Cubic fourfolds, hyper-Kähler varieties and algebraic cycles

Lyon, October 11-12, 2016


Rationality problem for cubic hypersurfaces is a long standing problem. The work of Clemens-Griffiths shows the irrationality of cubic threefolds. But the stable rationality is still open. On the other hand, the higher dimensional case still remains mysterious. One expects that the rationality of cubic fourfolds is closely related to the Fano variety of lines, which is itself a hyperKähler manifold. The study of hyperKähler manifolds has also received lots of attentions. In addition to the "classical" approach to these questions, in recent years there is a surge of research from the point of views of derived categories and stability conditions. The past few years have witnessed a great advance in all the above-mentioned topics. This workshop will bring together experts in the field and present the most recent advances.

Mini course Decomposition of the diagonal and cubic hypersurfaces

Claire Voisin (Collège de France)

Research talks

Jean-Louis Colliot-Thélène (Université Paris-Sud)
Radu Laza (Stony Brook University)
René Mboro (École Polytechnique)
Gianluca Pacienza (Université de Lorraine)
Mingmin Shen (University of Amsterdam)
Paolo Stellari (Università degli Studi di Milano)

Titles and Abstracts

Practical information

Location: Salle 112, Batîment Braconnier, Institut Camille Jordan.
Access: click 'La Doua Campus'.

Coffee breaks: Salle 110 (common room).
Reception: Tuesday 10:00, Salle 110.

If you are interested in attending this workshop, please contact one of the organizers. The registration for financial support is closed.

Group photo


Olivier Benoist
Lie Fu
Zhiyu Tian


Projet Exploratoire Premier Soutien (PEPS) Jeunes chercheur-e-s 2016, INSMI, CNRS
Fédération de Recherche en Mathématiques Rhône-Alpes/Auvergne
Labex Milyon
Institut Camille Jordan, Université Claude Bernard Lyon 1