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APRG Seminar

Title: An encoding retrieving the edge universality of Wigner matrices
Speaker: Debapratim Banerjee (Ashoka University)
Date: 12 July 2024
Time: 2 pm
Venue: LH-1, Mathematics Department

In this talk, we give a new combinatorial proof of classical edge universality of Wigner matrices without assuming the entries of the matrices are symmetrically distributed around 0. We complete this proof by giving a new encoding of the Wigner words and a counting strategy which works for traces of very high powers of the matrix. In this talk, we shall introduce the encoding, describe the class of words which capture the randomness and finally give some insight about the proof for general non vanishing odd moments.

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 15 Jul 2024