The field of symplectic and contact geometry and topology is currently an active area of mathematical research. It is intertwined with many areas of mathematics and mathematical physics, such as Hamiltonian Dynamics, Geometric Optics, Low-dimensional topology, Algebraic Geometry, the theory of integrable systems, and the mathematical theory of Mirror Symmetry to name a few. During the last three decades since the area emerged as a separate subject, many powerful methods have been discovered, such as the theory of holomorphic curves (introduced by M. Gromov in the mid-80's) leading to the creation of Gromov-Witten theory and Floer homology in its different flavors. As a result, several outstanding problems in Hamiltonian Dynamics, e.g. Arnold's and Weinstein's conjectures were solved, and a link to Mirror Symmetry was found. These subjects will be the main focus of the present program.The program is being organized in 3 parts:Preliminary school Dates: 01-13 December 2014 Ven...
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