Spectral Gaps of Random Covers of Hyperbolic Surfaces
Offered By: Hausdorff Center for Mathematics via YouTube
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
Related Courses
Introduction to Mathematical ThinkingStanford University via Coursera Effective Thinking Through Mathematics
The University of Texas at Austin via edX Cryptography
University of Maryland, College Park via Coursera Математика для всех
Moscow Institute of Physics and Technology via Coursera Number Theory and Cryptography
University of California, San Diego via Coursera