Mini-Workshop: Group Actions on Curves: Reduction and Lifting

Abstract

Group actions on algebraic curves over local, global and finite fields play an important role in modern algebraic and arithmetic geometry. From the arithmetic perspective, the most difficult and interesting case occurs when a group with a nontrivial p-subgroup acts on a curve over a p-adic field or a finite field of characteristic p. The goal of this workshop was to bring together a group of active and mostly young researchers working in this area, to discuss the latest developments and to stimulate further research.