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:8058@i2m.univ-amu.fr DTSTART;TZID=Europe/Paris:20150601T000000 DTEND;TZID=Europe/Paris:20150605T000000 DTSTAMP:20241211T153013Z URL:https://www.i2m.univ-amu.fr/evenements/moduli-spaces-in-symplectic-top ology-and-in-gauge-theory-morlet-chair-francois-lalonde/ SUMMARY:Conference (CIRM\, Luminy\, Marseille): Moduli Spaces in Symplectic Topology and in Gauge Theory (Morlet Chair - François Lalonde) DESCRIPTION:Conference: \n\n\n\n CIRM - Jean-Morlet Chair \n François Lalo nde &\; Andrei Teleman\n\nModuli Spaces in Symplectic Topology and Gau ge Theory​\n\nEspaces de modules en topologie symplectique et théorie de Jauge\n\n\n 2015-Semester 2 \n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nMAIN CONFERENCE\nModuli Spaces in Symplectic Topology and in Gauge Theory (1256 )\nEspaces de modules en topologie symplectique et théorie de Jauge\nDate s: 1-5 June 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\n SCHEDULE \n\n\n\n\n\n PARTICIPANTS \n\n\n\n\n\n ABSTRACTS \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​\nSymplectic topology can be considered as the mathematical versant of String theory. They were discovered independently at the same time in the 80's. The second one is a fantastic enterprise to unify low-scale and hig hscale physics\, while the first one was born as a tool to resolve the ex traordinarily difficult problems of closed orbits in non-integrable gener ic Hamiltonian systems (the famous Arnold and Weinstein conjectures). Sinc e that time\, both theories have developed into a far reaching mathematica l endeavour and much of today's attention from the geometers across the wo rld is directed towards the many conjectures of Symplectic Topology. Sympl ectic Topology is\, together with Number Theory\, the only field that see ms able to produce very simple conjectures that are notoriously hard to pr ove. It is also the only theory\, to our knowledge\, that produces deep an d rich moduli spaces at such a pace! This workshop will bring together the best specialists in the world around the problems of moduli spaces in Sym plectic topology and Gauge theory. These rich moduli spaces are always set up to de fine functors or morphisms depending on pertinent non-linear ell iptic PDE's configurations \, often coupled with trees of Morse flows. Our understanding of these moduli spaces is based on (1) the appropriate sett ing for these moduli spaces to get the right compactifi cation needed (of which Uhlenbeck's and the Gromov's compacti fication theorems are just the very first basic blocks)\, and (2) the construction of the algebraic str uctures that prevail in these moduli spaces and that\, ultimately\, govern the whole Floer-SFT-like theory. So the workshop was divided along these lines in the following way:\n1. Analytic foundations and applications to dynamics.\nThat part of the workshop focused on the following three subjec ts that are in fast development:\na. Analytical foundations of Symplectic Field Theory. The main development in this direction is that the monumenta l work of Hofer-Wisocki-Zehnder is now reaching cruising speed and is now starting to be understood and applied by more and more researchers. In par ticular\, it is expected that in a few years the foundations of the variou s symplectic fi eld theories will become solid.\nb. Closed orbits of Hamil tonian flows\, symplectic dynamics and Seiberg-Witten Floer homology. A nu mber of spectacular results have been obtained recently in this direction. For instance\, Taubes' proof of the Weinstein conjecture is related to th e embedded contact homology of Hutchings\, and extensions of his proof of this conjecture yielded the famous isomorphism between embedded contact ho mology and Seiberg-Witten Floer homology.\nAnother application of the theo ry is Ginzburg's proof of the Conley conjecture. In a di fferent direction \, we mentioned the dynamical perspective on the study of groups of Hamilt onian   di ffeomorphisms provided by the "quasi-morphisms" work of Entov -Polterovich.\nc. Mean curvature flows for Lagrangian submanifolds. This i s a direction that only is starting to get on the "screen" these days but will become quite signi cant in the years to come. It is concerned with pr operties of the mean curvature flows applied to Lagrangian submanifolds as discussed in the work of Yau\, Joyce\, Smoczyk\, Schwarz\, Neves\, Tian a nd others.2. Algebraic structures and ramifi cations.\nThere are three su bjects in this direction that were discussed:\na. Further algebraic struct ures. The complexity of algebraic structures used today in symplectic topo logy is quite high but even more sophisticated constructions are attempted these days by various authors\, especially Fukaya et al.\, Eliashberg and collaborators\, Seidel\, Abouzaid\, Auroux in particular. This is sometim es done in relation to Mirror Symmetry (Seidel\, Abouzaid\, Auroux ) or in relation to Lagrangian topology (for instance by Cornea-Lalonde\, Biran-C ornea\, Hu-Lalonde).\nb. Enumerative invariants for Lagrangian submanifold s. A topic of much interest these days\, these constructions are reflected in work on "real" symplectic topology as pursued by Welschinger\, Solomon and others. There are also other developments in the Calabi-Yau case (by Yau\, Fukaya\, Iacovino) as well as in the monotone Lagrangian case by Bir an-Cornea.\nc. Rami fications. This concerns a number of exciting relation s with a number of different other subjects which are in the process of be ing understood today. For instance\, relations with number theory as exemp li fied by recent work of McDuff -Schlenk as well as Biran-Cornea. Relatio ns with toric geometry as described in the work of Fukaya-Oh-Ohta-Ono.\n\n \n \n\nSCIENTIFIC &\; ORGANIZING COMMITTEE\n\n\n Helmut Hofer (IAS  Princeton)\n Ilia Itenberg (UPMC)\n François Lalonde (Université d e Montréal &\; Aix-Marseille Université)\n Dusa McDuff (Columbia Un iversity)\n Kaoru Ono (RIMS Kyoto)\n Leonid Polterovich (Tel Aviv) Uni versity\n Andrei Teleman (Aix-Marseille Université)\n\n\n\nSPEAKERS\n\n \n Mohammed Abouzaid (Columbia University) - VIDEO\n\nNearby Lagrangian s are Simply Homotopic\n\n Matthew Strom Borman (Stanford University)\n\ nQuantum Cohomology via Symplectic Cohomology\n\n Kai Cieliebak (Univers ity of Augsburg) - VIDEO\n\nOn a Question by Michele Audin\n\n Octav Cor nea (Université de Montréal)\n\nTwo Tales from the Frontier\n\n Michae l Entov (Technion)\n\nUnobstructed Symplectic Packing for Tori\n\n Kenji  Fukaya (Simons Center)\n\nFloer Homology of 3 Manifolds with Boundary\n \n Joel Fish (Princeton University)\n\nFeral J-Curves and Minimal Subset s\n\n Sheel Ganatra (Stanford University) - VIDEO\n\nThe Floer Theory o f a Cotangent Bundle\, the String Topology of the Base\, and Calabi-Yau Ca tegories\n\n GePenka Georgieva (UPMC Paris)\n\nReal Gromov-Witten Theory \n\n Michael Hutchings (Berkeley)\n\nSymplectic Embedding Obstructions f rom Seiberg-Witten Theory via ECH\n\n Kei Irie (Kyoto University)\n\nCha in Level Operations in String Topology via de Rham Chains\n\n Ailsa Keati ng (Columbia University)\n\nHomological Mirror Symmetry for singularities of type T_{p\,q\,r}\n\n Emma Murphy (MIT)\n\nExistence of Liouville Str uctures on Cobordisms\n\n John Pardon (Stanford University) - VIDEO\n\n Virtual Fundamental Cycles and Contact Homology\n\n\n Tim Perutz (Univer sity of Texas at Austin) - VIDEO\n\n​From Categories to Curve-counts in Mirror Symmetry\n\n Egor Shelukhin (Université de Montréal)\n\nAutono mous Hamiltonian Flows and Persistence Modules\n\n Nicholas Sheridan (Pr inceton University) - VIDEO\n\nCounting Curves Using the Fukaya Category\ n\n Jake Solomon (Einstein Institute of Mathematics) - VIDEO\n\nThe Deg enerate Special Lagrangian Equation\n\n Claude Viterbo (ENS\, Paris)\n\n TBA\n\n Chris Wendl (UCL London)\n\nSpine Removal Surgery and its Appli cations\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:Colloque,Morlet Chair Semester 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