Brandeis University Everytopic Seminar

Friday April 20, 2007, 1:40 PM, Goldsmith 226

Speaker: Dmitry Kleinbock (Brandeis)

Title: Expanding translates of horospheres and their applications to number theory

Abstract: I will state a new result on equidistribution of expanding translates of orbits of horospherical subgroups on homogeneous spaces, and discuss two proofs, joint with Barak Weiss and Gregory Margulis, respectively, and, if time allows, some applications to the theory of "diophantine approximation with weights". The talk requires no background; all the confusing terms appearing in the title and abstract will be explained in an elementary way.