|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
Event Organizer: Alex Wright