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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Geometric group theory

2012/06/A/ST1/00259

Keywords:

Coxeter groups buildings non-positive curvature cube complexes Gromov boundaries asymptotic properties of groups

Descriptors:

  • ST1_5:

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):

prof. Lech Tadeusz Januszkiewicz 

Number of co-investigators in the project: 10

Call: MAESTRO 3 - announced on 2012-06-15

Amount awarded: 1 611 440 PLN

Project start date (Y-m-d): 2013-04-22

Project end date (Y-m-d): 2016-12-21

Project duration:: 44 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Drukarka (600 PLN)
  2. Komputer stacjonarny (3 400 PLN)
  3. Laptop (2 szt.) (8 000 PLN)
  4. Switch.
  5. Tablet.
  6. Czytnik e-book.

Information in the final report

  • Publication in academic press/journals (38)
  • Articles in post-conference publications (1)
  • Book publications / chapters in book publications (1)
  1. Hyperbolic Coxeter groups with Sierpinski carpet boundary
    Authors:
    J. Świątkowski
    Academic press:
    Bulletin of the London Mathematical Society (rok: 2016, tom: 48(4), strony: 708-716), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1112/blms/bdw034 - link to the publication
  2. Boundary unitary representations - right-angled hyperbolic buildings
    Authors:
    U. Bader, J. Dymara
    Academic press:
    Journal of Modern Dynamics (rok: 2016, tom: 10, strony: 413-437), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.413 - link to the publication
  3. Balanced walls for random groups
    Authors:
    J. Mackay, P. Przytycki
    Academic press:
    Michigan Mathematical Journal (rok: 2015, tom: 64(2), strony: 397-419), Wydawca: Michigan Mathematical Journal
    Status:
    Published
    DOI:
    10.1307/mmj/1434731930 - link to the publication
  4. Cocompactly cubulated 2-dimensional Artin groups
    Authors:
    J. Huang, K. Jankiewicz, P. Przytycki
    Academic press:
    Commentarii Mathematici Helvetici (rok: 2016, tom: 91(3), strony: 519-542), Wydawca: European Mathematical Society
    Status:
    Published
    DOI:
    10.4171/CMH/394 - link to the publication
  5. 1-slim triangles and uniform hyperbolicity for arc graphs and curve graphs
    Authors:
    S. Hensel, P. Przytycki, R. Webb
    Academic press:
    Journal of the EMS (rok: 2015, tom: 17(4), strony: 755-762), Wydawca: European Mathematical Society
    Status:
    Published
    DOI:
    10.4171/JEMS/517 - link to the publication
  6. Separability of embedded surfaces in 3-manifolds
    Authors:
    P. Przytycki, D. Wise
    Academic press:
    Compositio Mathematica (rok: 2014, tom: 150, strony: 1623-1630), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1112/S0010437X14007350 - link to the publication
  7. Arcs intersecting at most once
    Authors:
    P. Przytycki
    Academic press:
    GAFA (rok: 2015, tom: 25(2), strony: 658-670), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/S00039-015-0320-0 - link to the publication
  8. Systolizing buildings
    Authors:
    P. Przytycki, P. Schwer
    Academic press:
    Groups, Geometry and Dynamics (rok: 2016, tom: 10(1), strony: 241-277), Wydawca: European Mathematical Society Publishing House
    Status:
    Published
    DOI:
    10.4171/GGD/349 - link to the publication
  9. Cocompactly cubulated graph manifolds
    Authors:
    M. Hagen, P. Przytycki
    Academic press:
    Israel Journal of Mathematics (rok: 2015, tom: 207(1), strony: 377-394), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/S11856-015-1177-5 - link to the publication
  10. Collapse of random triangular groups: a closer look
    Authors:
    S. Antoniuk, T. Łuczak, J. Świątkowski
    Academic press:
    Bulletin of the London Mathematical Society (rok: 2014, tom: 46(4), strony: 761--764), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1112/blms/bdu034 - link to the publication
  11. Random triangular groups at density 1/3
    Authors:
    S. Antoniuk, T. Łuczak, J. Świątkowski
    Academic press:
    Compositio Mathematica (rok: 2015, tom: 151, strony: 167-178), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1112/S0010437X14007805 - link to the publication
  12. Balanced walls for random groups
    Authors:
    J. Mackay, P. Przytycki
    Academic press:
    Michigan Mathematical Journal (rok: 2015, tom: 64(2), strony: 397-419), Wydawca: Michigan Mathematical Journal
    Status:
    Published
    DOI:
    10.1307/mmj/1434731930 - link to the publication
  13. Uniform symplicity of groups with proximal action
    Authors:
    Ś. Gal, J. Gismatullin, N. Lazarovich
    Academic press:
    Trans. Amer. Math. Soc. Ser. B (rok: 2017, tom: 4, strony: 110-130), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/btran/18 - link to the publication
  14. On two conjectures of Maurer concerning basis graphs of matroids
    Authors:
    J. Chalopin, V. Chepoi, D. Osajda
    Academic press:
    Journal of Combinatorial Theory Series B (rok: 2015, tom: 114, strony: 11689), Wydawca: Academic Press Inc Elsevier Science
    Status:
    Published
    DOI:
    10.1016/j.jctb.2015.03.004 - link to the publication
  15. Infinitely presented small cancellation groups have the Haagerup property
    Authors:
    G. Arzhantseva, D. Osajda
    Academic press:
    Journal of Topology and Analysis (rok: 2015, tom: 7(3), strony: 389-406), Wydawca: World Scientific Publ
    Status:
    Published
    DOI:
    10.1142/S1793525315500144 - link to the publication
  16. Combinatorial negative curvature and triangulations of 3-manifolds
    Authors:
    D. Osajda
    Academic press:
    Indiana University Mathematics Journal (rok: 2015, tom: 64(3), strony: 943-956), Wydawca: Indiana University Mathematics Journal
    Status:
    Published
    DOI:
    10.1512/iumj.2015.64.5568 - link to the publication
  17. Gromov positive scalar curvature conjecture and rationally inessential macroscopically large manifolds.
    Authors:
    M. Marcinkowski
    Academic press:
    Journal of Topology (rok: 2016, tom: 9(1), strony: 105-116), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1112/jtopol/jtv037 - link to the publication
  18. The dense amalgam of metric compacta and topological characterization of boundaries of free products of groups
    Authors:
    J. Świątkowski
    Academic press:
    Groups, Geometry and Dynamics (rok: 2016, tom: 10(1), strony: 407-471), Wydawca: European Mathematical Society
    Status:
    Published
    DOI:
    10.4171/GGD/353 - link to the publication
  19. Right-angled Coxeter groups with n-dimensional Sierpinski compacta as boundaries
    Authors:
    J. Świątkowski
    Academic press:
    Journal of Topology (rok: 2017, tom: 10(4), strony: 970-994), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1112/topo.12026 - link to the publication
  20. Mixed 3-manifolds are virtually special
    Authors:
    P. Przytycki, D. Wise
    Academic press:
    Journal of the American Mathematical Society (rok: 2018, tom: 31, strony: 319-347), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/jams/886 - link to the publication
  21. Homotopical systole and hyperbolicity
    Authors:
    T. Elsner, T. Januszkiewicz
    Academic press:
    Bulletin of the London Mathematical Society (rok: 2015, tom: 47(2), strony: 203-205), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1112/blms/bdu108 - link to the publication
  22. Collapse of random triangular groups: a closer look
    Authors:
    S. Antoniuk, T. Łuczak, J. Świątkowski
    Academic press:
    Bulletin of the London Mathematical Society (rok: 2014, tom: 46(4), strony: 761--764), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1112/blms/bdu034 - link to the publication
  23. Random triangular groups at density 1/3
    Authors:
    S. Antoniuk, T. Łuczak, J. Świątkowski
    Academic press:
    Compositio Mathematica (rok: 2015, tom: 151, strony: 167-178), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1112/S0010437X14007805 - link to the publication
  24. Property of rapid decay for extensions of compactly generated groups
    Authors:
    Ł. Garncarek
    Academic press:
    Publicacions Matematiques (rok: 2015, tom: 59(2), strony: 301-312), Wydawca: Universitat Autònoma de Barcelona
    Status:
    Published
    DOI:
    10.5565/publmat_59215_02 - link to the publication
  25. The cancellation norm and the geometry of biinvariant word metrics
    Authors:
    M. Brandenbursky, S. Gal, J. Kędra, M. Marcinkowski
    Academic press:
    Glasgow Mathematical Journal (rok: 2016, tom: 58(1), strony: 153-176), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/S0017089515000129 - link to the publication
  26. Realisation and dismantlability
    Authors:
    S. Hensel, D. Osajda, P. Przytycki
    Academic press:
    Geometry & Topology (rok: 2014, tom: 18, strony: 2079–2126), Wydawca: Mathematical Sciences Publishers
    Status:
    Published
    DOI:
    10.2140/gt.2014.18.2079 - link to the publication
  27. On asymptotically hereditarily aspherical groups
    Authors:
    D. Osajda, J. Świątkowski
    Academic press:
    Proceedings of London Mathematical Society (rok: 2015, tom: 111(1), strony: 93-126), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1112/plms/pdv021 - link to the publication
  28. Infinitely-ended hyperbolic groups with homeomorphic Gromov boundaries
    Authors:
    A. Martin, J. Świątkowski
    Academic press:
    Journal of Group Theory (rok: 2015, tom: 18(2), strony: 273-289), Wydawca: Walter de Gruyter
    Status:
    Published
    DOI:
    10.1515/jgth-2014-0043 - link to the publication
  29. Infinitely presented small cancellation groups have the Haagerup property
    Authors:
    G. Arzhantseva, D. Osajda
    Academic press:
    Journal of Topology and Analysis (rok: 2015, tom: 7(3), strony: 389-406), Wydawca: World Scientific Publ
    Status:
    Published
    DOI:
    10.1142/S1793525315500144 - link to the publication
  30. Arcs on spheres intersecting at most twice
    Authors:
    C. Smith, P. Przytycki
    Status:
    Accepted for publication
  31. Acylindrical hyperbolicity of the three-dimensional tame automorphism group
    Authors:
    S. Lamy, P. Przytycki
    Status:
    Accepted for publication
  32. Asymptotic Schur orthogonality in hyperbolic groups with application to monotony
    Authors:
    A. Boyer, Ł. Garncarek
    Status:
    Accepted for publication
  33. Constructions of k-regular maps using finite local schemes
    Authors:
    J. Buczyński, T. Januszkiewicz, J. Jelisiejew, M. Michałek
    Status:
    Accepted for publication
  34. Dismantlable classifying space for the family of parabolic subgroups of a relatively hyperbolic group
    Authors:
    E. Martinez-Pedroza, P. Przytycki
    Status:
    Accepted for publication
  35. Weakly modular graphs and nonpositive curvature
    Authors:
    J. Chalopin, V. Chepoi, H. Hirai, D. Osajda
    Status:
    Accepted for publication
  36. Aut-invariant norms and Aut-invariant quasimorphisms on free and surface groups
    Authors:
    M. Brandenbursky, M. Marcinkowski
    Status:
    Accepted for publication
  37. Weakly modular graphs and nonpositive curvature
    Authors:
    J. Chalopin, V. Chepoi, H. Hirai, D. Osajda
    Status:
    Accepted for publication
  38. Acylindrical hyperbolicity of the three-dimensional tame automorphism group
    Authors:
    S. Lamy, P. Przytycki
    Status:
    Accepted for publication
  1. A note on acylindrical hyperbolicity of Mapping Class Groups [in Advanced Studies in Pure Mathematics 73, Hyperbolic Geometry and Geometric Group Theory]
    Authors:
    P. Przytycki, A. Sisto
    Conference:
    The 7th MSJ-SI Hyperbolic Geometry and Geometric Group Theory (rok: 2017, ), Wydawca: Mathematical Society of Japan
    Data:
    konferencja 30.07-5.08.2014
    Status:
    Published
    DOI:
    link to the publication
  1. The Neretin Group
    Authors:
    Ł. Garncarek, N. Lazarovich
    Book:
    New Directions in Locally Compact Groups (London Mathematical Society Lecture Note Series, Vol. 447) (rok: 2018, tom: Vol. 447, strony: 131-144), Wydawca: Cambridge University Press
    Status:
    Published

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