Seminar Event Detail


Date:  Thursday, November 21, 2019
Location:  3866 East Hall (3:00 PM to 4:00 PM)

Title:  Non-accumulation of periodic torus orbits

Abstract:   The 'linearization' technique is a powerful method in homogeneous dynamics to control the time a unipotent orbit spends in the vicinity of a closed homogeneous subset. This method relies on the polynomial nature of a unipotent flow and does not extend to diagonalizable actions.

I will describe a new arithmetic approach to bound the accumulation of periodic orbits of higher-rank diagonalizable groups. This method plays a major role in the recent progress on the Michel-Venkatesh mixing conjecture.


Speaker:  Ilya Khayutin
Institution:  Northwestern

Event Organizer:   Alex Wright   


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