Symplectic field theory and its applications
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Title 
Symplectic field theory and its applications

Title of Series  
Number of Parts 
33

Author 

License 
CC Attribution 3.0 Germany:
You are free to use, adapt and copy, distribute and transmit the work or content in adapted or unchanged form for any legal purpose as long as the work is attributed to the author in the manner specified by the author or licensor. 
Identifiers 

Publisher 
Instituto de Ciencias Matemáticas (ICMAT)

Release Date 
2006

Language 
English

Content Metadata
Subject Area  
Abstract 
Symplectic field theory (SFT) attempts to approach the theory of holomorphic curves in symplectic manifolds (also called GromovWitten theory) in the spirit of a topological field theory. This naturally leads to new algebraic structures which seems to have interesting applications and connections not only in symplectic geometry but also in other areas of mathematics, e.g. topology and integrable PDE. In this talk we sketch out the formal algebraic structure of SFT and discuss some current work towards its applications.

Keywords 
symplectic and contact manifolds
J holomorphic curves
GromovWitten invariants
symplectic field theory

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Computer animation
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Computer animation
Meeting/Interview
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Ladies and gentlemen it is my honor and my great pleasure to introduce decor forget their very generous with completion national treasure got his Ph.D. 1972 remain grad nasty bidders will begin under the supervision of Let me retire told of his dissertation woes singularities of mapping Nash a took kit
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Officer position at 6 feet being there Camira public after a difficult period from months summer tonight to 1987 It was allowed 3 rate from the USSR a United States of America in 1987 visited mother was Sciences Research Institute Imus are in 1988 enjoying the mathematics department of Stanford University 1989 where he has been ever seen he now chairs the bottom of the present area researcher gesture Judge Merrick Victor topology the discipline that rule from the contested Deborah months ticket geometry underwent in the last 30 years
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Under the influence of many people particularly Hyampom off but also Because of the Porsche from article physics Simplex job 3 really appeared As a geometry when your kind emit more clearly shows freed icon of aging all 18 on Nevada he assumed Among and then was fully established by Stern William Hamilton with Carnival contributions by dark winter could be in the 2nd part of the 19th century and the local content of the theory was completely uncovered the beauty of the series praised by Fiji's signed his introduction of real mathematics of the 19th century but . its usefulness the emergence of quantum mechanics in 1920 gave a major impetus for food developments of the theory and shoulders relevance for a wide area reputation The shift toward global subjecting geometry do some more time 1st major step was taken by Eugenio cannot be in the 1960 use but it is my Hyampom turned things around somewhat later by exhibiting completely new rigidity properties of automotive them simply manifold conjecture by got me back down over number fixed point of simply Dakota more reserves Also in Royal Dutch guess started to be interested in Greece Problems in 1979 and time Conley lanes and approved solved most conjecture posters further important evidence on due to the directed Andreas floor
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