Research Group Jarden
June 1 - August 31, 2011
Organizers: Lior Bary-Soroker, Dan Haran, Moshe Jarden, Florian Pop
Guests: Wulf-Dieter Geyer, Linda Gruendken, Aaron Silberstein, Adam Topaz
Field Arithmetic studies the interrelation between arithmetical properties of fields and their absolute Galois groups. It is an interdisciplinary area that uses methods of algebraic number theory, algebraic geometry, arithmetic geometry, and the theory of profinite groups. Some of the results are motivated by questions of model theory and are used to establish results in this area like decision procedures, undecidability results, and transfer theorems.