
Time and place  Thursday 1113 Schreiber 210 




About  We will amuse ourselves by reading some papers about applications of homogeneous dynamics in number theory (particularly diophantine approximation and geometry of numbers) and geometry of discrete sets (Delone sets). In the fall semester we studied mixing and effective mixing, and in this semester, we will study applications of these results.  



Schedule 
Counting lattice orbits on the upper half plane and counting closed geodesics We will follow ideas originating from Margulis' thesis, relating mixing and the count of points in an orbit of lattice orbits on the hyperbolic plane. Some of the ideas can be found in Margulis' thesis ( On some aspects of the theory of Anosov systems ) and some can be found in a survey of Einsiedler and Ward, see section 5.2 of the Durham lecture notes. NOTE WE MEET ON A TUESDAY Counting lattice orbits on affine symmetric space (after EskinMcMullen) The talk will be based on the paper of Eskin and McMullen, "Mixing, counting, and equidistribution in Lie groups", Duke Math. J. Volume 71, (1993), 181209.




Previous years 
Fall 2014
