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CSG SIGNED

C° symplectic geometry

Total Cost €

EC-Contrib. €

Partnership

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CSG project word cloud

Explore the words cloud of the CSG project. It provides you a very rough idea of what is the project "CSG" about.

intend smooth question indicate indicated proposes dimension objects continuous hard showing p geometry conjecture direction appearing symplectic versus circle rigidity fascinating lower relation dimensions cover central ways operator surprising mathematicians bracket homeomorphisms polterovich first relations intuitive tools satisfactory progress little questions flexibility invariant flows conjectured quantum functional possess counter action suggests spectral discover 0 combination background poisson pi bound invariants drawing hamiltonian spectacular topology big flux formulate theoretic mechanics phenomena arnold norm submanifolds celebrated solution despite

Project "CSG" 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 title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.
Coordinator Country	Israel [IL]
Total cost	1˙345˙282 €
EC max contribution	1˙345˙282 € (100%)
Programme	1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
Code Call	ERC-2017-STG
Funding Scheme	ERC-STG
Starting year	2017
Duration (year-month-day)	from 2017-10-01 to 2022-09-30

Partnership

Take a look of project's partnership.

#	participants	country	role	EC contrib. [€]
1	TEL AVIV UNIVERSITY TEL AVIV UNIVERSITY Organization address address: RAMAT AVIV city: TEL AVIV postcode: 69978 website: http://www.tau.ac.il/ contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	IL (TEL AVIV)	coordinator	1˙345˙282.00

Map

Project objective

'The objective of this proposal is to study 'continuous' (or C^0) objects, as well as C^0 properties of smooth objects, in the field of symplectic geometry and topology. C^0 symplectic geometry has seen spectacular progress in recent years, drawing attention of mathematicians from various background. The proposed study aims to discover new fascinating C^0 phenomena in symplectic geometry.

One circle of questions concerns symplectic and Hamiltonian homeomorphisms. Recent studies indicate that these objects possess both rigidity and flexibility, appearing in surprising and counter-intuitive ways. Our understanding of symplectic and Hamiltonian homeomorphisms is far from being satisfactory, and here we intend to study questions related to action of symplectic homeomorphisms on submanifolds. Some other questions are about Hamiltonian homeomorphisms in relation to the celebrated Arnold conjecture. The PI suggests to study spectral invariants of continuous Hamiltonian flows, which allow to formulate the C^0 Arnold conjecture in higher dimensions. Another central problem that the PI will work on is the C^0 flux conjecture.

A second circle of questions is about the Poisson bracket operator, and its functional-theoretic properties. The first question concerns the lower bound for the Poisson bracket invariant of a cover, conjectured by L. Polterovich who indicated relations between this problem and quantum mechanics. Another direction aims to study the C^0 rigidity versus flexibility of the L_p norm of the Poisson bracket. Despite a recent progress in dimension two showing rigidity, very little is known in higher dimensions. The PI proposes to use combination of tools from topology and from hard analysis in order to address this question, whose solution will be a big step towards understanding functional-theoretic properties of the Poisson bracket operator.'

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The information about "CSG" are provided by the European Opendata Portal: CORDIS opendata.