Departement Mathematik

Symplectic geometry seminar

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Herbstsemester 2015

Datum / Zeit Referent:in Titel Ort
21. September 2015
15:15-16:30 		Dietmar Salamon
ETH Zürich
Details

Symplectic Geometry Seminar

Titel An open-closed isomorphism in instanton Floer homology
Referent:in, Affiliation Dietmar Salamon, ETH Zürich
Datum, Zeit 21. September 2015, 15:15-16:30
Ort HG G 43
An open-closed isomorphism in instanton Floer homology
HG G 43
28. September 2015
15:15-16:30 		Zack Sylvan
ETH Zürich
Details

Symplectic Geometry Seminar

Titel Gluing Fukaya categories of pumpkin domains
Referent:in, Affiliation Zack Sylvan, ETH Zürich
Datum, Zeit 28. September 2015, 15:15-16:30
Ort HG G 43
Abstract I'll define a new symplectic object called a pumpkin domain and construct its Fukaya category, which simultaneously generalizes the wrapped Fukaya category of a Liouville domain and the Fukaya-Seidel category of a Lefschetz fibration. Pumpkin domains come with a natural geometric gluing operation, which at the level of Fukaya categories corresponds to a certain pushout. After describing this, I'll give some simple applications and a conjectural connection to Legendrian contact homology.
Gluing Fukaya categories of pumpkin domainsread_more
HG G 43
5. Oktober 2015
15:15-16:30 		Francois Charette
Max Plank Institute, Bonn
Details

Symplectic Geometry Seminar

Titel Quantum Reidemeister torsion and open Gromov-Witten invariants
Referent:in, Affiliation Francois Charette, Max Plank Institute, Bonn
Datum, Zeit 5. Oktober 2015, 15:15-16:30
Ort HG G 43
Abstract I will explain how torsion of the pearl complex of a monotone Lagrangian can be expressed as a rational function of certain open Gromov-Witten invariants. Along the way, we will see new restrictions on the topology of displaceable Lagrangian 3-manifolds.
Quantum Reidemeister torsion and open Gromov-Witten invariantsread_more
HG G 43
12. Oktober 2015
15:15-16:15 		Yoel Groman
ETH Zürich
Details

Symplectic Geometry Seminar

Titel Floer theory on geometrically bounded symplectic manifolds
Referent:in, Affiliation Yoel Groman, ETH Zürich
Datum, Zeit 12. Oktober 2015, 15:15-16:15
Ort HG G 43
Abstract Symplectic cohomology is a version of Hamiltonian Floer homology applied to symplectic manifolds which are not closed. It comes in a relative version due to Ciliebak, Floer, and Hofer, and an absolute version due to Viterbo. These have been defined in a limited number of settings. One application of symplectic cohomolgy is a proof of the Weistein conjecture for \C^n. I will describe a symplectically invariant construction which extends both versions to geometrically bounded symplectic manifolds. The relation between the two versions will be discussed. I will discuss applications to the Weistein conjecture.
Floer theory on geometrically bounded symplectic manifoldsread_more
HG G 43
19. Oktober 2015
15:15-16:30 		Kai Cieliebak
Universität Augsburg
Details

Symplectic Geometry Seminar

Titel On a question by Michele Audin
Referent:in, Affiliation Kai Cieliebak, Universität Augsburg
Datum, Zeit 19. Oktober 2015, 15:15-16:30
Ort HG G 43
Abstract This talk is about joint work with Klaus Mohnke, in which we give an affirmative answer to a question by Michele Audin: Each (not necessarily monotone) Lagrangian torus in linear symplectic space has minimal Maslov number two. The main ingredient in the proof is a transversality result for punctured holomorphic curves, which is established using domain-dependent perturbations and Donaldson's symplectic hypersurfaces.
On a question by Michele Audinread_more
HG G 43
26. Oktober 2015
15:15-16:30 		Berit Singer
ETH Zürich
Details

Symplectic Geometry Seminar

Titel On Exotic Lagrangian Tori in CP^2- following work of R. Vianna
Referent:in, Affiliation Berit Singer, ETH Zürich
Datum, Zeit 26. Oktober 2015, 15:15-16:30
Ort HG G 43
On Exotic Lagrangian Tori in CP^2- following work of R. Vianna
HG G 43
2. November 2015
15:15-16:30
Details

Symplectic Geometry Seminar

Titel No seminar
Referent:in, Affiliation
Datum, Zeit 2. November 2015, 15:15-16:30
Ort
No seminar
9. November 2015
15:14-16:30 		Igor Uljarevic
ETH Zürich
Details

Symplectic Geometry Seminar

Titel An extension of Viterbo's functoriality and applications
Referent:in, Affiliation Igor Uljarevic, ETH Zürich
Datum, Zeit 9. November 2015, 15:14-16:30
Ort HG G 43
An extension of Viterbo's functoriality and applications
HG G 43
16. November 2015
15:15-16:30 		Vadim Kaloshin
University of Maryland
Details

Symplectic Geometry Seminar

Titel Birkhoff Conjecture for convex planar billiards and deformational spectral rigidity of planar domains
Referent:in, Affiliation Vadim Kaloshin, University of Maryland
Datum, Zeit 16. November 2015, 15:15-16:30
Ort HG G 43
Abstract The classical Birkhoff conjecture states that the only integrable convex planar domains are circles and ellipses. In a joint work with A. Avila and J. De Simoi we show that this conjecture is true for perturbations of ellipses of small eccentricity. It turns out that the method of proof gives an insight into deformational spectral rigidity of planar axis symmetric domains. The latter is a joint work with J. De Simoi and Q. Wei.
Birkhoff Conjecture for convex planar billiards and deformational spectral rigidity of planar domainsread_more
HG G 43
23. November 2015
15:15-16:30
Details

Symplectic Geometry Seminar

Titel No seminar
Referent:in, Affiliation
Datum, Zeit 23. November 2015, 15:15-16:30
Ort
No seminar
30. November 2015
15:15-16:30 		Dmitry Tonkonog
Cambridge University
Details

Symplectic Geometry Seminar

Titel Circle actions and the Fukaya category
Referent:in, Affiliation Dmitry Tonkonog, Cambridge University
Datum, Zeit 30. November 2015, 15:15-16:30
Ort HG G 43
Abstract The talk will be about Fukaya algebras of monotone Lagrangian submanifolds which have a Hamiltonian circle symmetry. Namely, I will compute a "topological piece" of the closed-open string map into the Hochschild cohomology of such Lagrangians, and talk about applications: split-generation and non-formality results for real Lagrangian submanifolds of some toric varieties.
Circle actions and the Fukaya categoryread_more
HG G 43
7. Dezember 2015
15:15-16:30
Details

Symplectic Geometry Seminar

Titel No seminar
Referent:in, Affiliation
Datum, Zeit 7. Dezember 2015, 15:15-16:30
Ort
No seminar
14. Dezember 2015
15:15-16:30
Details

Symplectic Geometry Seminar

Titel No seminar
Referent:in, Affiliation
Datum, Zeit 14. Dezember 2015, 15:15-16:30
Ort
No seminar

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