Rado Lecture 1 - Elon Lindenstrauss

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Elon Lindenstrauss
February 27, 2012
4:30PM - 5:30PM
Location
Jennings Hall, Room 355

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Add to Calendar 2012-02-27 16:30:00 2012-02-27 17:30:00 Rado Lecture 1 - Elon Lindenstrauss Title:  Homogeneous dynamics and diagonalizable actionsSpeaker:  Elon Lindenstrauss, The Hebrew University of JerusalemAbstract:  Homogeneous dynamics and diagonalizable actions Algebraic actions on quotient spaces G/Gamma give highly interesting dynamical systems that are in many cases intimately linked with number theory. One of the most powerful ways to study these dynamical systems is to study the collection of invariant probability measures.Such a study forms the core of Ratner's landmark proof of the Raghunathan conjecture regarding orbits of unipotent groups. Already in the 1950's Cassels and Swinnerton Dyner observed (in a dual language) that higher rank diagonal groups have interesting rigidity properties which are still far from being understood. I will survey the progress made in this direction, particularly regarding the measure classification question, as well as the challenges that remain. 2012 Rado Lecture Poster Jennings Hall, Room 355 Department of Mathematics math@osu.edu America/New_York public
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TitleHomogeneous dynamics and diagonalizable actions

SpeakerElon Lindenstrauss, The Hebrew University of Jerusalem

Abstract:  Homogeneous dynamics and diagonalizable actions Algebraic actions on quotient spaces G/Gamma give highly interesting dynamical systems that are in many cases intimately linked with number theory. One of the most powerful ways to study these dynamical systems is to study the collection of invariant probability measures.

Such a study forms the core of Ratner's landmark proof of the Raghunathan conjecture regarding orbits of unipotent groups. Already in the 1950's Cassels and Swinnerton Dyner observed (in a dual language) that higher rank diagonal groups have interesting rigidity properties which are still far from being understood. I will survey the progress made in this direction, particularly regarding the measure classification question, as well as the challenges that remain.

2012 Rado Lecture Poster

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