PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Svetlana Katok, Stephanie Zerby, Anatole Katok, Federico Rodriguez Hertz.

Title:Equidistribution of stretching translates of curves on homogeneous spaces
Seminar:Center for Dynamics and Geometry Colloquium
Speaker:Nimish Shah, Ohio State University
We consider a finite piece C of an analytic curve on a minimal expanding (abelian) horospherical subgroup of G=SL(n,R) associated to a certain diagonal element g in G. We consider the subgroup action of G on a finite volume homogeneous space X, and consider the trajectory of C from some point x in X. We want to understand algebraic conditions on C which ensure that in the limit, the translates of the curve Cx by g^n get equidistributed in the (homogeneous) closure of the G-orbit of x as 𝑛→∞. In this talk we describe some recent joint work with Lei Yang on this problem. Such results have applications to metric properties of Diophantine approximation; for example, to show non-improvability of Dirichlet’s approximation on curves in the space of matrices.

Room Reservation Information

Room Number:MB114
Date:03 / 29 / 2016
Time:02:30pm - 03:29pm