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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Algebraic varieties related to combinatorial structures

2017/26/D/ST1/00755

Keywords:

Cox ring quotient singularity resolution of singularities p-divisor matrix Schubert variety tropicalization Khovanskii basis

Descriptors:

  • ST1_4:

Panel:

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

Host institution :

Uniwersytet Warszawski, Wydział Matematyki, Informatyki i Mechaniki

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Maria Donten-Bury 

Number of co-investigators in the project: 3

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

Amount awarded: 696 900 PLN

Project start date (Y-m-d): 2018-04-20

Project end date (Y-m-d): 2023-04-19

Project duration:: 60 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 (6)
  1. Bounds on complexity of matrix multiplication away from CW tensors
    Authors:
    Roser Homs, Joachim Jelisiejew, Mateusz Michałek, and Tim Seynnaeve
    Academic press:
    Journal of Pure and Applied Algebra (rok: 2022, tom: 226, strony: 107142), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2022.107142 - link to the publication
  2. Complexity of the ususal torus actions on Kazhdan-Lusztig varieties
    Authors:
    Maria Donten-Bury, Laura Escobar, Irem Portakal
    Academic press:
    Algebraic Combinatorics (rok: 2023, ), Wydawca: Centre Mersenne
    Status:
    Accepted for publication
  3. Classification of Khovanskii bases of Cox rings of cubic surfaces
    Authors:
    Maria Donten-Bury, Paul Görlach, Milena Wrobel
    Academic press:
    Matematiche (Special issue on cubic surfaces) (rok: 2020, tom: 75, strony: 537-557), Wydawca: Dipartimento di Matematica e Informatica, Università di Catania
    Status:
    Published
    DOI:
    10.4418/2020.75.2.9 - link to the publication
  4. Components and singularities of Quot schemes and varieties of commuting matrices
    Authors:
    Joachim Jelisiejew, Klemen Šivic
    Academic press:
    Journal für die reine und angewandte Mathematik (rok: 2022, tom: 2022, strony: 129-187), Wydawca: De Gruyter
    Status:
    Published
    DOI:
    10.1515/crelle-2022-0018 - link to the publication
  5. Białynicki-Birula decomposition for reductive groups
    Authors:
    Joachim Jelisiejew, Łukasz Sienkiewicz
    Academic press:
    Journal de Mathématiques Pures et Appliquées (rok: 2019, tom: 131, strony: 290-325), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.matpur.2019.04.006 - link to the publication
  6. Białynicki-Birula decomposition for reductive groups in positive characteristic
    Authors:
    Joachim Jelisiejew, Łukasz Sienkiewicz
    Academic press:
    Journal de Mathématiques Pures et Appliquées (rok: 2021, tom: 152, strony: 189-210), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.matpur.2021.05.010 - link to the publication