Seminar in Real & Complex Geometry

Thursday, 07.02.2013, 16:15-17:30, Schreiber building, room 210

Soli Vishkautsan, Bar-Ilan University

Residual periodicity on algebraic varieties


We present "residual periodicity", a relatively new concept in arithmetic dynamics, as defined by Bandman, Grunewald and Kunyavskii. A rational self-map of a quasiprojective variety defined over a number field is strongly residually periodic if its minimal periods are bounded modulo almost every prime. We discuss some interesting examples, and present results about residual periodicity on cubic surfaces.