CORDIS Project
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This project explores the mathematical field of symplectic topology, focusing on function theory on symplectic manifolds. It aims to apply these concepts to quantum mechanics, Hamiltonian dynamics, and Lagrangian knots, providing new insights into the rigidity of symplectic structures.
The proposed research belongs to symplectic topology, a rapidly developingfield of mathematics which originally appeared as a geometric tool for problems of classical mechanics.
Since the 1980ies, new powerful methods such as theory of pseudo-holomorphic curves, Morse-Floer theory on loop spaces, symplectic field theory and mirror symmetry changed the face of the field and put it at the crossroads of several mathematical disciplines.
In this proposal I develop function theory on symplectic manif…
TEL AVIV UNIVERSITY
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