Rado Lecture 2 - Elon Lindenstrauss

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Elon Lindenstrauss
February 28, 2012
4:30PM - 5:30PM
Location
Jennings Hall, Room 355

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Add to Calendar 2012-02-28 16:30:00 2012-02-28 17:30:00 Rado Lecture 2 - Elon Lindenstrauss Title:  Quantum unique ergodicity and homogeneous dynamicsSpeaker:  Elon Lindenstrauss, The Hebrew University of JerusalemAbstract: The quantum unique ergodicity conjecture of Rudnick and Sarnak states that on a compact hyperbolic manifold Laplacian eigenfunctions become equidistributed in the semiclassical limit. A particularly interesting testing group of this conjecture are arithmetic surfaces (and higher dimensional arithmetic manifolds) where the conjecture (and close analogues of it) have been established in several (but not all) of the most interesting cases, one of the approaches being via homogeneous dynamics. I will discuss this connection, as well as recent work with S. Brooks on behavior of quasimodes.2012 Rado Lecture Poster Jennings Hall, Room 355 Department of Mathematics math@osu.edu America/New_York public
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TitleQuantum unique ergodicity and homogeneous dynamics

SpeakerElon Lindenstrauss, The Hebrew University of Jerusalem

Abstract: The quantum unique ergodicity conjecture of Rudnick and Sarnak states that on a compact hyperbolic manifold Laplacian eigenfunctions become equidistributed in the semiclassical limit. A particularly interesting testing group of this conjecture are arithmetic surfaces (and higher dimensional arithmetic manifolds) where the conjecture (and close analogues of it) have been established in several (but not all) of the most interesting cases, one of the approaches being via homogeneous dynamics. I will discuss this connection, as well as recent work with S. Brooks on behavior of quasimodes.

2012 Rado Lecture Poster

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