|Informal Group Action Seminar|
|Topic:||Non-accumulation of periodic torus orbits|
|Affiliation:||Princeton University; Veblen Research Instructor, School of Mathematics|
|Date:||Wednesday, December 12|
|Time/Room:||2:00pm - 3:15pm/Simonyi Hall 101|
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.