Department of Mathematics and Statistics

Department of Mathematics and Statistics
Department of Mathematics and Statistics

Free Probability & Random Matrices Seminar


Tuesday, January 16th, 2018

Time: 4:00-5:30 p.m.  Place: Jeffery Hall 319

Speaker: Neha Prabu

Title: Semicircle distribution in number theory

Abstract:  In free probability theory, the role of the semicircle distribution is analogous to that of the normal distribution in classical probability theory. However, the semicircle distribution also shows up in number theory: it governs the distribution of eigenvalues of Hecke operators acting on spaces of modular cusp forms. In this talk, I will give a brief introduction to this theory of Hecke operators and sketch the proof of a result which is a central limit type theorem from classical probability theory, that involves the semicircle measure.

Free Probability and Random Matrices Seminar Webpage: