Events for 11/01/2024 from all calendars

Mathematical Physics and Harmonic Analysis Seminar

Time: 1:50PM - 2:50PM

Location: BLOC 302

Speaker: Christoph Fischbacher, Baylor University

Title: Slow propagation velocities of discrete Schrödinger operators in large periodic potential

Abstract: I will present some recent joint work with Abdul-Rahman, Darras, and Stolz (https://arxiv.org/abs/2401.11508). While periodic Schrödinger operators have purely ac spectrum and exhibit ballistic transport, I will show that if the potential is large enough, it is possible to make the velocity of this transport arbitrarily small. I will discuss the special case of period 2, where things can be computed explicitly and then talk about the case of general period p.

Algebra and Combinatorics Seminar

Time: 3:00PM - 3:50PM

Location: BLOC 302

Speaker: Oeyvind Solberg, Norwegian University of Science and Technology (NTNU)

Title: Decomposing modules of topological data analysis

Abstract: The relative new and evolving Topological Data Analysis = TDA is using algebraic topology to analyze the geometric structure of data, ranging from tissue in the brain to pieces of text. One end product for TDA is a module over a ring. How this module breaks into indecomposable ones describes/characterizes the stability of the topological structures associated to the underlying data. In this talk I discuss one approach to this via the structure theorem for finitely generated modules over a principal ideal domain.

Free Probability and Operators

Time: 4:00PM - 5:00PM

Location: BLOC 306

Speaker: Carl Pearcy, Texas A&M University

Title: A structure theorem for a class of essentially quasinilpotent operators on Hilbert space

Abstract: It is widely thought that quasinilpotent operators are the most difficult to understand. In this talk I will obtain a structure theorem for a class of such operators that may allow some progress in their understanding.