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UID:8053@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20150608T000000
DTEND;TZID=Europe/Paris:20150612T000000
DTSTAMP:20241120T210008Z
URL:https://www.i2m.univ-amu.fr/evenements/recent-challenges-in-contact-ge
 ometry-morlet-chair-francois-lalonde/
SUMMARY:Small group (CIRM\, Luminy\, Marseille): Recent Challenges in Conta
 ct Geometry (Morlet Chair - François Lalonde)
DESCRIPTION:Small group: \n\n\n\n CIRM - Jean-Morlet Chair \n François Lal
 onde &amp\; Andrei Teleman\n\nModuli Spaces in Symplectic Topology and Ga
 uge 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\nSMALL GROUP\nRec
 ent Challenges in Contact Geometry (1327)\nDéfis récents en géométrie 
 de contact\nDates: 8-12 June 2015 at CIRM (Marseille\, France)\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\n
 \n\n\n\n\n\n\n\n\n\n\n\nDescription\n\nContact geometry is now developing 
 at a very high pace. Contact manifolds play fundamental roles in low dimen
 sional topology (since all 3-manifolds admit a contact structure) and in a
 ll dimensions where they are the odd dimensional analogue of symplectic ma
 nifolds. We believe that it was certainly worth exploring issues that conn
 ect Contact geometry with CR-geometry and with hard techniques in Symplect
 ic topology.\n\nRecent results of Margherita (Sheila) Sandon concern a bi-
 invariant metric on the group of contactomorphisms of an arbitrary contact
  manifold. This subject is related to the theory of orderability launched 
 by Eliashberg and Polterovich. It also relates to the contact version of t
 he Non-squeezing theorem\, a very subtle phenomenon. She has shown that th
 e rigidity behaviours in contact geometry can be understood through the so
 -called translated points. She is now working on a programme that will inv
 olve a contact version of the Arnold conjecture and the right Floer contac
 t homologies. If it works out\, this would be a major progress in the fie
 ld.\n\nOn the other hand\, recent results of Vincent Colin\, Paolo Ghiggin
 i and Ko Honda give reasonable hope to understand the structure of some co
 ntact manifolds in terms of open book decompositions\, relating the struct
 ure to the qualitative properties of the dynamics of the Reeb flow. A usef
 ul tool in this is the very recent proof (or ongoing proof) of the equival
 ence of the Heegard-Floer homology and the Embedded Contact Homology. Resu
 lts have also been obtained on the fillable or non-fillable properties o
 f contact manifolds - which is the bridge between the contact world and th
 e symplectic one (a contact manifold is llable if it the boundary of a sy
 mplectic manifold whose symplectic structure is compatible with the contac
 t structure on the boundary). Finally\, Hutchings obtained sharp lower or 
 upper bounds on the values of some basic capacities using ECH. In the ligh
 t of the equivalence of HFH and ECH\, this could pave the way to a better 
 understanding of contact capacities.\n\n\n\n\n \n\nSCIENTIFIC &amp\; ORG
 ANIZING COMMITTEE\n\n\n 	Yakov Eliashberg (Stanford University)\n 	Emmanu
 el Giroux (CNRS\, ENS Lyon)​​\n\n\n\nSPEAKERS\n\n\n 	Matthew Strom Bo
 rman (Stanford University)\n 	Frédéric Bourgeois (Université Paris-Su
 d Orsay)\n 	Roger Casals (ICMAT Madrid)\n 	Baptiste Chantraine (Universi
 té de Nantes)\n 	Vincent Colin (Université de Nantes)\n 	Sylvain Courte
  (ENS Lyon)\n 	Tobias Ekholm (University of Uppsala)\n 	Yakov Eliashberg
  (Stanford University)\n 	Maia Fraser (University of Toronto)\n 	Paolo G
 higgini (Université de Nantes)\n 	Roman Golovko (Alfred Renyi Institute 
 Budapest)\n 	Michael Hutchings (UC Berkeley)\n 	Patrick Massot (École p
 olytechnique)\n 	Emmy Murphy (MIT)\n 	Lenny Ng (Duke University)\n 	Klau
 s Niederkrüger (Université de Toulouse &amp\; Renyi Inst)\n 	John Pardo
 n (Stanford University)\n 	Sheila Sandon (Université de Strasbourg)\n 	
 Anne Vaugon (Université Paris-Sud Orsay)\n 	Chris Wendl (University Col
 lege London)\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 Small
 Group
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