401-3375-67L Homogeneous Dynamics and Applications
Semester | Herbstsemester 2017 |
Dozierende | M. Einsiedler, M. Akka Ginosar, Ç. Sert |
Periodizität | einmalige Veranstaltung |
Lehrsprache | Englisch |
Kurzbeschreibung | The aim is to reach a few of the applications of homogeneous dynamics to number theory, e.g. counting results concerning quadratic forms, but also develop the theory from scratch. The first part of the course will be based on the book "Ergodic Theory with a view towards number theory" by Einsiedler and Ward, but several topics go beyond this volume. |
Lernziel | The aim is to reach a few of the applications of homogeneous dynamics to number theory, e.g. counting results concerning quadratic forms, but also develop the theory from scratch. The first part of the course will be based on the book "Ergodic Theory with a view towards number theory" by Einsiedler and Ward, but several topics go beyond this volume. |
Inhalt | The first part of the course will be based on the book "Ergodic Theory with a view towards number theory" by Einsiedler and Ward, but several topics go beyond this volume. Some of the aims of the course are: -) Pointwise ergodic theorem for a certain class of amenable groups -) Dynamics on hyperbolic surfaces, equidistribution of periodic horocycle orbits -) Applications to counting -) Some cases of Ratner theorems in Unipotent dynamics Course website: Link |