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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Difference algebra and cohomology of groups

2015/19/B/ST1/01150

Keywords:

representation theory rational cohomology difference algebraic groups

Descriptors:

  • ST1_4: Algebraic and complex geometry
  • 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):

dr hab. Piotr Kowalski 

Number of co-investigators in the project: 3

Call: OPUS 10 - announced on 2015-09-15

Amount awarded: 385 800 PLN

Project start date (Y-m-d): 2016-06-15

Project end date (Y-m-d): 2019-09-14

Project duration:: 39 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. Drukarka (2 sztuki).
  2. Komputer (3 szt.) (15 000 PLN)

Information in the final report

  • Publication in academic press/journals (14)
  1. Ax-Schanuel condition in arbitrary characteristic
    Authors:
    Piotr Kowalski
    Academic press:
    Journal of the Institute of Mathematics of Jussieu (rok: 2019, tom: 18 (6), strony: 1157-1213), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/S1474748017000378 - link to the publication
  2. Existentially closed fields with finite group actions
    Authors:
    Daniel M. Hoffmann, Piotr Kowalski
    Academic press:
    Journal of Mathematical Logic (rok: 2018, tom: 18 (1), strony: 1850003 (26 stron)), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219061318500034 - link to the publication
  3. Model theory of fields with free operators in positive characteristic
    Authors:
    Özlem Beyarslan, Daniel M. Hoffmann, Moshe Kamensky, Piotr Kowalski
    Academic press:
    Transactions of the American Mathematical Society (rok: 2019, tom: 372 (8), strony: 5991-6016), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/tran/7896 - link to the publication
  4. On Galois groups and PAC substructures
    Authors:
    Daniel M. Hoffmann
    Academic press:
    Fundamenta Mathematicae (rok: 2020, tom: 250, strony: 151-177), Wydawca: IMPAN
    Status:
    Published
    DOI:
    10.4064/fm788-10-2019 - link to the publication
  5. On existence of canonical G-bases
    Authors:
    Daniel M. Hoffmann
    Academic press:
    Nagoya Mathematical Journal (rok: 2019, tom: 233 (1), strony: 45322), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/nmj.2017.25 - link to the publication
  6. Difference sheaves and torsors
    Authors:
    Marcin Chałupnik, Piotr Kowalski
    Academic press:
    Journal of the Institute of Mathematics of Jussieu , Wydawca: Cambridge University Press
    Status:
    Submitted
    DOI:
    brak - link to the publication
  7. Affine strict polynomial functors and formality
    Authors:
    Marcin Chałupnik
    Academic press:
    Advances in Mathematics (rok: 2017, tom: 320, strony: 652-673), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2017.09.006 - link to the publication
  8. Model theoretic dynamics in Galois fashion
    Authors:
    Daniel M. Hoffmann
    Academic press:
    Annals of Pure and Applied Logic (rok: 2019, tom: 170 (7), strony: 755-804), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.apal.2019.02.002 - link to the publication
  9. Model theory of fields with virtually free group actions
    Authors:
    Özlem Beyarslan, Piotr Kowalski
    Academic press:
    Proceedings of the London Mathematical Society (rok: 2019, tom: 118 (2), strony: 221-256), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/plms.12180 - link to the publication
  10. On spectra and affine strict polynomial functors
    Authors:
    Marcin Chałupnik
    Academic press:
    Annales de l'Institut Fourier , Wydawca: Association des Annales de l'institut Fourier.
    Status:
    Submitted
    DOI:
    brak - link to the publication
  11. Witt vectors and separably closed fields with higher derivations
    Authors:
    Daniel M. Hoffmann
    Academic press:
    Notre Dame Journal of Formal Logic , Wydawca: Duke University Press
    Status:
    Submitted
    DOI:
    brak - link to the publication
  12. Elementarily Equivalence Theorem for PAC structures
    Authors:
    Jan Dobrowolski, Daniel M. Hoffmann, Junguk Lee
    Academic press:
    Journal of Symbolic Logic , Wydawca: Cambridge University Press
    Status:
    Accepted for publication
    DOI:
    10.1017/jsl.2020.61 - link to the publication
  13. Difference modules and difference cohomology
    Authors:
    Marcin Chałupnik, Piotr Kowalski
    Academic press:
    Algebra & Number Theory (rok: 2018, tom: 45633, strony: 1559-1580), Wydawca: Mathematical Sciences Publishers
    Status:
    Published
    DOI:
    10.2140/ant.2018.12.1559 - link to the publication
  14. Fields with automorphism and valuation
    Authors:
    Özlem Beyarslan, Daniel M. Hoffmann, Gönenç Onay, David Pierce
    Academic press:
    Archive for Mathematical Logic (rok: 2020, tom: 59, strony: 997-1008), Wydawca: Springer Heidelberg
    Status:
    Published
    DOI:
    10.1007/s00153-020-00728-5 - link to the publication

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