Convolutions and fluctuations: free, finite, quantized

Colloquia & Seminars

Convolutions and fluctuations: free, finite, quantized
Date/Time:29 Mar 2018 15:00 Venue: S17 #04-06 SR1 Speaker: Vadim Gorin, MIT Convolutions and fluctuations: free, finite, quantized The talk is about three operations on eigenvalues of self-adjoint matrices obtained from cutting out principal corners, adding and multiplying matrices. We discuss the asymptotic behavior of the operations as the size of the matrix goes to infinity, or as the dimension of the base field (beta parameter) goes to infinity, or in the quantized problem where matrices are replaced by group representations. The first one is classical, the third one is more recent, and the second one is very new. Each case leads to its own operation on measures and its own Gaussian fluctuation field. Add to calendar: