Invited speakers
D. Auroux | |
Y.-G. Oh | |
J. Bryan | |
B. Siebert |
A. Stipsicz | |
P. Ozsvath | |
R. Gompf | |
R. Fintushel |
Y. Eliashberg | |
R. Matveyev | |
B. Ozbagci | |
A. Bertram |
D. Freed | |
P. Feehan | |
G. Mikhalkin | |
I. Smith |
R. Donagi | |
J. Sawon | |
B.-L. Wang | |
G. Matic |
A. Petrunin | |
S. Salur | |
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Scientific Committee : G.Tian, R.Stern, C. Vafa, R.Kirby, S.Akbulut
Organizing Commitee : T. Onder, T. Dereli, S. Kocak, S. Finashin
Aaron Bertram |
Counting rational curves and localization |
Justin Sawon |
TQFT and hyperkähler geometry
Rozansky and Witten proposed a 3-dimensional sigma-model whose
target space is a hyperkahler manifold. They conjectured that this theory
has an associated TQFT, with Hilbert spaces given by certain cohomology
groups of the hyperkähler manifold. On the other hand, there is a
certain modified TQFT constructed by Murakami and Ohtsuki using the
universal quantum invariant. We explain how the Rozansky-Witten TQFT can
be obtained from the latter by applying a "hyperkähler weight system"
|
Yong-Geun Oh |
Floer theory and geometry of Lagrangian submanifolds |
Grigory Mikhalkin |
Decomposition into pairs of pants in higher dimensions
A useful tool to study Riemann surfaces (complex 1-manifolds)
is their decomposition into pairs of pants. Each pair of pants
is diffeomorphic to CP1 minus 3 points.
In my talk I show that any hypersurface in a toric variety admits
a similar decomposition. The higher-dimensional version of a
pair of pants is CPn minus (n+2) hyperplanes. The first interesting
example is a decomposition of a quintic surface in CP3 (an
irreducible 4-manifold) into 125 "pairs of pants".
|
Aaron Bertram |
Counting rational curves and localization II |
Dan Freed |
The Verlinde algebra revisited |
Sema Salur |
Special Lagrangian submanifolds |
Peter Ozsvath |
Holomorphic discs and 3-manifold invariants |
Gordana Matic |
Tight contact structures and taut foliations |
Denis Auroux |
Symplectic maps to projective spaces and applications |
Ron Donagi |
G-bundles, hyperkähler manifolds, and stringy Hodge numbers |
Jim Bryan |
Multiple covers, BPS states, and integrality in
Gromov-Witten theory
The Gromov-Witten invariants of Calabi-Yau 3-folds have
been conjecturally related to the numbers of certain BPS states in
M-theory by the formula of Gopakumar and Vafa. By computing the
contributions of multiple covers of a rigid curve in the 3-fold to the
Gromov-Witten invariants, we study and verify this conjecture in series of
natural cases. This also sheds light on the relationship between the
Gromov-Witten invariants and the enumerative geometry of the 3-fold.
|
Bernd Siebert |
The symplectic isotopy problem |
Burak Ozbagci |
Commutators, Lefschetz fibrations and the signatures of bundles |
Andras Stipsicz |
Lefschetz fibrations: properties and applications |
Sergey Finashin |
Exotic knottings of surfaces in CP2 |
Robert Gompf |
Topologically characterizing symplectic manifolds |
Ivan Smith |
Lefschetz fibrations and the moduli space of curves |
Paul Feehan |
Non-abelian monopoles and Four-manifold invariants |
Rostislav Matveyev |
Lefschetz fibrations on S1xM3 |