Edge Universality for Non-Hermitian Random Matrices

Explore edge universality for non-Hermitian random matrices in this 49-minute lecture by Laszlo ERDOES from IST Klosterneuburg, Austria. Delve into topics such as eigenvalues of random matrices with independent entries, the circular law, and universality conjectures. Examine techniques for proving spectral universality, cusp universality for Hermitian Wigner-type matrices, and Girko's Hermitization. Learn about local law, classical smoothing inequalities, and smoothing in the transitional regime. Gain insights into the proof of non-Hermitian edge universality through a detailed sketch. This talk, part of the School and Workshop on Random Matrix Theory and Point Processes, offers a comprehensive overview of advanced concepts in random matrix theory.