|Location:||MSRI: Baker Board Room|
We consider a finite piece C of an analytic curve on a minimal expanding (abelian) horospherical subgroup of G=SL(n,R) associated to some element g in G. We consider the subgroup action of G on a finte volume homogeneous space X, and consider the trajectory of C from some point x in X. We want to find algebraic conditions on C which ensures that in the limit, the translates of Cx by powers of g get equidistributed in the closure of the G orbit from x. In this talk we describe some recent joint work with Lei Yang on this problem.
This kind of results have applications to metric properties of diophantine approximation.No Notes/Supplements Uploaded No Video Files Uploaded