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SYMPLECTIC SIGNED

Symplectic Measurements and Hamiltonian Dynamics

Total Cost €

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EC-Contrib. €

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Partnership

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Project "SYMPLECTIC" data sheet

The following table provides information about the project.

Coordinator
TEL AVIV UNIVERSITY 

Organization address
address: RAMAT AVIV
city: TEL AVIV
postcode: 69978
website: http://www.tau.ac.il/

contact info
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surname: n.a.
function: n.a.
email: n.a.
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 Coordinator Country Israel [IL]
 Project website http://www.math.tau.ac.il/
 Total cost 1˙221˙921 €
 EC max contribution 1˙221˙921 € (100%)
 Programme 1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
 Code Call ERC-2014-STG
 Funding Scheme ERC-STG
 Starting year 2015
 Duration (year-month-day) from 2015-03-01   to  2021-02-28

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    TEL AVIV UNIVERSITY IL (TEL AVIV) coordinator 1˙221˙921.00

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 Project objective

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.

 Publications

year authors and title journal last update
List of publications.
2016 Efim Gluskin, Yaron Ostrover
Asymptotic equivalence of symplectic capacities
published pages: 131-144, ISSN: 0010-2571, DOI: 10.4171/CMH/380
Commentarii Mathematici Helvetici 91/1 2019-08-06
2017 Efim D. Gluskin, Yaron Ostrover
The Symplectic Size of a Randomly Rotated Convex Body
published pages: , ISSN: 1073-7928, DOI: 10.1093/imrn/rnx205
International Mathematics Research Notices 2019-08-06
2017 Efim D. Gluskin, Yaron Ostrover
A Remark on Projections of the Rotated Cube to Complex Lines
published pages: 137-149, ISSN: 0075-8434, DOI: 10.1007/978-3-319-45282-1_9
Geometric Aspects of Functional Analysis Lecture Notes in Mathematics, vol 2169. Springer Lecture Notes in Mathematics, 2019-08-06
2018 S Artstein-Avidan, D I Florentin, Y Ostrover, D Rosen
Duality of caustics in Minkowski billiards
published pages: 1197-1226, ISSN: 0951-7715, DOI: 10.1088/1361-6544/aa9d5c
Nonlinearity 31/4 2019-08-06

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