Random matrices, integrability, and number theory - Lecture 3

Video in TIB AV-Portal: Random matrices, integrability, and number theory - Lecture 3

Formal Metadata

Title
Random matrices, integrability, and number theory - Lecture 3
Title of Series
Author
Contributors
License
CC Attribution - NonCommercial - NoDerivatives 2.0 Generic:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
Identifiers
Publisher
Release Date
2019
Language
English

Content Metadata

Subject Area
Abstract
I will give an overview of connections between Random Matrix Theory and Number Theory, in particular connections with the theory of the Riemann zeta-function and zeta functions defined in function fields. I will then discuss recent developments in which integrability plays an important role. These include the statistics of extreme values and connections with the theory of log-correlated Gaussian fields.
Feedback