M. Alper Gunes (Princeton): Unitarily invariant random matrices and isomorphic reverse isoperimetry

Mustafa Alper Gunes, Princeton University

Event Date
2025-10-28
Event Time
03:30 pm ~ 04:30 pm
Event Location
Wachman 617

In this talk, we will focus on a conjecture due to Naor concerning an isomorphic reverse isoperimetry phenomenon, and explore its close connection to random matrix theory. Namely, we will see that the resolution of both the weak and strong versions of the conjecture in the setting of unitary ideals require sharp non-asymptotic estimates for various moments associated with log-concave unitarily invariant random matrices, which may also be of independent interest. Based on joint works with Naor, and with Naor and Paouris.