Lima, September 4 - 15, 2017



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 Colombia. 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.


Courses:

     Michel Brion (Institut Fourier, France) 

         Actions of linear algebraic groups
  
     Olivier Debarre (ENS, France)

       
Automorphism groups of K3 surfaces and hyperkähler manifolds

     Nicolas Perrin (U. Versailles, France) 

         Introduction to spherical varieties

     Alexander Samokhin (IITP RAS, Moscow, Russia and HHU Düsseldorf, Germany)


     Bernardo Uribe (Universidad del Norte, Colombia) 

        Equivariant bordism (in Spanish)



    Note: The course by Laura DeMarco (Northwestern U., USA) had to be cancelled, for she was not able to travel to Lima    due to the Irma Hurracaine that hit the US during the weekend of Sept 9-10. The references for that course can be found here:  Dynamical Moduli Spaces and abelian varieties.


Talks:

       Clementa Alonso (U. Alicante, Spain)

       Christian Valqui (PUCP, Peru)

      Fernando Cukierman (U. Buenos Aires, Argentina)

     Arturo Fernández (U. Federal Minas Gerais, Brazil)

    
Elizabeth Gasparim (U. Catolica del Norte, Antofagasta, Chile)
    
     Richard Gonzales (PUCP, Peru)

     Antonio Laface (U. de Concepcion, Chile)

     Alvaro Rittatore (Centro de Matemáticas, Uruguay)

     Rudy Rosas (PUCP, Peru)

     Alexander Samokhin (HHU Dusseldorf, Germany)

     Javier Zúñiga (U. del Pacífico, Perú)