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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Groups with combinatorial non-positive curvature

2017/25/B/ST1/01335

Keywords:

geometric group theory non-positive curvature Artin group hyperbolic group Gromov boundary

Descriptors:

  • ST1_5: Geometry

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 Damian Osajda 

Number of co-investigators in the project: 4

Call: OPUS 13 - announced on 2017-03-15

Amount awarded: 440 520 PLN

Project start date (Y-m-d): 2018-01-26

Project end date (Y-m-d): 2023-01-25

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.

Equipment purchased [PL]

  1. Komputer stacjonarny z monitorem (6 000 PLN)
  2. Dysk twardy zewnętrzny (1 200 PLN)
  3. Drukarka laserowa ze skanerem (1 500 PLN)
  4. Komputer przenośny (4 500 PLN)

Information in the final report

  • Publication in academic press/journals (14)
  1. A note on the complete characterizations of hyperbolic Coxeter groups with Sierpinski curve boundary and with Menger curve boundary
    Authors:
    Daniel Danielski, Jacek Świątkowski
    Academic press:
    Fundamenta Mathematicae , Wydawca: POLISH ACAD SCIENCES INST MATHEMATICS-IMPAN
    Status:
    Submitted
    DOI:
    brak - link to the publication
  2. Commensurability of Baumslag-Solitar groups
    Authors:
    Montserrat Casals-Ruiz, Ilya Kazachkov, Alexander Zakharov
    Academic press:
    Indiana University Mathematics Journal (rok: 2021, tom: 70, strony: 2527–2555), Wydawca: Indiana Univ.
    Status:
    Published
    DOI:
    10.1512/iumj.2021.70.9496 - link to the publication
  3. Reflection trees of graphs as boundaries of Coxeter groups
    Authors:
    Jacek Świątkowski
    Academic press:
    Algebraic and Geometric Topology (rok: 2021, tom: 21, strony: 351-420), Wydawca: GEOMETRY & TOPOLOGY PUBLICATIONS, UNIV WARWICK, MATHEMATICS INST, COVENTRY CV4 7AL, ENGLAND
    Status:
    Published
    DOI:
    10.2140/agt.2021.21.351 - link to the publication
  4. Small cancellation labellings of some infinite graphs and applications
    Authors:
    Damian Osajda
    Academic press:
    Acta Mathematica (rok: 2020, tom: 225, strony: 159-191), Wydawca: INT PRESS BOSTON, INC, PO BOX 43502, SOMERVILLE, MA 02143 USA
    Status:
    Published
    DOI:
    10.4310/acta.2020.v225.n1.a3 - link to the publication
  5. Torsion groups do not act on 2-dimensional CAT(0) complexes
    Authors:
    Sergey Norin, Damian Osajda, Piotr Przytycki
    Academic press:
    Duke Mathematical Journal (rok: 2022, tom: 171, strony: 1379–1415), Wydawca: DUKE UNIV PRESS, 905 W MAIN ST, STE 18-B, DURHAM, NC 27701 USA
    Status:
    Published
    DOI:
    10.1215/00127094-2021-0069 - link to the publication
  6. Helly groups
    Authors:
    Jeremie Chalopin, Victor Chepoi, Anthony Genevois, Hiroshi Hirai, Damian Osajda
    Academic press:
    Geometry & Topology , Wydawca: GEOMETRY & TOPOLOGY PUBLICATIONS, UNIV WARWICK, MATHEMATICS INST, COVENTRY CV4 7AL, ENGLAND
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  7. Relatively hyperbolic groups with strongly shortcut parabolics are strongly shortcut
    Authors:
    Nima Hoda, Suraj Krishna
    Academic press:
    MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY (rok: 2023, tom: 175, strony: 367-380), Wydawca: MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY
    Status:
    Published
    DOI:
    10.1017/S0305004123000208 - link to the publication
  8. Crystallographic Helly groups
    Authors:
    Nima Hoda
    Academic press:
    The Bulletin of the London Mathematical Society (rok: 2023, tom: -, strony: 45312), Wydawca: WILEY, 111 RIVER ST, HOBOKEN 07030-5774, NJ USA
    Status:
    Published
    DOI:
    10.1112/blms.12906 - link to the publication
  9. Helly meets Garside and Artin
    Authors:
    Jingyin Huang, Damian Osajda
    Academic press:
    Inventiones Mathematicae (rok: 2021, tom: -, strony: -), Wydawca: SPRINGER HEIDELBERG, TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY
    Status:
    Published
    DOI:
    10.1007/s00222-021-01030-8 - link to the publication
  10. Metric systolicitiy and two-dimensional Artin groups
    Authors:
    Jingyin Huang, Damian Osajda
    Academic press:
    MATHEMATISCHE ANNALEN (rok: 2019, tom: 374(3-4), strony: 1311-1352), Wydawca: SPRINGER HEIDELBERG, TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY
    Status:
    Published
    DOI:
    10.1007/s00208-019-01823-6 - link to the publication
  11. Normal subgroups of SimpHAtic groups
    Authors:
    Damian Osajda
    Academic press:
    JOURNAL OF TOPOLOGY AND ANALYSIS (rok: 2021, tom: online, strony: 45311), Wydawca: WORLD SCIENTIFIC PUBL CO PTE LTD, 5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE
    Status:
    Published
    DOI:
    10.1142/S1793525321500515 - link to the publication
  12. Right-angled Coxeter groups with Menger curve boundary
    Authors:
    Daniel Danielski
    Academic press:
    The Bulletin of the London Mathematical Society (rok: 2022, tom: online, strony: 45310), Wydawca: WILEY, 111 RIVER ST, HOBOKEN 07030-5774, NJ USA
    Status:
    Published
    DOI:
    10.1112/blms.12609 - link to the publication
  13. Helly groups, coarse Helly groups, and relative hyperbolicity
    Authors:
    Damian Osajda, Motiejus Valiunas
    Academic press:
    Transactions of the American Mathematical Society , Wydawca: AMER MATHEMATICAL SOC, 201 CHARLES ST, PROVIDENCE, RI 02940-2213 USA
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  14. Quasi-Euclidean tilings over 2-dimensional Artin groups and their applications
    Authors:
    Jingyin Huang, Damian Osajda
    Academic press:
    MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY (rok: 2018, ), Wydawca: AMER MATHEMATICAL SOC, 201 CHARLES ST, PROVIDENCE, RI 02940-2213 USA
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication

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