Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Infinite dimensional Conley index and its applications to Hamiltonian systems and Seiberg-Witten equations.

2015/17/N/ST1/02527

Keywords:

Conley index Floer theory Hamiltonian systems Seiberg-Witten equations

Descriptors:

  • ST1_10: Ordinary differential equations and dynamical systems
  • ST1_6: Topology

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Instytut Matematyczny PAN

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Maciej Starostka 

Number of co-investigators in the project: 2

Call: PRELUDIUM 9 - announced on 2015-03-16

Amount awarded: 59 880 PLN

Project start date (Y-m-d): 2016-02-18

Project end date (Y-m-d): 2018-08-17

Project duration:: 30 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Equipment purchased [PL]

  1. Tablet - Laptop, Microsoft Surface Pro 4.

Information in the final report

  • Publication in academic press/journals (4)
  1. Homotopy invariance of the Conley index and local Morse homology in Hilbert spaces
    Authors:
    Marek Izydorek, Thomas O. Rot, Maciej Starostka, Marcin Styborski, Robert C.A.M. Vandervorst
    Academic press:
    Journal of Diffenretial Equations (rok: 2017, tom: 263, strony: 7162 - 7186), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2017.08.007 - link to the publication
  2. The E-cohomological Conley Index, Cup-Lengths and the Arnold Conjecture on T2n
    Authors:
    Maciej Starostka, Nils Waterstraat
    Academic press:
    Advanced Nonlinear Studies (rok: 2019, tom: 19, strony: 519-528), Wydawca: DE GRUYTER
    Status:
    Published
    DOI:
    10.1515/ans-2019-2044 - link to the publication
  3. Connected components of the space of proper gradient vector fields
    Authors:
    M. Starostka
    Academic press:
    Journal of Dynamics and Differential Equations , Wydawca: Springer
    Status:
    Submitted
    DOI:
    brak - link to the publication
  4. Bernstein-type theorem for ϕ-Laplacian
    Authors:
    J. Ciesielski, J. Maksymiuk, M. Starostka
    Academic press:
    Fixed Point Theory and Applications (rok: 2019, tom: 1, strony: 45300), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1186/s13663-018-0651-2 - link to the publication

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