Group actions on algebraic varieties

This school is an introduction to subjects of current interest in algebraic geometry, with emphasis on group actions on algebraic varieties. The goal is to train Latin American students and young researchers on the different techniques in transformation groups (algebraic, symplectic, topological, etc.) and to highlight the many interactions between these viewpoints. There will be 5 courses, all of them delivered by well recognized specialists from France, USA and Mexico. Three of these courses will provide basic introductions to algebraic group actions, spherical varieties (which are generalizations of toric varieties and homogeneous spaces), and Mukai’s vector bundle method (for constructing certain K3 surfaces and Fano varieties as linear sections of homogeneous spaces). They will be followed by two courses on interactions between group actions, complex dynamical systems, and arithmetic geometry. Additionally, there will be several research talks given by the members of the Scientific Committee, researchers from PUCP, and invited researchers from South America, USA and Europe.