Geometric group theory

2012/06/A/ST1/00259

Keywords

Descriptors

  • ST1_5: Geometria

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

Voivodeship: 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
2013-04-22
Project end date
2016-12-21
Project duration
44 months (the same as in the proposal)
Project status
Project settled

Equipment purchased [PL]

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

Information in the final report

Publication in academic press/journals (32)

  1. Realisation and dismantlability

    Authors:
    S. Hensel, D. Osajda, P. Przytycki
    Academic press:
    Geometry & Topology (year: 2014, volume: 18, pages: 2079–2126), Publisher: Mathematical Sciences Publishers
    Status:
    Published
    DOI:
    10.2140/gt.2014.18.2079 – link to the publication
  2. 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 (year: 2015, volume: 17(4), pages: 755-762), Publisher: European Mathematical Society
    Status:
    Published
    DOI:
    10.4171/JEMS/517 – link to the publication
  3. Cocompactly cubulated graph manifolds

    Authors:
    M. Hagen, P. Przytycki
    Academic press:
    Israel Journal of Mathematics (year: 2015, volume: 207(1), pages: 377-394), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/S11856-015-1177-5 – link to the publication
  4. Uniform symplicity of groups with proximal action

    Authors:
    Ś. Gal, J. Gismatullin, N. Lazarovich
    Academic press:
    Trans. Amer. Math. Soc. Ser. B (year: 2017, volume: 4, pages: 110-130), Publisher: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/btran/18 – link to the publication
  5. Property of rapid decay for extensions of compactly generated groups

    Authors:
    Ł. Garncarek
    Academic press:
    Publicacions Matematiques (year: 2015, volume: 59(2), pages: 301-312), Publisher: Universitat Autònoma de Barcelona
    Status:
    Published
    DOI:
    10.5565/publmat_59215_02 – link to the publication
  6. Cocompactly cubulated 2-dimensional Artin groups

    Authors:
    J. Huang, K. Jankiewicz, P. Przytycki
    Academic press:
    Commentarii Mathematici Helvetici (year: 2016, volume: 91(3), pages: 519-542), Publisher: European Mathematical Society
    Status:
    Published
    DOI:
    10.4171/CMH/394 – link to the publication
  7. Combinatorial negative curvature and triangulations of 3-manifolds

    Authors:
    D. Osajda
    Academic press:
    Indiana University Mathematics Journal (year: 2015, volume: 64(3), pages: 943-956), Publisher: Indiana University Mathematics Journal
    Status:
    Published
    DOI:
    10.1512/iumj.2015.64.5568 – link to the publication
  8. On asymptotically hereditarily aspherical groups

    Authors:
    D. Osajda, J. Świątkowski
    Academic press:
    Proceedings of London Mathematical Society (year: 2015, volume: 111(1), pages: 93-126), Publisher: Oxford University Press
    Status:
    Published
    DOI:
    10.1112/plms/pdv021 – link to the publication
  9. Infinitely-ended hyperbolic groups with homeomorphic Gromov boundaries

    Authors:
    A. Martin, J. Świątkowski
    Academic press:
    Journal of Group Theory (year: 2015, volume: 18(2), pages: 273-289), Publisher: Walter de Gruyter
    Status:
    Published
    DOI:
    10.1515/jgth-2014-0043 – link to the publication
  10. Balanced walls for random groups

    Authors:
    J. Mackay, P. Przytycki
    Academic press:
    Michigan Mathematical Journal (year: 2015, volume: 64(2), pages: 397-419), Publisher: Michigan Mathematical Journal
    Status:
    Published
    DOI:
    10.1307/mmj/1434731930 – link to the publication
  11. Gromov positive scalar curvature conjecture and rationally inessential macroscopically large manifolds.

    Authors:
    M. Marcinkowski
    Academic press:
    Journal of Topology (year: 2016, volume: 9(1), pages: 105-116), Publisher: Oxford University Press
    Status:
    Published
    DOI:
    10.1112/jtopol/jtv037 – link to the publication
  12. Random triangular groups at density 1/3

    Authors:
    S. Antoniuk, T. Łuczak, J. Świątkowski
    Academic press:
    Compositio Mathematica (year: 2015, volume: 151, pages: 167-178), Publisher: Cambridge University Press
    Status:
    Published
    DOI:
    10.1112/S0010437X14007805 – link to the publication
  13. Collapse of random triangular groups: a closer look

    Authors:
    S. Antoniuk, T. Łuczak, J. Świątkowski
    Academic press:
    Bulletin of the London Mathematical Society (year: 2014, volume: 46(4), pages: 761--764), Publisher: Oxford University Press
    Status:
    Published
    DOI:
    10.1112/blms/bdu034 – link to the publication
  14. Infinitely presented small cancellation groups have the Haagerup property

    Authors:
    G. Arzhantseva, D. Osajda
    Academic press:
    Journal of Topology and Analysis (year: 2015, volume: 7(3), pages: 389-406), Publisher: World Scientific Publ
    Status:
    Published
    DOI:
    10.1142/S1793525315500144 – link to the publication
  15. Boundary unitary representations - right-angled hyperbolic buildings

    Authors:
    U. Bader, J. Dymara
    Academic press:
    Journal of Modern Dynamics (year: 2016, volume: 10, pages: 413-437), Publisher: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/jmd.2016.10.413 – link to the publication
  16. The cancellation norm and the geometry of biinvariant word metrics

    Authors:
    M. Brandenbursky, S. Gal, J. Kędra, M. Marcinkowski
    Academic press:
    Glasgow Mathematical Journal (year: 2016, volume: 58(1), pages: 153-176), Publisher: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/S0017089515000129 – link to the publication
  17. Homotopical systole and hyperbolicity

    Authors:
    T. Elsner, T. Januszkiewicz
    Academic press:
    Bulletin of the London Mathematical Society (year: 2015, volume: 47(2), pages: 203-205), Publisher: Oxford University Press
    Status:
    Published
    DOI:
    10.1112/blms/bdu108 – link to the publication
  18. 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 (year: 2015, volume: 114, pages: 11689), Publisher: Academic Press Inc Elsevier Science
    Status:
    Published
    DOI:
    10.1016/j.jctb.2015.03.004 – link to the publication
  19. Arcs intersecting at most once

    Authors:
    P. Przytycki
    Academic press:
    GAFA (year: 2015, volume: 25(2), pages: 658-670), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/S00039-015-0320-0 – link to the publication
  20. Mixed 3-manifolds are virtually special

    Authors:
    P. Przytycki, D. Wise
    Academic press:
    Journal of the American Mathematical Society (year: 2018, volume: 31, pages: 319-347), Publisher: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/jams/886 – link to the publication
  21. Separability of embedded surfaces in 3-manifolds

    Authors:
    P. Przytycki, D. Wise
    Academic press:
    Compositio Mathematica (year: 2014, volume: 150, pages: 1623-1630), Publisher: Cambridge University Press
    Status:
    Published
    DOI:
    10.1112/S0010437X14007350 – link to the publication
  22. Systolizing buildings

    Authors:
    P. Przytycki, P. Schwer
    Academic press:
    Groups, Geometry and Dynamics (year: 2016, volume: 10(1), pages: 241-277), Publisher: European Mathematical Society Publishing House
    Status:
    Published
    DOI:
    10.4171/GGD/349 – link to the publication
  23. 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 (year: 2016, volume: 10(1), pages: 407-471), Publisher: European Mathematical Society
    Status:
    Published
    DOI:
    10.4171/GGD/353 – link to the publication
  24. Right-angled Coxeter groups with n-dimensional Sierpinski compacta as boundaries

    Authors:
    J. Świątkowski
    Academic press:
    Journal of Topology (year: 2017, volume: 10(4), pages: 970-994), Publisher: Oxford University Press
    Status:
    Published
    DOI:
    10.1112/topo.12026 – link to the publication
  25. Hyperbolic Coxeter groups with Sierpinski carpet boundary

    Authors:
    J. Świątkowski
    Academic press:
    Bulletin of the London Mathematical Society (year: 2016, volume: 48(4), pages: 708-716), Publisher: Oxford University Press
    Status:
    Published
    DOI:
    10.1112/blms/bdw034 – link to the publication
  26. Weakly modular graphs and nonpositive curvature

    Authors:
    J. Chalopin, V. Chepoi, H. Hirai, D. Osajda
    Status:
    Accepted for publication
  27. Asymptotic Schur orthogonality in hyperbolic groups with application to monotony

    Authors:
    A. Boyer, Ł. Garncarek
    Status:
    Accepted for publication
  28. Constructions of k-regular maps using finite local schemes

    Authors:
    J. Buczyński, T. Januszkiewicz, J. Jelisiejew, M. Michałek
    Status:
    Accepted for publication
  29. Aut-invariant norms and Aut-invariant quasimorphisms on free and surface groups

    Authors:
    M. Brandenbursky, M. Marcinkowski
    Status:
    Accepted for publication
  30. Dismantlable classifying space for the family of parabolic subgroups of a relatively hyperbolic group

    Authors:
    E. Martinez-Pedroza, P. Przytycki
    Status:
    Accepted for publication
  31. Arcs on spheres intersecting at most twice

    Authors:
    C. Smith, P. Przytycki
    Status:
    Accepted for publication
  32. Acylindrical hyperbolicity of the three-dimensional tame automorphism group

    Authors:
    S. Lamy, P. Przytycki
    Status:
    Accepted for publication

Articles in post-conference publications (1)

  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 (year: 2017, pages: 255-264), Publisher: Mathematical Society of Japan
    Date:
    conference 30.07-5.08.2014
    Status:
    Published

Book publications / chapters in book publications (1)

  1. The Neretin Group

    Authors:
    Ł. Garncarek, N. Lazarovich
    Book:
    New Directions in Locally Compact Groups (London Mathematical Society Lecture Note Series, Vol. 447) (year: 2018, volume: Vol. 447, pages: 131-144), Publisher: Cambridge University Press
    Status:
    Published

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