Generalized Moments of the Classical Compact Groups
[HYBRID WORKSHOP] Connections and Introductory Workshop: Universality and Integrability in Random Matrix Theory and Interacting Particle Systems, Part 2 September 20, 2021 - September 24, 2021
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Tags/Keywords
Characteristic polynomials
moments
l
t
Toeplitz determinant
symmetric function theory
Riemann zeta function
Generalized Moments Of The Classical Compact Groups
This talk will cover a natural generalization of moments of characteristic polynomials from the classical compact groups (unitary, symplectic, orthogonal). The results presented resolve a conjecture of Fyodorov and Keating. There are natural connections to log-correlated fields, integrable systems (asymptotics of Toeplitz and Hankel determinants, Painlevé), symmetric function theory, and number theory.
Generalized Moments Of The Classical Compact Groups
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