论文标题

量和随机矩阵

Volumes and Random Matrices

论文作者

Witten, Edward

论文摘要

本文是对黎曼表面的模量空间或超级黎曼表面的新发现的关系的介绍,在二维中的重力或超级重力模型与随机矩阵集合之间的关系。 (本文是基于2020年1月奥克兰大学的仪表理论与弦理论数学数学和弦理论数学会议的讲座。它已提交了《纪念迈克尔·阿蒂亚》的《数学季刊》的特刊。)

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.)

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