|DATE||September 29 (Wed), 2021|
|SPEAKER||Lee , Ji Oon|
|TITLE||Local law and Tracy-Widom limit for sparse random matrices 1|
For many random matrix models, one of the fundamental inputs in the proof of universality results is the local law, which is an estimate of the local eigenvalue density. In this series of seminars, I will introduce the method based on recursive moment estimates and cumulant expansions. I will also explain how the local law and the Tracy-Widom limit for the largest eigenvalue can be proved, where the main example is a sparse random matrix.