Spectral Theory Reading Seminar

Time: 11:00AM - 11:50AM

Location: Zoom

Speaker: Matthew Powell, UC Irvine

Title: Subordinacy Theory

Mathematical Physics and Harmonic Analysis Seminar

Time: 1:50PM - 2:50PM

Location: Zoom

Speaker: Farhan Abedin, MSU

Title: Hele-Shaw Flow and Parabolic Integro-Differential Equations

Abstract: I will present a regularization result for a special case of the two-phase Hele-Shaw free boundary problem (a.k.a. interfacial Darcy flow), which models the evolution of two immiscible fluids flowing in the narrow gap between two parallel plates and subject to an external pressure source. Assuming that the fluid interface is given by the graph of a function, recent work of Chang-Lara, Guillen, and Schwab establishes the equivalence between the Hele-Shaw free boundary problem and a first-order parabolic integro-differential equation. By exploiting this equivalence and using available regularity theory for nonlocal parabolic equations, we show that if the gradient of the graph of the fluid interface has a Dini modulus of continuity for all times, then the gradient must be Holder continuous. This is joint work with Russell Schwab (MSU).

Algebra and Combinatorics Seminar

Time: 3:00PM - 4:00PM

Location: Zoom

Speaker: Tekin Karadag, Texas A&M

Title: Gerstenhaber bracket on Hopf algebra cohomology of a Taft algebra

Abstract: We calculate the Gerstenhaber bracket on Hopf algebra and Hochschild cohomologies of the Taft algebra T_p for any integer p>2 which is a nonquasi-triangular Hopf algebra. We show that the bracket is indeed zero on Hopf algebra cohomology of T_p, as in all known quasi-triangular Hopf algebras. This example is the first known bracket computation for a nonquasi-triangular algebra.

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