Volumes and Random Matrices
Symplectic Geometry
2020-07-07 v2 High Energy Physics - Theory
Algebraic Geometry
Abstract
This article is an introduction to newly discovered relations between volumes of moduli spaces of Riemann surfaces or super Riemann surfaces, simple models of gravity or supergravity in two dimensions, and random matrix ensembles. (The article is based on a lecture at the conference on the Mathematics of Gauge Theory and String Theory, University of Auckland, January 2020. It has been submitted to a special issue of the Quarterly Journal of Mathematics in memory of Michael Atiyah.)
Cite
@article{arxiv.2004.05183,
title = {Volumes and Random Matrices},
author = {Edward Witten},
journal= {arXiv preprint arXiv:2004.05183},
year = {2020}
}
Comments
18 pp, minor corrections in this version