Geometry and topology of manifolds and dynamical systems View Homepage


Ontology type: schema:MonetaryGrant     


Grant Info

YEARS

2016-2016

FUNDING AMOUNT

N/A

ABSTRACT

The project is a continuation of scientific research conducted at the Department of Differential Geometry and Applications of the Faculty of Mechanics and Mathematics of Moscow State University in the field of geometry and topology of manifolds and Hamiltonian systems. The project includes the following. A study of the geometry of Hamiltonian systems, including completely integrable Hamiltonian systems and their invariants. Further study of the minimum fillings and related relations of the Stener type. The study of the geometry of the space of metric compacts The development of the theory of quantization of invariant manifolds of Hamiltonian systems. Development of the theory of graph-links. The study of Bertrand systems. Investigation of the spectral and dynamic properties of differential operators on manifolds with singularities and on cellular complexes. Development of the theory of deformation quantization. More... »

URL

http://www.rfbr.ru/rffi/ru/project_search/o_2016435

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