Departement Mathematik

Symplectic geometry seminar

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Frühjahrssemester 2014

Datum / Zeit Referent:in Titel Ort
24. Februar 2014
15:15-16:30 		Dietmar Salamon
ETH Zürich
Details

Symplectic Geometry Seminar

Titel GIT and the moment-weight inequality
Referent:in, Affiliation Dietmar Salamon, ETH Zürich
Datum, Zeit 24. Februar 2014, 15:15-16:30
Ort HG G 43
Abstract In this lecture I will explain the moment-weight inequality, and its role in the proof of the Hilbert-Mumford numerical criterion for stability. The setting is Hamiltonian group actions on closed Kaehler manifolds. The moment-weight inequality relates the Mumford numerical invariants to the norm of the moment map on the complexified group orbit. Key ingredients in the proof are the negative gradient flow of the moment map squared and the Kemp-Ness function. This is joint work with Valentina Georgoulas and Joel Robbin, based on conversations with Xiuxiong Chen, Song Sun, and Sean Paul.
GIT and the moment-weight inequalityread_more
HG G 43
3. März 2014
15:15-16:30 		Jean-Yves Welschinger
Université Lyon 1
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Symplectic Geometry Seminar

Titel Expected topology of random real algebraic submanifolds
Referent:in, Affiliation Jean-Yves Welschinger, Université Lyon 1
Datum, Zeit 3. März 2014, 15:15-16:30
Ort HG G 43
Abstract Given a smooth projective manifold defined over the reals, what is the expected topology of a codimension k submanifold chosen at random? (as the vanishing locus of a section of some rank k holomorphic vector bundle). I will explain how the L² estimates of Hörmander make it possible to tackle this question asymptotically and in particular to estimate its Betti numbers. This is a joint work with Damien Gayet.
Expected topology of random real algebraic submanifoldsread_more
HG G 43
10. März 2014
15:15-16:30 		Igor Uljarevic
ETH Zürich
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Symplectic Geometry Seminar

Titel Floer homology for symplectomorphisms of a Liouville domain and applications
Referent:in, Affiliation Igor Uljarevic, ETH Zürich
Datum, Zeit 10. März 2014, 15:15-16:30
Ort HG G 43
Floer homology for symplectomorphisms of a Liouville domain and applications
HG G 43
17. März 2014
15:15-16:30 		Baptiste Chantraine
Université de Nantes
Details

Symplectic Geometry Seminar

Titel On the topology of Lagrangian cobordisms between Legendrian submanifolds.
Referent:in, Affiliation Baptiste Chantraine, Université de Nantes
Datum, Zeit 17. März 2014, 15:15-16:30
Ort HG G 43
Abstract A Lagrangian cobordism from a Legendrian submanifold $\Lambda^-$ to a Legendrian submanifold $\Lambda^+$ is an exact Lagrangian submanifold in the symplectisation of a jet space which coincide with the cylinder over the respective Legendrian submanifold near $\pm\infty$. We will discuss various restrictions on the topology of such a Lagrangian submanifolds when the negative end admits an augmentation. Such restriction are obtained by studying an exact sequence relating the singular homology of $\Sigma$ with the Legendrian contact homology of the ends obtain by generalising a construction of T. Ekholm. All preliminary definitions will be given. This is joint work with P. Ghiggini, R. Golovko and G. Rizell.
On the topology of Lagrangian cobordisms between Legendrian submanifolds.read_more
HG G 43
24. März 2014
15:15-16:30
Details

Symplectic Geometry Seminar

Titel Title T.B.A.
Referent:in, Affiliation
Datum, Zeit 24. März 2014, 15:15-16:30
Ort HG G 43
Title T.B.A.
HG G 43
31. März 2014
15:15-16:30 		Francois Charette
ETH Zürich
Details

Symplectic Geometry Seminar

Titel Lagrangian suspension = Seidel representation
Referent:in, Affiliation Francois Charette, ETH Zürich
Datum, Zeit 31. März 2014, 15:15-16:30
Ort HG G 43
Abstract I will explain how a functor recently introduced by Biran and Cornea allows one to identify the Lagrangian suspension of Polterovich with the Lagrangian Seidel morphism of Hu-Lalonde. Then, we will see how this can be used to generate examples of Lagrangian cobordisms from a Lagrangian to itself which are pairwise distinct. This is joint work with Octav Cornea.
Lagrangian suspension = Seidel representationread_more
HG G 43
7. April 2014
15:15-16:30 		Thomas Walpuski
Imperial College, UK
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Symplectic Geometry Seminar

Titel G2–instantons and the Seiberg–Witten equation with n spinors in dimension three
Referent:in, Affiliation Thomas Walpuski, Imperial College, UK
Datum, Zeit 7. April 2014, 15:15-16:30
Ort HG G 43
Abstract In 1998 Donaldson–Thomas proposed to construct enumerative invariants for G2–manifolds by counting associative submanifolds and/or G2–instantons. Over the last years it has become clear that such an invariant (if it exists at all) has to be a weighted count of a range of objects between associative submanifolds and G2–manifolds. After reviewing the salient features of G2–geometry, I will describe an approach to constructing a coherent system of weights using a version of the Seiberg–Witten equation in dimension three, and discuss some work in progress with Andriy Haydys on the analysis of this equation.
G2–instantons and the Seiberg–Witten equation with n spinors in dimension threeread_more
HG G 43
14. April 2014
15:15-16:30 		Cedric Membrez
ETH Zürich
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Symplectic Geometry Seminar

Titel The Lagrangian cubic equation
Referent:in, Affiliation Cedric Membrez, ETH Zürich
Datum, Zeit 14. April 2014, 15:15-16:30
Ort HG G 43
The Lagrangian cubic equation
HG G 43
21. April 2014
15:15-16:30
Details

Symplectic Geometry Seminar

Titel Title T.B.A.
Referent:in, Affiliation
Datum, Zeit 21. April 2014, 15:15-16:30
Ort HG G 43
Title T.B.A.
HG G 43
28. April 2014
15:15-16:30
Details

Symplectic Geometry Seminar

Titel Title T.B.A.
Referent:in, Affiliation
Datum, Zeit 28. April 2014, 15:15-16:30
Ort HG G 43
Title T.B.A.
HG G 43
5. Mai 2014
15:15-16:30 		Alex Ritter
Oxford University
Details

Symplectic Geometry Seminar

Titel Symplectic cohomology via circle-actions, and generation results for Fukaya categories
Referent:in, Affiliation Alex Ritter, Oxford University
Datum, Zeit 5. Mai 2014, 15:15-16:30
Ort HG G 43
Abstract I will explain how Hamiltonian circle actions on non-compact symplectic manifolds give rise to generators and relations in the symplectic cohomology ring. In particular, if the Reeb flow at infinity arises from a Hamiltonian circle-action, then the symplectic cohomology is a quotient of quantum cohomology. For example this applies to negative line bundles. In the case of toric negative line bundles, this yields an explicit presentation of the quantum and symplectic cohomologies, and one obtains generators for the wrapped Fukaya category when the superpotential is a Morse function. A key ingredient is the open-closed string map and a generation criterion obtained in joint work with Ivan Smith.
Symplectic cohomology via circle-actions, and generation results for Fukaya categoriesread_more
HG G 43
12. Mai 2014
15:15-16:30 		Barney Bramham
Bochum University
Details

Symplectic Geometry Seminar

Titel Some applications of holomorphic foliations to Hamiltonian disk maps
Referent:in, Affiliation Barney Bramham, Bochum University
Datum, Zeit 12. Mai 2014, 15:15-16:30
Ort HG G 43
Abstract I will present some results, and discuss ongoing work, on the dynamics of Hamiltonian disk maps that result from taking limits of foliations by pseudo-holomorphic curves.
Some applications of holomorphic foliations to Hamiltonian disk mapsread_more
HG G 43
19. Mai 2014
15:15-16:30 		Janko Latschev
Universität Hamburg
Details

Symplectic Geometry Seminar

Titel Towards Viterbo functoriality for nonexact Liouville embeddings
Referent:in, Affiliation Janko Latschev, Universität Hamburg
Datum, Zeit 19. Mai 2014, 15:15-16:30
Ort HG G 43
Towards Viterbo functoriality for nonexact Liouville embeddings
HG G 43
26. Mai 2014
15:15-16:30 		Janko Latschev
Universität Hamburg
Details

Symplectic Geometry Seminar

Titel Overtwisted contact structures in all dimensions according to Borman, Eliashberg and Murphy
Referent:in, Affiliation Janko Latschev, Universität Hamburg
Datum, Zeit 26. Mai 2014, 15:15-16:30
Ort HG G 43
Overtwisted contact structures in all dimensions according to Borman, Eliashberg and Murphy
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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