Si segnalano i seguente seminario a tutti gli interessati.
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Martedì 24 Giugno 2025, ore 15:00.
Aula Seminari III Piano, Dipartimento di Matematica, Politecnico di Milano.
Speaker: Giorgio Cipolloni, The University of Arizona, College of Mathematics.
Title: Spectral Statistics of Large Random Matrices
Abstract: The last fifteen years have brought major breakthroughs in understanding the spectra of large random matrices. I'll discuss several recent advances in eigenvalue and eigenvector statistics for both Hermitian and non-Hermitian matrices, focusing on the universal patterns that emerge.
Link Zoom: https://polimi-it.zoom.us/j/92959315270?pwd=heQYe7W7vKv2UUf8mmT1mRuyW57F9B.1
Link Seminario Polimi: https://www.mate.polimi.it/eventi/?id=2597#single
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Mercoledì 25 Giugno 2025, ore 15:00.
Aula Seminari III Piano, Dipartimento di Matematica, Politecnico di Milano.
Speaker: Giorgio Cipolloni, The University of Arizona, College of Mathematics.
Title: Logarithmically Correlated Fields from Random Matrices.
Abstract: In 2012, Fyodorov, Hiary, and Keating discovered a new connection between random matrices and extremal values of logarithmically correlated fields, such as branching Brownian motion and the 2D Gaussian Free Field. In particular, they conjectured that extreme statistics of random characteristic polynomials of unitary matrices belong to the universality class of logarithmically correlated fields, which was first identified by Bramson in his seminal work on branching Brownian motion. I will review several contributions in proving this connection and present some new recent works establishing new connections of characteristic polynomials of non-Hermitian matrices and two- and three-dimensional logarithmically correlated fields.
Link Zoom: https://polimi-it.zoom.us/j/92092890590?pwd=81rN5Wr71qo5hPv5UkGhkm5MdPM7Rv.1
Link Seminario Polimi: https://www.mate.polimi.it/Eventi/?id=2598#single
----- Prof. Luca Scarpa, PhD Associate Professor in Probability Department of Mathematics Politecnico di Milano Via E. Bonardi 9 20133 Milano, Italy e.mail: luca.scarpa@polimi.itmailto:luca.scarpa@polimi.it url: https://sites.google.com/view/lucascarpa