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Spring Semester 2014

Date / Time Speaker Title Location
24 February 2014
15:15-16:30 		Dietmar Salamon
ETH Zürich
Event Details

Symplectic Geometry Seminar

Title GIT and the moment-weight inequality
Speaker, Affiliation Dietmar Salamon, ETH Zürich
Date, Time 24 February 2014, 15:15-16:30
Location 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 March 2014
15:15-16:30 		Jean-Yves Welschinger
Université Lyon 1
Event Details

Symplectic Geometry Seminar

Title Expected topology of random real algebraic submanifolds
Speaker, Affiliation Jean-Yves Welschinger, Université Lyon 1
Date, Time 3 March 2014, 15:15-16:30
Location 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 March 2014
15:15-16:30 		Igor Uljarevic
ETH Zürich
Event Details

Symplectic Geometry Seminar

Title Floer homology for symplectomorphisms of a Liouville domain and applications
Speaker, Affiliation Igor Uljarevic, ETH Zürich
Date, Time 10 March 2014, 15:15-16:30
Location HG G 43
Floer homology for symplectomorphisms of a Liouville domain and applications
HG G 43
17 March 2014
15:15-16:30 		Baptiste Chantraine
Université de Nantes
Event Details

Symplectic Geometry Seminar

Title On the topology of Lagrangian cobordisms between Legendrian submanifolds.
Speaker, Affiliation Baptiste Chantraine, Université de Nantes
Date, Time 17 March 2014, 15:15-16:30
Location 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 March 2014
15:15-16:30
Event Details

Symplectic Geometry Seminar

Title Title T.B.A.
Speaker, Affiliation
Date, Time 24 March 2014, 15:15-16:30
Location HG G 43
Title T.B.A.
HG G 43
31 March 2014
15:15-16:30 		Francois Charette
ETH Zürich
Event Details

Symplectic Geometry Seminar

Title Lagrangian suspension = Seidel representation
Speaker, Affiliation Francois Charette, ETH Zürich
Date, Time 31 March 2014, 15:15-16:30
Location 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
Event Details

Symplectic Geometry Seminar

Title G2–instantons and the Seiberg–Witten equation with n spinors in dimension three
Speaker, Affiliation Thomas Walpuski, Imperial College, UK
Date, Time 7 April 2014, 15:15-16:30
Location 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
Event Details

Symplectic Geometry Seminar

Title The Lagrangian cubic equation
Speaker, Affiliation Cedric Membrez, ETH Zürich
Date, Time 14 April 2014, 15:15-16:30
Location HG G 43
The Lagrangian cubic equation
HG G 43
21 April 2014
15:15-16:30
Event Details

Symplectic Geometry Seminar

Title Title T.B.A.
Speaker, Affiliation
Date, Time 21 April 2014, 15:15-16:30
Location HG G 43
Title T.B.A.
HG G 43
28 April 2014
15:15-16:30
Event Details

Symplectic Geometry Seminar

Title Title T.B.A.
Speaker, Affiliation
Date, Time 28 April 2014, 15:15-16:30
Location HG G 43
Title T.B.A.
HG G 43
5 May 2014
15:15-16:30 		Alex Ritter
Oxford University
Event Details

Symplectic Geometry Seminar

Title Symplectic cohomology via circle-actions, and generation results for Fukaya categories
Speaker, Affiliation Alex Ritter, Oxford University
Date, Time 5 May 2014, 15:15-16:30
Location 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 May 2014
15:15-16:30 		Barney Bramham
Bochum University
Event Details

Symplectic Geometry Seminar

Title Some applications of holomorphic foliations to Hamiltonian disk maps
Speaker, Affiliation Barney Bramham, Bochum University
Date, Time 12 May 2014, 15:15-16:30
Location 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 May 2014
15:15-16:30 		Janko Latschev
Universität Hamburg
Event Details

Symplectic Geometry Seminar

Title Towards Viterbo functoriality for nonexact Liouville embeddings
Speaker, Affiliation Janko Latschev, Universität Hamburg
Date, Time 19 May 2014, 15:15-16:30
Location HG G 43
Towards Viterbo functoriality for nonexact Liouville embeddings
HG G 43
26 May 2014
15:15-16:30 		Janko Latschev
Universität Hamburg
Event Details

Symplectic Geometry Seminar

Title Overtwisted contact structures in all dimensions according to Borman, Eliashberg and Murphy
Speaker, Affiliation Janko Latschev, Universität Hamburg
Date, Time 26 May 2014, 15:15-16:30
Location HG G 43
Overtwisted contact structures in all dimensions according to Borman, Eliashberg and Murphy
HG G 43

Note: if you want you can subscribe to the iCal/ics Calender.

Organizers: Paul Biran, Ana Cannas da Silva, Dietmar Salamon

Archive: SS 24 AS 23 SS 23 AS 22 SS 22 SS 21 AS 20 SS 20 AS 19 SS 19 AS 18 SS 18 AS 17 SS 17 AS 16 SS 16 AS 15 SS 15 AS 14 SS 14 AS 13 SS 13 AS 12 SS 12 AS 11 SS 11 AS 10 SS 10 AS 09 WS 03/04 WS 99/00

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