EVENT DETAILS AND ABSTRACT

Title: Spectral methods, ergodic theorems, and intrinsic Diophantine approximation.
Speaker: Amos Nevo
Speaker Info: Technion
Brief Description:
Special Note:
Abstract:

ABSTRACT: We will describe a recently developed general approach to the problem of intrinsic Diophantine approximation on homogeneous algebraic varieties, raised by Serge Lang in 1965, and demonstrate it in many natural examples. The approach utilizes harmonic analysis in the automorphic representation associated with a lattice in an algebraic group, together with some arguments in homogeneous dynamics and ergodic theory. It provides the best possible solution to some previously inaccessible intrinsic Diophantine approximation problems, and raises some challenging open problems in others.

Based on joint work with Anish Ghosh and Alex Gorodnik.