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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 211B - Group Actions Seminar
Zvi Shem-Tov
Institute for Advanced Study
Arithmetic Quantum Unique Ergodicity for 3-dimensional hyperbolic manifold
Abstract:
The Quantum Unique Ergodicity conjecture of Rudnick and Sarnak says that eigenfunctions of the Laplacian on a compact manifold of negative curvature become equidistributed as the eigenvalue tends to infinity. In the talk, I will discuss recent work on this problem for arithmetic quotients of the three-dimensional hyperbolic space. I will discuss our key result that Hecke eigenfunctions cannot concentrate on certain proper submanifolds. Joint work with Lior Silberman.
Host: Brandon Seward
March 9, 2023
10:00 AM
Zoom ID 967 4109 3409
Email an organizer for the password
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