# Events for 10/23/2020 from all calendars

## Mathematical Physics and Harmonic Analysis Seminar

**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

**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

**Time: ** 3:30PM - 5:00PM

**Location: ** Zoom

**Speaker: **Vanessa Coffelt

**Description: **Join Zoom Meeting: https://tamu.zoom.us/j/93142718312?pwd=c2x5Zm5RZWdheEJ4SU40N3VYMlFpdz09 Meeting ID: 931 4271 8312