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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Combinatorics of symmetric polynomials

2017/26/D/ST1/00186

Keywords:

Algebraic combinatorics Macdonald polynomials Jack polynomials Young diagrams Maps

Descriptors:

  • ST1_14: Discrete mathematics and combinatorics
  • ST1_13: Probability and statistics
  • ST1_12: Mathematical methods of physics

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. Maciej Dołęga 

Number of co-investigators in the project: 2

Call: SONATA 13 - announced on 2017-06-14

Amount awarded: 853 820 PLN

Project start date (Y-m-d): 2018-10-01

Project end date (Y-m-d): 2022-03-31

Project duration:: 42 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 (4 500 PLN)
  2. laptop (11 000 PLN)

Information in the final report

  • Publication in academic press/journals (7)
  • Articles in post-conference publications (2)
  1. A positive combinatorial formula for symplectic Kostka-Foulkes polynomials I: Rows
    Authors:
    Maciej Dołęga, Thomas Gerber, Jacinta Torres
    Academic press:
    Journal of Algebra (rok: 2020, tom: 560, strony: 1253-1296), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2020.05.030 - link to the publication
  2. Enumeration of non-oriented maps via integrability
    Authors:
    Valentin Bonzom, Guillaume Chapuy, Maciej Dołęga
    Academic press:
    Algebraic Combinatorics , Wydawca: Centre Mersenne
    Status:
    Submitted
  3. Reflection length with two parameters in the asymptotic representation theory of type B/C and applications
    Authors:
    Marek Bożejko, Maciej Dołęga, Wiktor Ejsmont, Światosław R. Gal
    Academic press:
    Journal of Functional Analysis , Wydawca: Elsevier
    Status:
    Submitted
  4. $b$-monotone Hurwitz numbers: Virasoro constraints, BKP hierarchy, and $O(N)$-BGW integral
    Authors:
    Valentin Bonzom, Guillaume Chapuy, Maciej Dołęga
    Academic press:
    International Mathematics Research Notices (rok: 2022, tom: rnac171, strony: 59 p.), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1093/imrn/rnac177 - link to the publication
  5. Blossoming bijection for bipartite pointed maps and parametric rationality of general maps of any surface
    Authors:
    Maciej Dołęga, Mathias Lepoutre
    Academic press:
    Advances in Applied Mathematics (rok: 2022, tom: 141, 102408, strony: 58 p.), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aam.2022.102408 - link to the publication
  6. LLT cumulants and graph coloring
    Authors:
    Maciej Dołęga, Maciej Kowalski
    Academic press:
    Electronic Journal of Combinatorics (rok: 2022, tom: 29(4),, strony: Paper 4.5), Wydawca: Electron. J. Combin.
    Status:
    Published
    DOI:
    10.37236/10977 - link to the publication
  7. Non-orientable branched coverings, b-Hurwitz numbers, and positivity for multiparametric Jack expansions
    Authors:
    Guillaume Chapuy, Maciej Dołęga
    Academic press:
    Advances in Mathematics (rok: 2022, tom: 409, 108645, strony: 72 p.), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2022.108645 - link to the publication
  1. A positive combinatorial formula for symplectic Kostka-Foulkes polynomials I: Rows
    Authors:
    Maciej Dołęga, Thomas Gerber, Jacinta Torres
    Conference:
    32rd Conference on Formal Power Series and Algebraic Combinatorics (rok: 2020, ), Wydawca: Fakultät für Mathematik Universität Wien
    Data:
    konferencja 06-24.07
    Status:
    Published
  2. Non-orientable branched coverings, b-Hurwitz numbers, and positivity for multiparametric Jack expansions (extended abstract)
    Authors:
    Guillaume Chapuy, Maciej Dołęga
    Conference:
    33rd Conference on Formal Power Series and Algebraic Combinatorics (rok: 2021, ), Wydawca: Fakultät für Mathematik Universität Wien
    Data:
    konferencja 10-20.01
    Status:
    Published