is known. In this talk, I will report on recent progress on under- standing configuration spaces of hard squares in a rectangle. Our main result is quantifying the factorial rate of growth of the Betti numbers. This is joint work with Hannah Alpert and Robert MacPherson.

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

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Seminar - Topology, Geometry and Data