报告题目：Spectrum of SYK model
报告摘要：The SYK model is a random matrix model arising from condensed matter theory in statistics physics and black hole theory in high energy physics. In this talk, we will first review some elementary results in random matrix theory, then we will introduce the SYK model. I will explain the spectral properties of the random matrix of SYK model, such as the global density where a phase transition is observed, the central limit theorem of the linear statistics and the concentration of measure theory. In particular, we will derive the large deviation principle when the number of interaction of fermions is 2. This is my joint work with G. Tian and D. Wei.