October 12, 2006
4:00 PM - 5:00 PM |
Dietmar Salamon, ETH Zürich
Pseudoholomorphic Curves in Symplectic Topology |
October 12, 2006
5:30 PM - 7:00 PM |
Wine-and-Cheese Welcoming Party
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October 13, 2006
09:15 AM - 12:45 PM |
Presentations by Young Researchers,
Mini-Workshop
Speakers: Joseph Johns (NYU), Dagan Karp (Berkeley), Davesh Maulik (Princeton),
Brett Parker (MIT), Rosa Sena-Dias (MIT/IST).
See the Mini-Workshop page for
the list of titles and abstracts. |
October 13, 2006
2:15 PM - 3:15 PM |
Helmut Hofer, NYU
Generalized Fredholm Theory
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October 13, 2006
3:45 PM - 4:45 PM |
Susan Tolman, UIUC
A Very Generalized Schubert Calculus
Based on joint work with R. Goldin. Schubert calculus is the calculus of
enumerative geometry. One of the main goals is to find nice combinatorial
descriptions of the structure constants of the cohomology ring of the
Grassmanian in terms of its natural geometric Shubert basis
Our goal is to consider the same question in the much broader context
of symplectic manifolds with Hamiltonian torus actions. We show that
if there exists an invariant Palais-Smale metric, then the structure
constants can be computed as a weighted sum over paths in a certain graph. |
October 13, 2006
5:00 PM - 6:00 PM |
Francois Lalonde, Montreal
Relative Capacities and a Real Quantum Product
We explore operations between the Lagrangian cluster complex and the ambiant quantum homology.
We define a notion of relative capacity and a real quantum product that should relate to
Ceyhan-Welschinger product. These ideas are related to Albers' work
and Biran-Cornea's work in CPn. Joint with Octav Cornea.
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October 13, 2006
7:00 PM - 10:00 PM
Port Jefferson |
Banquet at Lombardi's
Please register by noon 10/13 if you have not already done so. Click here for details, directions, etc.
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October 14, 2006
09:45 AM - 10:45 AM |
Ragni Piene, Oslo
Enumerating Singular Curves on a Surface
Given a family of curves on an algebraic surface and a set of curve
singularity types, there is a natural cycle representing curves of the
family that have such singularities. The goal is to compute these cycle
classes, or even to determine their generating functions. I shall report
on joint work with S. Kleiman on this problem. |
October 14, 2006
11:15 AM - 12:15 PM |
Rahul Pandharipande, Princeton
Counting Disks
Recently, J. Solomon has defined an enumerative theory of holomorphic disks with boundary
in a real Lagrangians. I will discuss a calculation of these disk invariants in the basic case
of the Calabi-Yau quintic. The talk represents joint work with Solomon and J. Walcher. |
October 14, 2006
2:00 PM - 3:00 PM |
Ivan Smith, Cambridge
Exact Lagrangian Submanifolds Revisited
This talk reports on joint work-in-progress with Kenji Fukaya and Paul Seidel.
We combine ideas from homological mirror symmetry with properties of Fukaya categories
of affine varieties, to study exact Lagrangian submanifolds in cotangent bundles. |
October 14, 2006
3:20 PM - 4:20 PM |
Kenji Fukaya, Kyoto
Homological Algebras for Open Gromov-Witten Theory
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October 14, 2006
4:30 PM - 5:30 PM |
Yakov Eliashberg, Stanford
Contact Homology and Legendrian Surgery
I will discuss different flavors of contact homology and Legendrian
contact homology, and relations between them.
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October 15, 2006
09:00 AM - 10:00 AM |
Victor Guillemin, MIT
Classical and Quantum Birkhoff Canonical Forms
I will discuss in this talk some inverse spectral results which say that the spectrum of
a quantum mechanical system determines the behavior of the corresponding classical system
in a "formal" neighborhood of a periodic trajectory. In particular I'll report on some recent
work in this area involving the "bottom of the well" spectral asymptotics of the Schroedinger
operator. |
October 15, 2006
10:20 AM - 11:20 AM |
Dennis Sullivan, Stony Brook
String Topology and Contact Homology
We will compare the algebraic forms of the operations of the string topology related to
the top strata of Riemann' moduli spaces and the algebraic form of the operations in
symplectic field theory (absolute and relative) related to rigid holomorphic curves
(the bottom strata of Gromov's moduli spaces). |
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Department of Mathematics, Stony Brook
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