Events for 03/28/2025 from all calendars

Algebra and Combinatorics Seminar

Time: 3:00PM - 3:50PM

Location: BLOC 302

Speaker: Giovanny Mora, Universidad de los Andes

Title: Braided Zestings of Verlinde Modular Categories and Their Modular Data

Abstract: In this talk, we will discuss the procedure of "zesting" in braided fusion categories, a technique that enables the construction of new modular categories from an existing modular category with non-trivial invertible objects. We will present a classification and construction of all possible braided zesting data for modular categories associated with quantum groups at roots of unity. Additionally, we will present the formulas that we have found, based on the root system associated with the quantum group, for the modular data of these new modular categories. This talk is a joint work with Eric Rowell and Cesar Galindo and is based on our paper "Braided Zestings of Verlinde Modular Categories and Their Modular Data."

Geometry Seminar

Time: 4:00PM - 5:00PM

Location: Bloc 166

Speaker: TAGS 28, 29, 30 March

Title: Texas Algebraic Geometry Symposium

Abstract: Speakers:
Brendan Hassett Brown University
Kimoi Kemboi Princeton University
Lucas Mason-Brown University of Texas
Joaquin Moraga University of California, Los Angelos
Aaron Pixton University of Michigan
Padma Srinivasan Boston University
Amy Huang Texas A&M University

For more information, see the TAGS 2025 Website.

Free Probability and Operators

Time: 4:00PM - 5:00PM

Location: BLOC 306

Speaker: Michael Anshelevich, Texas A&M University

Title: Convergence of the product of exponents

Abstract: In a general Banach algebra, or even a matrix algebra, a product of exponents need not equal the exponential of the sum. Nonetheless, the Lie-Trotter formula famously asserts that alternating products of exponentials do converge to the exponential of the sum. We show that (in many circumstances) such behavior is typical: for almost all permutations of the factors, the products of exponentials converge. In a matrix algebra, the result holds if the norms of the matrices do not grow too fast. In a general Banach algebra, it holds if n matrices fall only into o(n / log n) distinct types. The methods involve elementary estimates and concentration inequalities. The results are an outcome of undergraduate projects with Austin Pritchett and Anh Nguyen.