SEMINAR ON SYMPLECTIC AND CONTACT GEOMETRY
Université Libre de Bruxelles
Second Semester 2005-2006
Monday 14:00-15:00
Room 2.NO.906
Wednesday, January 18
Note special day !
Vincent Colin (Nantes)
Reeb vector fields and open book decompositions : the periodic case
We prove that any contact structure supported by an open book whose monodromy
is (isotopic to) a periodic diffeomorphism satisfies the Weinstein conjecture.
The approach is to study holomorphic curves for a particularly nice Reeb
vector field. It also allows to deal with the topology of the manifold. This
is a joint work with Ko Honda.
Monday, January 23
Felix Schlenk (ULB)
Orderability and squeezing for contact transformations and domains
I
This talk initiates a workgroup on the paper
"Geometry
of contact transformations and domains: orderability vs. squeezing"
by Eliashberg, Kim and Polterovich. The first talk is an exposition
of the main results in this paper.
Monday, January 30
Petya Pushkar (IHES and Moscow State University)
Morse theory and wave fronts of legendrian links and surfaces in 1-jet
spaces of a function on a manifold
There are at least two known approaches to construct invariants of
legendrian links. One of the is based on infinite dimensional Morse
theory of wave fronts, based on the ordinary Morse theory for
generating families.
I will present a construction allowing to construct invariants for
legendrian isotopy classes, also based on Morse theory for generating
families but having a multidimensional generalization.
Monday, February 6
Otto van Koert (ULB)
Orderability and squeezing for contact transformations and
Domains II
| 13:00 |
Janko Latschev (HU Berlin) |
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Rational symplectic field theory and string topology
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It is well-known that symplectic field theory of the unit cotangent bundle
yields invariants of the underlying differentiable manifold. In this talk I
will report on ongoing joint work with Kai Cieliebak that aims to relate these
invariants to string topology in the sense of Chas and Sullivan. In
particular, I will describe a conjectural isomorphism, the strategy for its
proof and some of its consequences.
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| 14:30 |
Francisco Presas (Madrid) |
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Contact structures on loop spaces |
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We show a number of geometrical structures arising on the loop space associated
to a Riemannian manifold. Special effort is made to show the conditions to have
a Stein on it. In that case, we study the contact structure appearing in a
family of hypersurfaces of it.
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Monday, February 20
Klaus Niederkrüger (ULB)
Orderability and squeezing for contact transformations and
domains III
Monday, March 6
Fabien Ngô (ULB)
Orderability and squeezing for contact transformations and
domains IV
| 13:00 |
Kai Cieliebak (LMU München) |
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Punctured holomorphic curves and Lagrangian embeddings
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| 14:30 |
Sergei Tabachnikov (Penn State) |
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Combinatorics of fronts and Arnold's 4-conjectures
(after Chekanov and Pushkar) |
Monday, March 20
Fabien Ngô (ULB)
Orderability and squeezing for contact transformations and
domains IVb
| 13:00 |
Olga Buse (Indiana/Purdue and IHES) |
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Higher Whitehead products in symplectomorphism groups
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I will discuss topological properties of symplectomorphism groups of
symplectic ruled surfaces Σg × S². I will
overview former results of Gromov, Abreu and McDuff, and then present
a geometrical method, based on computing equivariant Gromov Witten
invariants, to detect nontrivial Whitehead products in such groups.
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| 14:30 |
Mathias Zessin (Cologne) |
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On invariant contact p-spheres |
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Monday, May 8
Yaron Ostrover (Tel Aviv)
M-ellipsoid, Symplectic Capacities and Volume
In this talk we discuss a conjecture of Viterbo relating the
symplectic capacity of a convex body and its volume. The conjecture
states that among all the 2n-dimensional convex bodies with a given
volume the Euclidian ball has maximal symplectic capacity.
In a joint work with Shiri Artstein-Avidan and Vitali Milman, we
bring together tools and ideology from Asymptotic Geometric Analysis
and verify the above conjecture up to a universal constant.
Monday, June 12
Room 2.O7.214
Note special room !
Fabien Ngô (ULB)
Homologie de Floer généralisée
Monday, June 19
Room 2.O7.214
Note special room !
Frédéric Bourgeois (ULB)
Orderability and squeezing for contact transformations and
domains V
Previous Semester :
First Semester 2005-2006
Next Semester :
First Semester 2006-2007
Maintained by
Frédéric Bourgeois.
