Terry Tao (1.2) Universality for random matrix ensembles of Wigner type, part 1.2

Terence Tao, University of California, Los Angeles. Some universality techniques for random matrix ensembles. Lecture notes available at https://pcmi.ias.edu/sites/pcmi.ias.e...
The lecture series will present some of the advances in the last few years (by Erdos, Schlein, Yau, Yin, Vu, myself, and others) in demonstrating universal limiting asymptotics at microscopic scales for the spectrum of random matrices of Wigner type, focusing particularly on the Lindeberg exchange strategy and the local relaxation flow method of Erdos, Schlein, Yau, and Yin.

Lecture presented at the 27th Annual PCMI Summer Session, Random Matrices, held June 25 – July 15, 2017. The residential, three-week Summer Session is the flagship activity of the IAS/Park City Mathematics Institute (PCMI).

The Institute for Advanced Study / IAS / Park City Mathematics Institute (PCMI) is designed for mathematics educators at the secondary and post-secondary level, as well as mathematics researchers and students at the post-secondary level. These groups find at PCMI an intensive mathematical experience geared to their individual needs. Moreover, the interaction among groups with different backgrounds and professional needs increases each participant’s appreciation of the mathematical community as a whole as well as the work of participants in different areas.

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