Joint IAS/PU Groups and Dynamics Seminar

We discuss recent results on distribution of orbits of horocycle flows at subquadratic polynomial times (joint work with M. Radziwill) and at the prime counting function $\Omega$ (joint work with K. Loyd)

The generalized Markoff equation gives rise to a dynamical system via the Markoff group acting on the solution set. This talk considers the resulting dynamics over finite fields, which has strong connections with combinatorial group theory and...