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X-ORIGINAL-URL:https://www.math.ens.psl.eu
X-WR-CALDESC:évènements pour Département de mathématiques et applications
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TZID:Europe/Paris
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TZOFFSETFROM:+0100
TZOFFSETTO:+0200
TZNAME:CEST
DTSTART:20250330T010000
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DTSTART:20251026T010000
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DTSTART;TZID=Europe/Paris:20250602T090000
DTEND;TZID=Europe/Paris:20250602T120000
DTSTAMP:20260523T193235
CREATED:20241204T142404Z
LAST-MODIFIED:20241204T142404Z
UID:18758-1748854800-1748865600@www.math.ens.psl.eu
SUMMARY:Assemblée générale du projet PSL Statistical Physics and Mathematics
DESCRIPTION:Les projections aléatoires constituent une technique de réduction de dimension simple et efficace en apprentissage automatique non supervisé. Elles reposent sur l’existence de quasi-immersions pour un ensemble de points d’un espace euclidien de haute dimension vers un espace de dimension inférieure. Nous proposerons une présentation du lemme de Johnson-Lindenstrauss centrée sur la notion de variable sous-gaussienne\, puis nous discuterons de la meilleure manière de construire des projections simples\, et en particulier creuses.
URL:https://www.math.ens.psl.eu/evenement/assemblee-generale-du-projet-psl-statistical-physics-and-mathematics/
LOCATION:DMA Salle W
CATEGORIES:Séminaire informel de probabilités
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BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20250605T103000
DTEND;TZID=Europe/Paris:20250605T113000
DTSTAMP:20260523T193235
CREATED:20250602T132932Z
LAST-MODIFIED:20250602T145349Z
UID:19353-1749119400-1749123000@www.math.ens.psl.eu
SUMMARY:Sam G.Krupa : Hyperbolic conservation laws and connections to geometry/algebra/computer-assisted proof
DESCRIPTION:In this talk\, I will discuss how the question of uniqueness of solutions to the PDEs arising in hyperbolic conservation laws can be converted to a question of rank-one convex geometry.
URL:https://www.math.ens.psl.eu/evenement/sam-g-krupa-hyperbolic-conservation-laws-and-connections-to-geometry-algebra-computer-assisted-proof/
LOCATION:Salle W
CATEGORIES:Colloquium doctorant
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BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20250610T093000
DTEND;TZID=Europe/Paris:20250610T123000
DTSTAMP:20260523T193235
CREATED:20240905T181531Z
LAST-MODIFIED:20250529T190911Z
UID:17696-1749547800-1749558600@www.math.ens.psl.eu
SUMMARY:Optimal smooth approximation of integral cycles
DESCRIPTION:Title: Optimal smooth approximation of integral cycles \n\n\n\nSpeaker: Camillo De Lellis (Institute for Advanced Study\, Princeton) \n\n\n\nAbtract: 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 important points of their work is the so-called Deformation Theorem\, which shows that integral cycles can be suitably approximated by polyhedral chains\, the classical objects used to define integral homology groups. In particular it is possible to use the theory of integer rectifiable currents directly to define the integral homology of a Riemannian manifold (and of more general objects). \n\n\n\nThe talk will address to which extent it is possible to approximate integral cycles with smooth submanifolds. A celebrated discovery by Thom in the fifties is that there are integral homology classes which have no smooth representatives. In the eighties Almgren and Browder announced two rather interesting results: integral cycles can be approximated by smooth cycles when there are no topological obstructions\, while in general they can always be approximated by cycles with a closed singular set of small dimension. In a joint work with Browder and Caldini we provide a proof of these facts\, completing the program sketched in unpublished notes of Almgren and Browder.
URL:https://www.math.ens.psl.eu/evenement/camillo-de-lellis-2/
LOCATION:Jussieu —  salle 15-16-309\, 4 Place Jussieu\, Paris\, 75005\, France
CATEGORIES:Séminaire Analyse non linéaire et EDP
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20250625T110000
DTEND;TZID=Europe/Paris:20250625T120000
DTSTAMP:20260523T193235
CREATED:20250623T120701Z
LAST-MODIFIED:20250623T120703Z
UID:19407-1750849200-1750852800@www.math.ens.psl.eu
SUMMARY:Peter Jossen\, raconte-moi la conjecture de Minkowski !
DESCRIPTION: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.
URL:https://www.math.ens.psl.eu/evenement/peter-jossen-raconte-moi-la-conjecture-de-minkowski/
LOCATION:IHP – Amphi Darboux
CATEGORIES:Algèbre et géométrie,Séminaire Raconte-moi
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