Configuration spaces of hard squares

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

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Add to Calendar 2023-01-31 16:00:00 2023-01-31 17:00:00 Configuration spaces of hard squares 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/ CH 240 Department of Mathematics math@osu.edu America/New_York public
Description

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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