PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Mari Royer, Yakov Pesin, Dmitri Burago, Anatole Katok.

Title:Effective results on actions of commuting toral automorphisms
Seminar:Center for Dynamics and Geometry Seminars
Speaker:Zhiren Wang, Princeton
Abstract:
Let $G$ be an abelian subgroup of $SL(d,Z)$. When $G$ acts totally irreducibly on $T^d$, has some hyperbolicity and is not virtually-cyclic, Berend proved that every orbit on $T^d$ is either the whole torus or finite. We will discuss effective forms of this theorem and how they are related to number-theoretical problems. This is an analogue of the recent quantitative Furstenberg's theorem concerning the $\times 2$, $\times 3$ action on the circle by Bourgain-Lindenstrauss-Michel-Venkatesh.

Room Reservation Information

Room Number:MB106
Date:11 / 16 / 2009
Time:03:30pm - 05:30pm