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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Group actions and model theory

2018/31/B/ST1/00357

Keywords:

model theory group actions

Descriptors:

  • ST1_1: Logic and foundations
  • ST1_2: Algebra
  • 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 :

Uniwersytet Wrocławski, Wydział Matematyki i Informatyki

woj. dolnośląskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Piotr Kowalski 

Number of co-investigators in the project: 5

Call: OPUS 16 - announced on 2018-09-14

Amount awarded: 627 900 PLN

Project start date (Y-m-d): 2019-06-28

Project end date (Y-m-d): 2023-05-27

Project duration:: 47 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. 2 laptopy (19 950 PLN)

Information in the final report

  • Publication in academic press/journals (20)
  1. Galois groups as quotients of Polish groups
    Authors:
    Krzysztof Krupiński, Tomasz Rzepecki
    Academic press:
    Journal of Mathematical Logic (rok: 2020, tom: 20, strony: 2050018 (48 stron)), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S021906132050018X - link to the publication
  2. Model theory of Galois actions of torsion Abelian groups
    Authors:
    Özlem Beyarslan, Piotr Kowalski
    Academic press:
    Journal of the Institute of Mathematics of Jussieu (rok: 2023, tom: 22 (6), strony: 2943-2985), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/S1474748022000305 - link to the publication
  3. Model theory of derivations of the Frobenius map revisited
    Authors:
    Jakub Gogolok
    Academic press:
    Journal of Symbolic Logic (rok: 2023, tom: 88 (3), strony: 1213 - 1229), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/jsl.2021.85 - link to the publication
  4. On the topological dynamics of automorphism groups; a model-theoretic perspective
    Authors:
    Krzysztof Krupiński, Anand Pillay
    Academic press:
    Archive for Mathematical Logic (rok: 2023, tom: 62, strony: 505–529), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00153-022-00850-6 - link to the publication
  5. Operators coming from ring schemes
    Authors:
    Jakub Gogolok, Piotr Kowalski
    Academic press:
    Journal of the London Mathematical Society (rok: 2022, tom: 106, strony: 1725-1758), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/jlms.12609 - link to the publication
  6. Locally compact models for approximate rings
    Authors:
    Krzysztof Krupiński
    Academic press:
    Mathematische Annalen , Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    10.1007/s00208-023-02655-1 - link to the publication
  7. Model theory of fields with finite group scheme actions
    Authors:
    Daniel Max Hoffmann, Piotr Kowalski
    Academic press:
    Journal of Symbolic Logic , Wydawca: Association for Symbolic Logic
    Status:
    Accepted for publication
    DOI:
    10.1017/jsl.2022.21 - link to the publication
  8. Galois actions of finitely generated groups rarely have model companions
    Authors:
    Özlem Beyarslan, Piotr Kowalski
    Academic press:
    Bulletin of the London Mathematical Society , Wydawca: London Mathematical Society
    Status:
    Submitted
    DOI:
    brak - link to the publication
  9. Bohr compactifications of groups and rings
    Authors:
    Jakub Gismatullin, Grzegorz Jagiella, Krzysztof Krupiński
    Academic press:
    Journal of Symbolic Logic (rok: 2023, tom: 88 (3), strony: 1103 - 1137), Wydawca: Association for Symbolic Logic
    Status:
    Published
    DOI:
    10.1017/jsl.2022.10 - link to the publication
  10. On stable quotients
    Authors:
    Krzysztof Krupiński, Adrian Portillo
    Academic press:
    Notre Dame Journal of Formal Logic (rok: 2022, tom: 63, strony: 373-394), Wydawca: Duke University Press
    Status:
    Published
    DOI:
    10.1215/00294527-2022-0023 - link to the publication
  11. Generating ideals by additive subgroups of rings
    Authors:
    Krzysztof Krupiński, Tomasz Rzepecki
    Academic press:
    Annals of Pure and Applied Logic (rok: 2022, tom: 173, strony: 103119), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1016/j.apal.2022.103119 - link to the publication
  12. Amenability, connected components, and definable actions
    Authors:
    Ehud Hrushovski, Krzysztof Krupiński, Anand Pillay
    Academic press:
    Selecta Mathematica, New Series (rok: 2022, tom: 28, strony: 16), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00029-021-00735-1 - link to the publication
  13. Invariant measures in simple and in small theories
    Authors:
    A. Chernikov, E. Hrushovski, A. Kruckman, K. Krupiński, S. Moconja, A. Pillay, N. Ramsey
    Academic press:
    Journal of Mathematical Logic (rok: 2023, tom: 23, strony: 2250025), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219061322500258 - link to the publication
  14. On countable closed covers of compact spaces
    Authors:
    Adam Malinowski, Ludomir Newelski
    Academic press:
    Topology and its Applications (rok: 2020, tom: 272, strony: 1070669), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2020.107069 - link to the publication
  15. Maximal stable quotients of invariant types in NIP theories
    Authors:
    Krzysztof Krupiński, Adrian Portillo
    Academic press:
    Journal of Symbolic Logic , Wydawca: Cambridge Unversity Press
    Status:
    Accepted for publication
    DOI:
    10.1017/jsl.2023.78 - link to the publication
  16. On first order amenability
    Authors:
    Ehud Hrushovski, Krzysztof Krupiński, Anand Pillay
    Academic press:
    Selecta Mathematica, New Series , Wydawca: Springer
    Status:
    Submitted
    DOI:
    brak - link to the publication
  17. Difference sheaves and torsors
    Authors:
    Marcin Chałupnik, Piotr Kowalski
    Academic press:
    Fundamenta Mathematicae (rok: 2023, tom: 260, strony: 111-161), Wydawca: IMPAN
    Status:
    Published
    DOI:
    10.4064/fm66-8-2022 - link to the publication
  18. Ramsey theory and topological dynamics for first order theories
    Authors:
    Krzysztof Krupiński, Junguk Lee, Slavko Moconja
    Academic press:
    Transactions of the American Mathematical Society (rok: 2022, tom: 375 (4), strony: 2553-2596), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/tran/8594 - link to the publication
  19. Topological dynamics and NIP fields
    Authors:
    Grzegorz Jagiella
    Academic press:
    Annals of Pure and Applied Logic (rok: 2021, tom: 172, strony: 103010), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/J.APAL.2021.103010 - link to the publication
  20. Weak heirs, coheirs and the Ellis semigroups
    Authors:
    Adam Malinowski, Ludomir Newelski
    Academic press:
    Journal of Symbolic Logic , Wydawca: Cambridge Unversity Press
    Status:
    Accepted for publication
    DOI:
    10.1017/jsl.2023.58 - link to the publication

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