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# Events for 09/18/2020 from all calendars

## Mathematical Physics and Harmonic Analysis Seminar

## Algebra and Combinatorics Seminar

## Open Teaching with Technology Forum

**Time: ** 1:50PM - 2:50PM

**Location: ** Zoom

**Speaker: **Seonghyeon Jeong, MSU

**Title: ***Strong MTW type condition to local Holder regularity in generated Jacobian equations*

**Abstract: **In this talk, we present a proof of local Holder regularity of solutions to generated Jacobian equations as a generalization of optimal transport case, which is proved by George Loeper. We compare structures of generated Jacobian equations with optimal transport, and point out differences with difficulties which the differences can cause. For local Holder regularity theory, we use (G3s) condition and solution in Alexandrov sense. (G3s) is a strict positiveness type condition on MTW tensor associated to the generating function G, and Alexandrov solution is a solution that satisfies pullback measure condition. (G3s) is used to show a quantitative version of (glp), which gives some room for G-subdifferentials of solutions. Then the inequality for Holder regularity is shown by comparing volumes of G-subdifferentials using the fact that our solutions is in Alexandrov sense.

**Time: ** 3:00PM - 4:00PM

**Location: ** Zoom

**Speaker: **Jacob White, UT Rio Grande Valley

**Title: ***Combinatorial Hopf monoids and flag f-vectors*

**Abstract: **A combinatorial Hopf monoid in species provides an algebraic framework for understanding many polynomial and quasisymmetric function invariants in combinatorics. In this talk, we will discuss the problem of determining when the quasisymmetric functions associated to a combinatorial Hopf monoid are related to the flag f-vector of a family of relative simplicial complexes. We also discuss inequalities we obtain for the quasisymmetric functions in this situation, and describe some new examples of quasisymmetric functions, and combinatorial Hopf monoids. If there is time, we will also discuss F-positivity.

**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