Departement Mathematik

Symplectic geometry seminar

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Frühjahrssemester 2012

Datum / Zeit Referent:in Titel Ort
8. Februar 2012
15:15-16:30 		Prof. Dr. Johannes Walcher
McGill University, Canada
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Symplectic Geometry Seminar

Titel Arithmetic of normal functions and mirror symmetry
Referent:in, Affiliation Prof. Dr. Johannes Walcher, McGill University, Canada
Datum, Zeit 8. Februar 2012, 15:15-16:30
Ort HG G 43
Abstract Hodge theory, via mirror symmetry, has been making enumerative predictions about Gromov-Witten theory of Calabi-Yau threefolds. In particular, normal functions attached to algebraic cycles contain information about "numbers" of holomorphic discs ending on Lagrangian submanifolds. The most recent calculations concern algebraic cycles defined over finite extensions of the rational numbers. Still, there is convincing evidence (and a fair number of excuses) that the resulting invariants must admit an enumerative interpretation on the symplectic side. This interpretation will involve a new, arithmetic, twist of the di-logarithm: The D-logarithm.
Arithmetic of normal functions and mirror symmetryread_more
HG G 43
20. Februar 2012
15:15-16:30 		Georgios Rizell
Uppsala University, Sweden
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Symplectic Geometry Seminar

Titel Knotted Legendrian surfaces with few Reeb chords
Referent:in, Affiliation Georgios Rizell, Uppsala University, Sweden
Datum, Zeit 20. Februar 2012, 15:15-16:30
Ort HG G 43
Abstract For g > 0, we construct g + 1 Legendrian embeddings of a surface of genus g into standard contact R^5 which lie in pairwise distinct Legendrian isotopy classes and which all have g + 1 transverse Reeb chords (g + 1 is the minimal number of chords for Legendrian surfaces which admit a linearization of its Legendrian contact homology). We investigate these surfaces from the point-of-view of Legendrian contact homology as well as generating families. Gradient flow trees are used for computing the differentials.
Knotted Legendrian surfaces with few Reeb chordsread_more
HG G 43
27. Februar 2012
15:15-16:30 		Paolo Rossi
University of Zurich
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Symplectic Geometry Seminar

Titel Non equivariant contact homology revisited: a Poisson-Nijenhuis structure in SFT
Referent:in, Affiliation Paolo Rossi, University of Zurich
Datum, Zeit 27. Februar 2012, 15:15-16:30
Ort HG G 43
Non equivariant contact homology revisited: a Poisson-Nijenhuis structure in SFT
HG G 43
19. März 2012
15:15-16:15 		Jonathan Evans
ETH Zürich
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Symplectic Geometry Seminar

Titel Pseudoholomorphic curves and nilpotent Lie algebras
Referent:in, Affiliation Jonathan Evans, ETH Zürich
Datum, Zeit 19. März 2012, 15:15-16:15
Ort HG G 43
Pseudoholomorphic curves and nilpotent Lie algebras
HG G 43
26. März 2012
15:15-16:30 		Dietmar Salamon
ETH Zürich
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Symplectic Geometry Seminar

Titel Combinatorial Floer homology
Referent:in, Affiliation Dietmar Salamon, ETH Zürich
Datum, Zeit 26. März 2012, 15:15-16:30
Ort HG G 43
Abstract Lagrangian Floer homology is an invariant associated, under favourable assumptions, to a pair of Lagrangian submanifolds of a symplectic manifold. The talk discusses a combinatorial approach to Floer theory in the simplest possible setting of two embedded circles in a Riemann surface. It is based on joint work with Vin de Silva and Joel Robbin.
Combinatorial Floer homologyread_more
HG G 43
2. April 2012
15:15-16:30 		Felix Schlenk
Université de Neuchâtel
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Symplectic Geometry Seminar

Titel S^1-equivariant Floer homology for hypersurfaces
Referent:in, Affiliation Felix Schlenk, Université de Neuchâtel
Datum, Zeit 2. April 2012, 15:15-16:30
Ort HG G 43
Abstract We define an S^1-equivariant version of the Floer homology for contact hypersurfaces constructed by Cieliebak and Frauenfelder, and show that this homology vanishes if the hypersurface can be displaced from itself by a Hamiltonian isotopy. This gives obstructions to exact contact embeddings, and sheds some light on the "index positivity problem" for contact hypersurfaces. This is work in progress with Urs Frauenfelder.
S^1-equivariant Floer homology for hypersurfacesread_more
HG G 43
23. April 2012
15:15-16:30 		Viktor Ginzburg
UC Santa Cruz, USA
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Symplectic Geometry Seminar

Titel Action-index relations for Hamiltonian dynamical systems
Referent:in, Affiliation Viktor Ginzburg, UC Santa Cruz, USA
Datum, Zeit 23. April 2012, 15:15-16:30
Ort HG G 43
Abstract In this talk we discuss Hamiltonian diffeomorphisms with finitely many periodic orbits. We show that, under suitable additional hypotheses on the ambient manifold, the actions and mean indexes of periodic orbits of such a diffeomorphism must satisfy certain relations. The talk is based on joint work with Basak Gurel and Mike Chance.
Action-index relations for Hamiltonian dynamical systemsread_more
HG G 43
30. April 2012
15:15-16:30 		Peter Albers
Universität Münster
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Symplectic Geometry Seminar

Titel Periodic bounce orbits of prescribed energy
Referent:in, Affiliation Peter Albers, Universität Münster
Datum, Zeit 30. April 2012, 15:15-16:30
Ort HG G 43
Abstract This is joint work with Marco Mazzucchelli. Periodic bounce orbits are generalizations of billiard trajectories in the presence of a potential. Using an approximation technique by Benci-Giannoni we prove existence of periodic bounce orbits of prescribed energy. At the end of the talk I will sketch very recent work in which we allow much more general Lagrangian systems including magnetic and Finsler billiards.
Periodic bounce orbits of prescribed energyread_more
HG G 43
14. Mai 2012
15:15-16:30 		Dietmar Salamon
ETH Zurich
Details

Symplectic Geometry Seminar

Titel Hyperkaehler Floer theory, the Fueter equation, and divergence free frames
Referent:in, Affiliation Dietmar Salamon, ETH Zurich
Datum, Zeit 14. Mai 2012, 15:15-16:30
Ort HG G 43
Abstract A divergence free frame on a closed three manifold is called regular if every solution of the linear Fueter equation is constant and is called singular otherwise. The set of singular divergence free frames is an analogue of the Maslov cycle. Regular divergence free frames satisfy an analogue of the Arnold conjecture for flat hyperkaehler target manifolds. The Seiberg-Witten equations can be viewed as gauged versions of the Fueter equation, and so can the Donaldson-Thomas equations on certain seven dimensional product manifolds.
Hyperkaehler Floer theory, the Fueter equation, and divergence free framesread_more
HG G 43
21. Mai 2012
15:15-16:15 		Dr. Ana Cannas da Silva
ETH Zürich
Dr. Meike Akveld
ETH Zurich, Switzerland
Details

Symplectic Geometry Seminar

Titel Lagrangian correspondences - a toric case study
Referent:in, Affiliation Dr. Ana Cannas da Silva, ETH Zürich
Dr. Meike Akveld, ETH Zurich, Switzerland
Datum, Zeit 21. Mai 2012, 15:15-16:15
Ort HG G 43
Abstract This is a review talk given jointly by Meike Akveld and Ana Cannas da Silva.
Lagrangian correspondences - a toric case studyread_more
HG G 43

Hinweise: wenn Sie möchten, können Sie den iCal/ics-Kalender abonnieren.

Organisatoren:innen: Paul Biran, Ana Cannas da Silva, Dietmar Salamon

Archiv: FS 24 HS 23 FS 23 HS 22 FS 22 FS 21 HS 20 FS 20 HS 19 FS 19 HS 18 FS 18 HS 17 FS 17 HS 16 FS 16 HS 15 FS 15 HS 14 FS 14 HS 13 FS 13 HS 12 FS 12 HS 11 FS 11 HS 10 FS 10 HS 09 WS 03/04 WS 99/00

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