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Optimal smooth approximation of integral cycles

Jussieu -- salle 15-16-309 4 Place Jussieu, Paris, France

Title: Optimal smooth approximation of integral cycles Speaker: Camillo De Lellis (Institute for Advanced Study, Princeton) Abtract: Integer rectifiable currents without boundary were introduced in the 60es as a good variational generalization of smooth cycles (smooth oriented submanifolds without boundary) of Riemannian manifolds. In the presentation I will give an idea of the foundational paper of Federer and Fleming, who introduced the concept which later became a powerful tool to tackle variational problems like the existence of submanifolds of least area in every integral homology class. One of the most […]

Peter Jossen, raconte-moi la conjecture de Minkowski !

IHP - Amphi Darboux

La conjecture de Minkowski (celle sur le minimum inhomogène des réseaux euclidiens, datant de envion 1900) est un problème de géométrie des nombres, où l'on cherche à quantifier à quel point l'anneau des entiers d'un corps de nombres totalement réel est euclidien par rapport à la norme. Elle est vérifiée en basse dimension (<=9), mais ouverte en général.