• Speaker: Lucas Hall, MSU
• Title: Skew Products: Coactions You Can See
• Date: 09/06/2022
• Time: 11:00 AM - 11:50 AM
• Place: C304 Wells Hall
• Contact: Brent Nelson (banelson@msu.edu)

The speaker introduces topological quivers and constructs their associated C*-algebra. We present two independent constructions which arise in the presence of a cocycle (the topological ”skew product" and the algebraic coaction) and show that the constructions agree in a suitable sense. Along the way, we characterize the skew product based on some associated topological dynamics. Time permitting, we will explore future directions.

• Speaker: G&T Seminar, MSU
• Title: Organizational Meeting
• Date: 09/06/2022
• Time: 3:00 PM - 4:00 PM
• Place: C304 Wells Hall (Virtual Meeting Link)
• Contact: Vijay B Higgins (higgi231@msu.edu)

Organizational meeting for the GT seminar this Fall.

• Speaker: Sasha Volberg, MSU
• Title: Heat smoothing conjecture and Bernstein--Markov inequalities on Hamming cube
• Date: 09/07/2022
• Time: 4:10 PM - 5:00 PM
• Place: C304 Wells Hall
• Contact: Willie Wai-Yeung Wong (wongwil2@msu.edu)

Hamming cube and its various Poincaré type inequalities represent a crucial model for many questions ranging from Banach space theory to graph theory to theoretical computer science. We present some estimates for tail spaces on Hamming cube. We use the analytic paraproduct operator for that. We also show some Bernstein--Markov inequalities, here the novelty is in getting rid of some irritating logarithms.

• Speaker: Lara Pudwell, Valparaiso University
• Title: Pattern-avoiding parking functions
• Date: 09/08/2022
• Time: 3:00 PM - 3:50 PM
• Place: Online (virtual meeting) (Virtual Meeting Link)
• Contact: Bruce E Sagan (bsagan@msu.edu)

We extend the classical definition of patterns in permutations to parking functions. In particular we study parking functions that avoid permutations of length 3. A number of well-known combinatorial sequences arise in our analysis, and this talk will highlight several bijective results. This project is joint work with Ayomikun Adeniran.

• Speaker: Leonid Parnovski, University College London
• Title: Floating mats and sloping beaches: spectral asymptotics of the Steklov problem on polygons
• Date: 09/08/2022
• Time: 4:10 PM - 5:00 PM
• Place: C304 Wells Hall
• Contact: Joseph Waldron (waldro51@msu.edu)

I will discuss asymptotic behaviour of the eigenvalues of the Steklov problem (aka Dirichlet-to-Neumann operator) on curvilinear polygons. The answer is completely unexpected and depends on the arithmetic properties of the angles of the polygon.