Modul:   MAT760  Ergodic theory and dynamical systems seminar

Horocycle flows at semi-prime times

Vortrag von Prof. Dr. Adam Kanigowski

Datum: 25.09.24  Zeit: 13.30 - 14.30  Raum: Y27H28

In this joint work with G. Forni and M. Radziwill we study the orbits of horocycle flows when sampled at semi-primes (integers with at most two prime factors). We show that if the lattice is arithmetic then such orbits equidistribute towards Haar measure for every non-periodic point. During the talk I will outline a new criterion for semi-primes, and describe main ideas of the proof.