In the last few years remarkable advances have been made toward extending the Beauville-Bogomolov decomposition theorem from compact Kähler manifolds to mildly singular proper varieties. Work by Greb, Kebekus and Peternell provide a splitting of the tangent sheaf of varieties which indicates that these are built up from (singular versions of ) Abelian, Calabi-Yau, and hyperkähler varieties. In small dimensions - at most 5 - Druel showed how to “integrate” such infinitesimal splitting to obtain actual splittings of suitable finite covers of the varieties in question.
The purpose of this workshop is to present these recent developments in a format suitable to Phd students and foster new developments on the subject.
The conference will aim to cover the following topics:
Carolina Araujo (IMPA Rio)
Jean-Benoît Bost (Université Paris-Sud)
Dominique Cerveau (Université Rennes I)
Carlo Gasbarri (Université de Strasbourg)
Jorge Vitório Pereira (IMPA Rio & Aix-Marseille Université)
Erwan Rousseau (Aix-Marseille Université)
INVITED SPEAKERS (tbc)
Stéphane Druel (CNRS, Université Grenoble Alpes)
Daniel Greb (University of Duisburg-Essen)
Henri Guenancia (CNRS, Université Toulouse Paul Sabatier)
Stefan Kebekus (University of Freiburg)
Frédéric Touzet (Université Rennes I)