BEGIN:VCALENDAR VERSION:2.0 PRODID:-//wp-events-plugin.com//7.2.3.1//EN TZID:Europe/Paris X-WR-TIMEZONE:Europe/Paris BEGIN:VEVENT UID:8008@i2m.univ-amu.fr DTSTART;TZID=Europe/Paris:20150921T000000 DTEND;TZID=Europe/Paris:20150925T000000 DTSTAMP:20241120T205625Z URL:https://www.i2m.univ-amu.fr/evenements/elliptic-methods-and-moduli-spa ces-morlet-chair-francois-lalonde/ SUMMARY:School (CIRM\, Luminy\, Marseille): Elliptic Methods and Moduli Spa ces (Morlet Chair - François Lalonde) DESCRIPTION:School: \n\n\n\n\n CIRM - Jean-Morlet Chair \n François Lalond e &\; Andrei Teleman\n\nModuli Spaces in Symplectic Topology and Gauge  Theory\n\nEspaces de modules en topologie symplectique et théorie de Ja uge\n\n\n 2015 - Semester 2 \n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nRESEARCH SCHOOL \nElliptic Methods and Moduli Spaces (1257)\nMéthodes elliptique s et espaces de modules\nDates: 21-25 September 2015 at CIRM (Marseille\, France)\n\n\n\n\n \n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n SCHEDULE \n\n\ n\n\n\n ABSTRACTS \n\n\n\n\n\n PARTICIPANTS \n\n\n\n\n\n\n \n\n\n\n\n\n\n \n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nDESCRIPTION\n\nNowadays\, most of Sy mplectic topology and Gauge theory are based on a very diverse and profoun d set of Floer theories\, which are themselves derived from a rich and com plex corpus of moduli spaces. Here is a short list of these theories\, tha t have all followed the Floer theory\, but in contexts that are far more g eneral or in contexts that seem a priori radically di fferent:\n- The Flo er theory itself on Lagrangian submanifolds that has led to two universal theories: the one by Fukaya-Oh-Ohta-Ono which is a contravariant theory\, and the covariant Cornea-Lalonde Cluster theory developed more recently an d independently.\n- The Embedded Contact Homology introduced by Hutchings \, that has had several far reaching applications: the proof of the full W einstein conjecture on Contact manifolds\, the construction of invariants\ , that are formally capacities\, associated to contact or symplectic manif olds\, and that are sharp in many cases.\n- The Symplectic fi eld theory introduced by Eliashberg\, Givental and Hofer in 2000\, that is supposed t o be the ultimate field theory in physics\, and on which there are curren t trends of research at the highest level\, especially on moduli spaces as sociated to the theory\, on compactness results and on regularity. This is exactly the kind of theory that prompted the birth of polyfolds which is still in progress and is supposed to be the ultimate theory of moduli spac es where elliptic PDE's intervene.\n- Cobordisms and rigidity of Lagrangi an submanifolds: this is a theory developed by Biran-Cornea that shows tha t monotone Lagrangian submanifolds enjoy a form of strong rigidity\, which is absent from general theories. For instance\, the fact of preserving th e monotonicity through Lagrangian surgeries imposes a hard constraint that makes the whole monotone cobordism theory appealing\, with many applicati ons.\n- The first Floer homology was the instanton Floer homology for 3- manifolds\, which has been introduced by Floer himself in connection with Donaldson theory\, and is obtained using the Chern-Simons functional on th e space of connections on a principal SU(2)-bundle. A similar Floer theory has been developed in connection with Seiberg-Witten (monopole) 4-dimensi onal invariants. In general\, the Floer homology associated with a 4-dimen sional gauge theory is the target of the corresponding relative invariant (defi ned for 4-manifolds with boundary). New important developments conce rn applications of these Floer theories and their relations with other hom ology theories for 3-manifolds: embedded contact homology\, Heegaard-Floer homology and Khovanov homology. In order to present the basic elements of these theories\, the best experts were invited to give courses during the 1- week workshop.\n\n\n\n\n \n\nSCIENTIFIC &\; ORGANIZING COMMITTEE\ n\n\n Octav Cornea (Université de Montreal)\n Urs Frauenfelder (Seoul National University)\n François Lalonde (Université de Montréal & \; Aix-Marseille Université)\n Claude Viterbo (ENS Paris)\n Andrei Tel eman (Aix-Marseille Université)\n\n\n\nSPEAKERS\n\n\n Mohammed Aouzaid  (Columbia University)\n\nLagrangian Floer Cohomology in Families\n\n Pa ul Biran (ETH Zurich)\n\nLagrangian Topology and Cobordisms\n\n Alexandr u Oancea (UPMC Paris)\n\nStructure and Applications of Symplectic Homolo gy\n\n Leonid Polterovich (Tel Aviv)University - VIDEOS\n\nPersistence Modules and Hamiltonian Diffeomorphisms\n\n Jean-Yves Welschinger (CNRS\ , Université Lyon 1)\n\nTopology of Random Nodal Sets\n\n\n\n\n\n\n\n\n\n \n\n\n\n\n\n\n\n\n\n\n \n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n \n\n CATEGORIES:Manifestation scientifique,Morlet Chair Semester,Morlet School END:VEVENT BEGIN:VTIMEZONE TZID:Europe/Paris X-LIC-LOCATION:Europe/Paris BEGIN:DAYLIGHT DTSTART:20150329T030000 TZOFFSETFROM:+0100 TZOFFSETTO:+0200 TZNAME:CEST END:DAYLIGHT END:VTIMEZONE END:VCALENDAR