SYMPLECTIC
Financiado
Symplectic Measurements and Hamiltonian Dynamics
Symplectic geometry combines a broad spectrum of interrelated disciplines lying in the mainstream of modern mathematics. The past two decades have given rise to several exciting developments in this field, which introduced new mat...
Symplectic geometry combines a broad spectrum of interrelated disciplines lying in the mainstream of modern mathematics. The past two decades have given rise to several exciting developments in this field, which introduced new mathematical tools and opened challenging new questions. Nowadays symplectic geometry reaches out to an amazingly wide range of areas, such as differential and algebraic geometry, complex analysis, dynamical systems, as well as quantum mechanics, and string theory. Moreover, symplectic geometry serves as a basis for Hamiltonian dynamics, a discipline providing efficient tools for modeling a variety of physical and technological processes, such as orbital motion of satellites (telecommunication and GPS navigation), and propagation of light in optical fibers (with significant applications to medicine).
The proposed research is composed of several innovative studies in the frontier of symplectic geometry and Hamiltonian dynamics, which are of highly significant interest in both fields. These studies have strong interactions on a variety of topics that lie at the heart of contemporary symplectic geometry, such as symplectic embedding questions, the geometry of Hofer’s metric, Lagrangian
intersection problems, and the theory of symplectic capacities.
My research objectives are twofold. First, to solve the open research questions described below, which I consider to be pivotal in the field. Some of these questions have already been studied intensively, and progress toward solving them would be of considerable significance. Second, some of the studies in this proposal are interdisciplinary by nature, and use symplectic tools in order to address major open questions in other fields, such as the famous Mahler conjecture in convex geometry. My goal is to deepen the connections between symplectic geometry and these fields, thus creating a powerful framework that will allow the consideration of questions currently unattainable.
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Duración del proyecto: 84 meses
Fecha Inicio: 2015-02-13
Fecha Fin: 2022-02-28
Fecha Fin: 2022-02-28
Línea de financiación: concedida
El organismo H2020 notifico la concesión del proyecto el día 2022-02-28
Línea de financiación objetivo
El proyecto se financió a través de la siguiente ayuda:
ERC-StG-2014:
ERC Starting Grant
Cerrada
hace 10 años
Presupuesto
El presupuesto total del proyecto asciende a
1M€
Líder del proyecto
TEL AVIV UNIVERSITY
No se ha especificado una descripción o un objeto social para esta compañía.
Perfil tecnológico
TRL
4-5
Perfil tecnológico
TRL
4-5
298.50K€ |
Participante