Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Geometry of integrable systems

2019/34/E/ST1/00188

Keywords:

integrable system differential equation metric conformal structure solution space Pfaff system distribution

Descriptors:

  • ST1_005:
  • ST1_011:

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 Polskiej Akademii Nauk

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Wojciech Kryński 

Number of co-investigators in the project: 3

Call: SONATA BIS 9 - announced on 2019-06-17

Amount awarded: 445 160 PLN

Project start date (Y-m-d): 2020-03-31

Project end date (Y-m-d): 2023-12-30

Project duration:: 45 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.

Information in the final report

  • Publication in academic press/journals (7)
  1. Variational principles for conformal geodesics
    Authors:
    Wojciech Kryński, Maciej Dunajski
    Academic press:
    Letters in Mathematical Physics (rok: 2021, tom: 111, strony: 45675), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11005-021-01469- - link to the publication
  2. The Cayley cubic and differential equations
    Authors:
    Wojciech Kryński, Omid Makhmali
    Academic press:
    The Journal of Geometric Analysis (rok: 2021, tom: 31, strony: 6219–6273), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s12220-020-00525-9 - link to the publication
  3. Geometric aspects of two- and threepeakons
    Authors:
    Wojciech Kryński, Tomasz Cieślak
    Academic press:
    Nonlinearity (rok: 2021, tom: 34, strony: 6685-6704), Wydawca: IOP Publishing
    Status:
    Published
    DOI:
    10.1088/1361-6544/ac149e - link to the publication
  4. GL(2)-geometry and complex structures
    Authors:
    Wojciech Kryński
    Academic press:
    Journal of the London Mathematical Society (rok: 2021, tom: 104, strony: 1717-1737), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/jlms.12472 - link to the publication
  5. The Schwarzian derivative and Euler-Lagrange equations
    Authors:
    Wojciech Kryński
    Academic press:
    Journal of Geometry and Physics (rok: 2022, tom: 182, strony: 45664), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.geomphys.2022.104665 - link to the publication
  6. Deformations of dispersionless Lax systems
    Authors:
    Wojciech Kryński
    Academic press:
    Classical and quantum gravity (rok: 2023, tom: 40, strony: 45669), Wydawca: IOP Publishing
    Status:
    Published
    DOI:
    10.1088/1361-6382/ad0748 - link to the publication
  7. A characterization of chains in dimension three
    Authors:
    Wojciech Kryński, Omid Makhmali
    Status:
    Accepted for publication

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