Scientific Organisers

Victor Batyrev, Universität Tübingen

Alexei N Skorobogatov, Imperial College London
About:
The idea of the meeting was to bring together mathematicians who use torsors in their research. Two minicourses presented recent achievements on the borderline between geometric invariant theory and representation theory. One morning session was devoted to new applications of étale homotopy; arithmetic applications of torsors featured in a number of other talks. On the whole, talks were accessible to a heterogeneous audience of experts, postdocs and PhD students coming from different backgrounds (algebra, algebraic geometry and arithmetic geometry). We had a good mix of speakers: well established influential researchers as well as brilliant younger people. Much discussion went on between the talks. One goal has already been achieved: mathematicians working in areas that are related but which had limited contact have become aware of the existing methods and techniques. We are confident that this crossfertilisation of ideas will continue. There was sufficient enthusiasm to publish a volume of conference proceedings featuring lecture notes of the two minicourses.
Speakers and their talk titles
Ivan Arzhantsev, Lomonosov Moscow State University  Two Applications of Cox Rings in Affine Geometry
Victor Batyrev, Universität Tübingen  Distribution of Rational Points and Mori Program
Mikhail Borovoi, Tel Aviv University  Extended Picard Complex of a Homogeneous Space
Cyril Demarche, Université Paris 6  Strong Approximation in Homogeneous Spaces Over Number Fields
Ulrich Derenthal, LudwigMaximiliansUniversität München  Counting Rational Points via Universal Torsors
Mathieu Florence, Université Paris 6  Equivariant Geometry of Grassmannians
Sergey Gayfullin, Moscow State University Cox Rings of SVarieties
Phillipe Gille, Ecole Normale Supérieure  Torsors and Classification of Multiloop Lie Algebras
David Harari, Universite ParisSud  Descent Theory for Open Varieties
Yonatan Harpaz, The Hebrew University  Homotopy Obstructions to Integral Points
Jürgen Hausen, Universität Tübingen  Cox Rings and Geometric Invariant Theory
Antonio Laface, Universidad de Concepción  Techniques for Calculating Cox Rings
Ambrus Pál, Imperial College London  Rational Points and Homotopy Theory
Vera Serganova, University of California  Representation Theory, Torsors and Del Pezzo Surfaces
Tomer Shlank, The Hebrew University  The Brauer Manin Obstruction Applied to Ramified Covers
Jacob Stix, Universität Heidelberg  On the Section Conjecture Over Finite Fields
Jenia Tevelev, University of Massachusetts  Geometric Tropicalisation and Cox Coordinates
Felipe Voloch, University of Texas  Finite Descent Obstructions for Integral Points on Curves