Number Theory Seminar - Liyang Zhang

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April 3, 2017
4:15 pm - 5:15 pm
Math Tower 154

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2017-04-03 16:15:00 2017-04-03 17:15:00 Number Theory Seminar - Liyang Zhang Title: Quantum Unique Ergodicity of Degenerate Eisenstein Series on GL$(n)$Speaker: Liyang Zhang (Yale University)Abstract: In the area of quantum chaos, it is of great interest to investigate the distribution of the $L^2$-mass of the eigenfunctions of the Laplacian as the eigenvalues tend to infinity. Luo and Sarnak first formulated and proved quantum unique ergodicity of Eisenstein series on SL$(2,\mathbb{Z}) \backslash \mathcal{H}$. In this talk, we extend the result of Luo and Sarnak and prove quantum unique ergodicity for a subspace of the continuous spectrum spanned by the degenerate Eisenstein Series on GL$(n)$.Seminar URL: https://research.math.osu.edu/numbertheory/number.php Math Tower 154 America/New_York public

Title: Quantum Unique Ergodicity of Degenerate Eisenstein Series on GL$(n)$

SpeakerLiyang Zhang (Yale University)

Abstract: In the area of quantum chaos, it is of great interest to investigate the distribution of the $L^2$-mass of the eigenfunctions of the Laplacian as the eigenvalues tend to infinity. Luo and Sarnak first formulated and proved quantum unique ergodicity of Eisenstein series on SL$(2,\mathbb{Z}) \backslash \mathcal{H}$. In this talk, we extend the result of Luo and Sarnak and prove quantum unique ergodicity for a subspace of the continuous spectrum spanned by the degenerate Eisenstein Series on GL$(n)$.

Seminar URLhttps://research.math.osu.edu/numbertheory/number.php

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