Analysis Seminar, Spring 2026
Schedule
During Spring 2026, the Analysis Seminar will meet on Wednesdays 3:30-4:20pm in Keller 303.
Contact
If you would like to give a talk, please contact me at myounsi@hawaii.edu.
Talks
- March 4 : Paata Ivanisvili (UC Irvine)
Title: Reverse Hölder inequality for low-degree polynomials on the hamming cube
Abstract: In this talk I will discuss a reverse Hölder (moment comparison) inequality for low-degree functions on the Hamming cube. If f(x) has Fourier–Walsh degree at most d, then one can bound the second moment by the first moment in a dimension-free way. I will present a blackboard proof based on complex hypercontractivity and an explicit conformal mapping argument, combined with a duality step via Hahn–Banach and the Riesz representation theorem. A main goal will be to understand how the constant in the bound arises and how to optimize it toward sharp bounds. Based on joint work with Alexandros Eskenazis.
- March 11 : Robin Deeley (CU Boulder)
Title: Rationalizing shifts of finite type
Abstract: I will introduce a class of dynamical systems called shifts of finite type. There are a number of C*-algebras one can construct from a shift of finite type. I will discuss properties of these C*-algebras such as rational Poincare duality and rational isomorphism.