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Symplectic Geometry Seminar

kummer

Spring Semester 2012

Archive

SS 12 AS 11 SS 11 AS 10 SS 10 AS 09

Organiser(s)

Date Speaker Title Time Location
8-feb-2012 (wed)
Johannes Walcher
Arithmetic of normal functions and mirror symmetry 15:15-16:30 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.
Speakers:

Prof. Dr. Johannes Walcher (McGill University, Canada)

20-feb-2012 (mon)
Georgios Rizell
Knotted Legendrian surfaces with few Reeb chords 15:15-16:30 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.
Speakers:

Georgios Rizell (Uppsala University, Sweden)

27-feb-2012 (mon)
Paolo Rossi
Non equivariant contact homology revisited: a Poisson-Nijenhuis structure in SFT 15:15-16:30 HG G 43
Speakers:

Paolo Rossi (University of Zurich)

 

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