Seminar on homogeneous dynamics and applications

Tel Aviv University, Spring 2018


Time and place Thursday 11-13 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
  • April 12, Oliver Sargent

    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.

  • April 24, Rene Ruehr

    NOTE WE MEET ON A TUESDAY

    Counting lattice orbits on affine symmetric space (after Eskin-McMullen)

    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), 181-209.



  • Previous years Fall 2014

    Spring 2015

    Fall 2015

    Spring 2016

    Fall 2016

    Spring 2017

    Fall 2017