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Spectral Gaps of Random Covers of Hyperbolic Surfaces

Offered By: Hausdorff Center for Mathematics via YouTube

Tags

Quantum Chaos Courses Number Theory Courses Topology Courses Spectral Gap Courses Zeta Functions Courses

Course Description

Overview

Explore a lecture on spectral gaps of random covers of hyperbolic surfaces delivered by Frédéric Naud as part of the Hausdorff Trimester Program "Dynamics: Topology and Numbers" conference. Delve into the concept of random hyperbolic surfaces with infinite area and understand the relevant notion of spectral gap for Laplacian resonances. Discover the main result, a probabilistic version of Selberg's 3/16 theorem, developed in collaboration with Michael Magee. Learn how the proof incorporates transfer operators and zeta functions. Gain insights into this advanced mathematical topic over the course of 64 minutes, presented at the Hausdorff Center for Mathematics.

Syllabus

Frédéric Naud: Spectral gaps of random covers of hyperbolic surfaces


Taught by

Hausdorff Center for Mathematics

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