Departement Mathematik

Symplectic geometry seminar

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Herbstsemester 2011

Datum / Zeit Referent:in Titel Ort
19. September 2011
15:15-16:30
Details

Symplectic Geometry Seminar

Titel no seminar
Referent:in, Affiliation
Datum, Zeit 19. September 2011, 15:15-16:30
Ort HG G 43
no seminar
HG G 43
26. September 2011
15:15-16:30 		Luis Haug
ETH Zurich, Switzerland
Details

Symplectic Geometry Seminar

Titel Quantum homology of real Lagrangians in Fano toric manifolds
Referent:in, Affiliation Luis Haug, ETH Zurich, Switzerland
Datum, Zeit 26. September 2011, 15:15-16:30
Ort HG G 43
Quantum homology of real Lagrangians in Fano toric manifolds
HG G 43
3. Oktober 2011
15:15-16:30 		Prof. Dr. Rahul Pandharipande
ETH Zurich, Switzerland
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Symplectic Geometry Seminar

Titel Some results and questions about virtual cycles for stable maps
Referent:in, Affiliation Prof. Dr. Rahul Pandharipande, ETH Zurich, Switzerland
Datum, Zeit 3. Oktober 2011, 15:15-16:30
Ort HG G 43
Abstract I will discuss some results, conjectures, and hopes for the behavior of the virtual cycle for stable maps. Some are for algebraic varieties, some for symplectic manifolds. Topics will include tautological classes, degeneration formulas, and the puzzling form of the Virasoro constraints.
Some results and questions about virtual cycles for stable mapsread_more
HG G 43
10. Oktober 2011
15:15-16:30 		Sheila Margherita Sandon
Nantes
Details

Symplectic Geometry Seminar

Titel On translated points of contactomorphisms
Referent:in, Affiliation Sheila Margherita Sandon, Nantes
Datum, Zeit 10. Oktober 2011, 15:15-16:30
Ort HG G 43
Abstract A point p in a contact manifold is called a translated point for a contactomorphism \phi with respect to a fixed contact form if p and \phi(p) belong to the same Reeb orbit and if the contact form is preserved at p. In my talk I will discuss a version of the Arnold conjecture for translated points of contactomorphisms, and indicate how to prove it in the case of spheres and projective spaces.
On translated points of contactomorphismsread_more
HG G 43
17. Oktober 2011
15:15-16:30 		Pierre Py
Strasbourg
Details

Symplectic Geometry Seminar

Titel Kähler groups, real hyperbolic spaces and the Cremona group
Referent:in, Affiliation Pierre Py, Strasbourg
Datum, Zeit 17. Oktober 2011, 15:15-16:30
Ort HG G 43
Abstract Starting from a classical theorem of Carlson and Toledo, we will discuss actions of fundamental groups of compact Kähler manifolds on finite or infinite dimensional real hyperbolic spaces. We will see that such actions almost always (but not always) come from surface groups. We then give an application to the study of the Cremona group. This is a joint work with Thomas Delzant.
Kähler groups, real hyperbolic spaces and the Cremona groupread_more
HG G 43
24. Oktober 2011
15:15-16:30 		Silvia Sabatini
EPFL
Details

Symplectic Geometry Seminar

Titel A Necessary Condition for Hamiltonian Circle Actions with Isolated Fixed Points
Referent:in, Affiliation Silvia Sabatini, EPFL
Datum, Zeit 24. Oktober 2011, 15:15-16:30
Ort HG G 43
Abstract For every compact symplectic manifold M with a Hamiltonian circle action and isolated fixed points, a simple algebraic identity involving the first Chern class is derived. When the manifold satisfies an extra "positivity condition", this enables us to construct an algorithm to obtain linear relations among the isotropy weights at the fixed points. If dim(M) is less than or equal to 6 and the number of fixed points is minimal, this algorithm quickly determines all the possible families of isotropy weights, simplifying the proofs due to Ahara and Tolman. In this case all the possible equivariant cohomology rings and Chern classes are determined. Joint work with Leonor Godinho, IST
A Necessary Condition for Hamiltonian Circle Actions with Isolated Fixed Pointsread_more
HG G 43
31. Oktober 2011
15:15-16:30 		Jarek Kedra
Aberdeen
Details

Symplectic Geometry Seminar

Titel Quasi-isometric embeddings into diffeomorphism groups
Referent:in, Affiliation Jarek Kedra, Aberdeen
Datum, Zeit 31. Oktober 2011, 15:15-16:30
Ort HG G 43
Abstract I will discuss the L^p metrics on diffeomorphism groups of smooth manifolds. It is known that such metrics are bounded for compact and simply connected manifolds. Assuming a suitable nontriviality of the fundamental group of a manifold M, I will construct quasi-isometric embeddings of products of free groups into Diff(M,vol). This is a joint work with Michael Brandenbursky: http://arxiv.org/abs/1108.5126
Quasi-isometric embeddings into diffeomorphism groupsread_more
HG G 43
7. November 2011
15:15-16:30 		Oliver Fabert
Freiburg
Details

Symplectic Geometry Seminar

Titel Computing descendants in SFT and stable hypersurfaces in symplectic blow-ups
Referent:in, Affiliation Oliver Fabert, Freiburg
Datum, Zeit 7. November 2011, 15:15-16:30
Ort HG G 43
Abstract After introducing gravitational descendants, symplectic field theory (SFT) assigns to each symplectomorphism an infinite number of commuting Hamiltonians, which in the Hamiltonian case leads to the well-known integrable hierarchies of GW theory. While the completeness proof from GW theory uses that descendants can be computed from invariants without descendants, in this talk I show that this is no longer true in SFT. After proving that one additionally has to count holomorphic curves with simple tangencies and giving the desired reconstruction formula, in a local version I show that the richer descendant invariants can be used to prove that exceptional spheres cannot break along hyperbolic orbits. This is partly joint work with Paolo Rossi.
Computing descendants in SFT and stable hypersurfaces in symplectic blow-upsread_more
HG G 43
14. November 2011
15:15-16:30 		Mark Hamilton
Stuttgart
Details

Symplectic Geometry Seminar

Titel Representing homology classes by symplectic surfaces
Referent:in, Affiliation Mark Hamilton, Stuttgart
Datum, Zeit 14. November 2011, 15:15-16:30
Ort HG G 43
Abstract We will explain how branched coverings can be used to show that certain homology classes in symplectic 4-manifolds cannot be represented by embedded, possibly disconnected, symplectic surfaces.
Representing homology classes by symplectic surfacesread_more
HG G 43
21. November 2011
15:15-16:30 		Luis Haug
ETH Zurich, Switzerland
Details

Symplectic Geometry Seminar

Titel Open Gromov-Witten invariants in dimension 4 (following J.-Y. Welschinger)
Referent:in, Affiliation Luis Haug, ETH Zurich, Switzerland
Datum, Zeit 21. November 2011, 15:15-16:30
Ort HG G 43
Open Gromov-Witten invariants in dimension 4 (following J.-Y. Welschinger)
HG G 43
28. November 2011
15:15-16:30 		Prof. Dr. Janko Latschev
Universität Hamburg, Germany
Details

Symplectic Geometry Seminar

Titel The Gromov width of 4-dimensional tori.
Referent:in, Affiliation Prof. Dr. Janko Latschev, Universität Hamburg, Germany
Datum, Zeit 28. November 2011, 15:15-16:30
Ort HG G 43
The Gromov width of 4-dimensional tori.
HG G 43
5. Dezember 2011
15:15-16:30
Details

Symplectic Geometry Seminar

Titel No seminar
Referent:in, Affiliation
Datum, Zeit 5. Dezember 2011, 15:15-16:30
Ort HG G 43
No seminar
HG G 43
12. Dezember 2011
15:15-16:30 		Yanki Lekili
Cambridge
Details

Symplectic Geometry Seminar

Titel Fukaya category of the punctured torus
Referent:in, Affiliation Yanki Lekili, Cambridge
Datum, Zeit 12. Dezember 2011, 15:15-16:30
Ort HG G 43
Abstract In joint work with Tim Perutz, we give a complete characterization of the exact Fukaya category of the punctured torus, denoted by Fuk(T_0). This, in particular, means that one can write down an explicit minimal model for Fuk(T_0) in the form of an A-infinity algebra, denoted by A, and classify A-infinity structures on the relevant algebra. A result that we will discuss is that no associative algebra is quasi-equivalent to the model A of the Fukaya category of the punctured torus, i.e., A is non-formal. We will then deduce that Fuk(T_0) is derived equivalent to the category of perfect complexes on an irreducible rational curve with a double point, an instance of homological mirror symmetry.
Fukaya category of the punctured torusread_more
HG G 43
19. Dezember 2011
15:15-16:30
Details

Symplectic Geometry Seminar

Titel no seminar
Referent:in, Affiliation
Datum, Zeit 19. Dezember 2011, 15:15-16:30
Ort HG G 43
no seminar
HG G 43

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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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