MiniCourse— A physical introduction to matrix models
报告人：Zhihao Duan (Queen Mary University of London)
时间：2024-12-24 14:00-17:00
地点：智华楼109
Abstract: Random matrix models occupy an important place in modern mathematics and physics. In this lecture series, I will introduce several developments of random matrix models in physics from the perspective of a physicist, with an emphasis on their connections to two-dimensional quantum gravity. At the same time, I will mention related mathematical results, including Witten’s conjecture and Mirzakhani’s recursion formula for the volumes of moduli spaces. This recursion formula plays a significant role in Nalini Anantharaman’s recent work on random hyperbolic surfaces.
Lecture 1: 2024.12.24 14:00-17:00
1. What are matrix models and why they are useful?
2. Integrability in matrix models and related mathematical conjectures
Lecture 2: 2024.12.26 14:00-17:00
3. Emergent geometry in matrix models
4. Some recent developments in matrix models and gravity
