Events for 10/05/2018 from all calendars

Mathematical Physics and Harmonic Analysis Seminar

Time: 1:50PM - 2:50PM

Location: BLOC 628

Speaker: Lior Alon, Technion --- Israel Institute of Technology

Title: Nodal and Neumann count statistics for quantum graphs

Abstract: In this talk I will briefly go over the definitions and results from the work on the nodal count statistics on quantum graphs. Then I will introduce the concept of Neumann count, and properties of Neumann domains such as the spectral position of the restricted eigenfunction and analogous property to the area to length ratio (isoperimetric parameter). I will then state the results regarding the existence and symmetry of the probability distributions of the latter properties.

If time allows I will present a simple but powerful result regarding the edge lengths dependence of the nodal and Neumann distributions for edge transitive combinatorial graphs, and I will finish with our latest results, showing that the nodal distributions for two specific graphs families converge to Gaussian distributions as the the number of edges grows to infinity.

This talk is base on a joint work with R. Band (Technion) and G. Berkolaiko (Texas A&M).

Working Seminar in Groups, Dynamics, and Operator Algebras

Time: 2:00PM - 2:50PM

Location: BLOC 506A

Speaker: Xin Ma, Texas A&M University

Title: Topological full groups of one-sided shifts of finite type IV

Algebra and Combinatorics Seminar

Time: 3:00PM - 4:00PM

Location: BLOC 628

Speaker: Li Ying, Texas A&M University

Title: Generalized stability of Heisenberg coefficients

Abstract: Stembridge introduced a new concept, Kronecker stable triple, which generalized the classical Murnaghan's stability result of Kronecker coefficients. Sam and Snowden proved a conjecture of Stembridge concerning when a Kronecker triple is stable, and they also showed an analogous result for Littlewood--Richardson coefficients. Heisenberg coefficients are Schur structure constants of the Heisenberg product which generalize Littlewood--Richardson coefficients and Kronecker coefficients. In this talk, I will recall the definition and explain some known results. I will show that any stable triple for Kronecker coefficients or Littlewood--Richardson coefficients also stabilizes Heisenberg coefficients, and I follow Vallejo's idea of using matrix additivity to generate Heisenberg stable triples.

Committee P Meeting

Time: 4:00PM - 5:00PM

Location: BLOC 220

Description: All Full Professor to discuss promotion files.