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Texas A&M University

Events for 10/23/2020 from all calendars

Mathematical Physics and Harmonic Analysis Seminar

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Time: 1:50PM - 2:50PM

Location: Zoom

Speaker: Jun Kitagawa, Michigan State University

Title: On free discontinuities in optimal transport

Abstract: It is well known that regularity results for the optimal transport (Monge-Kantorovich) problem require rigid geometric restrictions. In this talk, we consider the structure of the set of ``free discontinuities'' which arise when transporting mass from a connected domain to a disconnected one, and show regularity of this set, along with a stability result under suitable perturbations of the target measure. These are based on a non-smooth implicit function theorem for convex functions, which is of independent interest. This talk is based on joint work with Robert McCann (Univ. of Toronto).

Algebra and Combinatorics Seminar

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Time: 3:00PM - 4:00PM

Location: Zoom

Speaker: Kassie Archer, UT Tyler

Title: Cycle structure of pattern-avoiding permutations

Abstract: Given a permutation written in its one-line notation, we say that the permutation avoids a pattern if there is no subsequence in the same relative order as that pattern. Though much is known about pattern-avoiding permutations in general, relatively little is known about the cycle structure of these permutations. In the first half of the talk, I will discuss some things that are known about this topic, in what context some of these results appear, and some open questions. In the second half, I’ll discuss a recent example regarding 132-avoiding permutations comprised of only 3-cycles which has an interesting answer.

Open Teaching with Technology Forum

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Time: 3:30PM - 5:00PM

Location: Zoom

Speaker: Vanessa Coffelt

Description: Join Zoom Meeting: Meeting ID: 931 4271 8312