Projects funded by the NCN


Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Geometric and measured group theory

2015/18/M/ST1/00050

Keywords:

geometric group theory measured group theory

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 :

Instytut Matematyczny Polskiej Akademii Nauk

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Damian Osajda 

Number of co-investigators in the project: 13

Call: HARMONIA 7 - announced on 2015-06-15

Amount awarded: 342 000 PLN

Project start date (Y-m-d): 2016-04-11

Project end date (Y-m-d): 2020-04-10

Project duration:: 48 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.

Information in the final report

  • Publication in academic press/journals (29)
  1. Arcs on Punctured Disks Intersecting at Most Twice with Endpoints on the Boundary
    Authors:
    Assaf Bar-Natan
    Academic press:
    GROUPS GEOMETRY AND DYNAMICS (rok: 2020, tom: 14, strony: 1309-1332), Wydawca: EUROPEAN MATHEMATICAL SOC, PUBLISHING HOUSE, E T H-ZENTRUM SEW A27, SCHEUCHZERSTRASSE 70, CH-8092 ZURICH, SWITZERLAND
    Status:
    Published
    DOI:
    10.4171/GGD/582 - link to the publication
  2. Bestvina complex for group actions with a strict fundamental domain
    Authors:
    Nansen Petrosyan, Tomasz Prytuła
    Academic press:
    GROUPS GEOMETRY AND DYNAMICS (rok: 2020, tom: 14, strony: 1277-1307), Wydawca: EUROPEAN MATHEMATICAL SOC, PUBLISHING HOUSE, E T H-ZENTRUM SEW A27, SCHEUCHZERSTRASSE 70, CH-8092 ZURICH, SWITZERLAND
    Status:
    Published
    DOI:
    10.4171/GGD/581 - link to the publication
  3. Large-type Artin groups are systolic
    Authors:
    Jingyin Huang, Damian Osajda
    Academic press:
    PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY (rok: 2020, tom: 120, strony: 95–123), Wydawca: OXFORD UNIV PRESS, GREAT CLARENDON ST, OXFORD OX2 6DP, ENGLAND
    Status:
    Published
    DOI:
    10.1112/plms.12284 - link to the publication
  4. Residually finite non-exact groups
    Authors:
    Damian Osajda
    Academic press:
    Geometric and Functional Analysis (rok: 2018, tom: 28, strony: 509-517), Wydawca: SPRINGER BASEL AG, PICASSOPLATZ 4, BASEL, 4052, SWITZERLAND
    Status:
    Published
    DOI:
    10.1007/s00039-018-0432-4 - link to the publication
  5. Weakly modular graphs and nonpositive curvature
    Authors:
    Jeremie Chalopin, Victor Chepoi, Hiroshi Hirai, Damian Osajda
    Academic press:
    Memoirs of the American Mathematical Society (rok: 2020, tom: 268, strony: vi+159), Wydawca: AMER MATHEMATICAL SOC, 201 CH
    Status:
    Published
    DOI:
    10.1090/memo/1309 - link to the publication
  6. Presqu'un immeuble pour le groupe des automorphismes moderes
    Authors:
    Stéphane Lamy, Piotr Przytycki
    Academic press:
    Annales Henri Lebesgue (rok: 2021, ), Wydawca: Univ. Rennes 1, ENS Rennes, Ann. H. Lebesgue
    Status:
    Accepted for publication
  7. 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: 2020, ), Wydawca: AMER MATHEMATICAL SOC, 201 CHARLES ST, PROVIDENCE, RI 02940-2213 USA
    Status:
    Accepted for publication
  8. Torsion groups do not act on 2-dimensional CAT(0) complexes
    Authors:
    Sergey Norin, Damian Osajda, Piotr Przytycki
    Academic press:
    Duke Mathematical Journal , Wydawca: Duke Univ. Press
    Status:
    Accepted for publication
  9. A combination theorem for combinatorially non-positively curved complexes of hyperbolic groups
    Authors:
    Alexandre Martin, Damian Osajda
    Academic press:
    MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY (rok: 2020, tom: first view, strony: 12055), Wydawca: CAMBRIDGE UNIV PRESS, 32 AVENUE OF THE AMERICAS, NEW YORK, NY 10013-2473 USA
    Status:
    Published
    DOI:
    10.1017/S0305004119000446 - link to the publication
  10. Acylindrical hyperbolicity of the three-dimensional tame automorphism group
    Authors:
    Stéphane Lamy, Piotr Przytycki
    Academic press:
    Annales Scientifiques de l'École Normale Supérieure (rok: 2019, tom: 52, strony: 367–392), Wydawca: Soc. Mathematique France
    Status:
    Published
    DOI:
    10.24033/asens.2390 - link to the publication
  11. Classifying spaces for families of subgroups for systolic groups
    Authors:
    Damian Osajda, Tomasz Prytuła
    Academic press:
    Groups Geometry and Dynamics (rok: 2016, tom: 12, strony: 1005-1060), Wydawca: EUROPEAN MATHEMATICAL SOC, PUBLISHING HOUSE, E T H-ZENTRUM SEW A27, SCHEUCHZERSTRASSE 70, CH-8092 ZURICH, SWITZERLAND
    Status:
    Published
    DOI:
    10.4171/GGD/461 - link to the publication
  12. Cubulating random groups in the square model
    Authors:
    Tomasz Odrzygóźdź
    Academic press:
    Israel Journal of Mathematics (rok: 2019, tom: 227, strony: 623–661), Wydawca: HEBREW UNIV MAGNES PRESS, PO BOX 39099, JERUSALEM 91390, ISRAEL
    Status:
    Published
    DOI:
    10.1007/s11856-018-1734-9 - link to the publication
  13. Lower bounds on cubical dimension of C'(1/6) groups
    Authors:
    Kasia Jankiewicz
    Academic press:
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY (rok: 2020, tom: 148, strony: 3293-3306), Wydawca: AMER MATHEMATICAL SOC, 201 CHARLES ST, PROVIDENCE, RI 02940-2213 USA
    Status:
    Published
    DOI:
    10.1090/proc/15013 - link to the publication
  14. Metric systolicitiy and two-dimensional Artin groups
    Authors:
    Jingyin Huang, Damian Osajda
    Academic press:
    Mathematische Annalen (rok: 2019, tom: 374, 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
  15. A step towards Twist Conjecture
    Authors:
    Jingyin Huang, Piotr Przytycki
    Academic press:
    Documenta Mathematica (rok: 2018, tom: 23, strony: 2081-2100), Wydawca: UNIV BIELEFELD, UNIV BIELEFELD, FAKULTAT MATHEMATIK, POSTFACH 100131, BIELEFELD, D-33501, GERMANY
    Status:
    Published
    DOI:
    10.25537/dm.2018v23.2081-2100 - link to the publication
  16. Bredon cohomological dimension for virtually abelian stabilisers for CAT(0) groups
    Authors:
    Tomasz Prytuła
    Academic press:
    JOURNAL OF TOPOLOGY AND ANALYSIS (rok: 2020, tom: first view, strony: 45304), Wydawca: WORLD SCIENTIFIC PUBL CO PTE LTD, 5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE
    Status:
    Published
    DOI:
    10.1142/S1793525320500284 - link to the publication
  17. Cocompactly cubulated 2-dimensional Artin groups
    Authors:
    Jingyin Huang,Kasia Jankiewicz, Piotr Przytycki
    Academic press:
    COMMENTARII MATHEMATICI HELVETICI (rok: 2016, tom: 91, strony: 519-542), Wydawca: EUROPEAN MATHEMATICAL SOC, PUBLISHING HOUSE, E T H-ZENTRUM SEW A27, SCHEUCHZERSTRASSE 70, CH-8092 ZURICH, SWITZERLAND
    Status:
    Published
    DOI:
    10.4171/CMH/394 - link to the publication
  18. Dismantlable classifying space for the family of parabolic subgroups of a relatively hyperbolic group
    Authors:
    Eduardo Martinez-Pedroza, Piotr Przytycki
    Academic press:
    JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU (rok: 2019, tom: 18, strony: 329–345), Wydawca: CAMBRIDGE UNIV PRESS, EDINBURGH BLDG, SHAFTESBURY RD, CB2 8RU CAMBRIDGE, ENGLAND
    Status:
    Published
    DOI:
    10.1017/S147474801700010X - link to the publication
  19. Group cubization
    Authors:
    Damian Osajda
    Academic press:
    Duke Mathematical Journal (rok: 2018, tom: 167, strony: 1049-1055), Wydawca: Duke Univ. Press
    Status:
    Published
    DOI:
    10.1215/00127094-2017-0051 - link to the publication
  20. Arcs on spheres intersecting at most twice
    Authors:
    Piotr Przytycki, Christopher Smith
    Academic press:
    Indiana University Mathematics Journal (rok: 2019, tom: 68, strony: 157–178), Wydawca: Indiana University Math. Journal
    Status:
    Published
    DOI:
    10.1512/iumj.2019.68.7565 - link to the publication
  21. COMPLETENESS OF THE HOMEOMORPHISM RELATION OF LOCALLY CONNECTED CONTINUA
    Authors:
    Tomasz Cieśla
    Academic press:
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY (rok: 2019, tom: 147, strony: 1269-1276), Wydawca: AMER MATHEMATICAL SOC, 201 CHARLES ST, PROVIDENCE, RI 02940-2213 USA
    Status:
    Published
    DOI:
    10.1090/proc/14245 - link to the publication
  22. Hyperfiniteness of boundary actions of cubulated hyperbolic groups
    Authors:
    Jingyin Huang, Marcin Sabok, Forte Shinko
    Academic press:
    ERGODIC THEORY AND DYNAMICAL SYSTEMS (rok: 2019, tom: first view, strony: 45305), Wydawca: CAMBRIDGE UNIV PRESS, 32 AVENUE OF THE AMERICAS, NEW YORK, NY 10013-2473 USA
    Status:
    Published
    DOI:
    10.1017/etds.2019.5 - link to the publication
  23. Mixed 3-manifolds are virtually special
    Authors:
    Piotr Przytycki, Daniel T. Wise
    Academic press:
    Journal of the American Mathematical Society (rok: 2018, tom: 31, strony: 319-347), Wydawca: AMER MATHEMATICAL SOC, 201 CHARLES ST, PROVIDENCE, RI 02940-2213 USA
    Status:
    Published
    DOI:
    10.1090/jams/886 - link to the publication
  24. Solvable Subgroup Theorem for simplicial nonpositive curvature
    Authors:
    Tomasz Prytuła
    Academic press:
    International Journal of Algebra and Computation (rok: 2018, tom: 28, strony: 605-611), Wydawca: WORLD SCIENTIFIC PUBL CO PTE LTD, 5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE
    Status:
    Published
    DOI:
    10.1142/S0218196718500273 - link to the publication
  25. Two-dimensional systolic complexes satisfy Property A
    Authors:
    Nima Hoda, Damian Osajda
    Academic press:
    INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION (rok: 2018, tom: 28, strony: 1247-1254), Wydawca: WORLD SCIENTIFIC PUBL CO PTE LTD, 5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE
    Status:
    Published
    DOI:
    10.1142/S021819671850056X - link to the publication
  26. Bent walls for random groups in the square and hexagonal model
    Authors:
    Tomasz Odrzygóźdź
    Academic press:
    Mathematical Journal of International Scope , Wydawca: International Publishing Company
    Status:
    Submitted
  27. 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
  28. The Hrushovski property for hypertournaments and profinite topologies
    Authors:
    Jingyin Huang, Michael Pawliuk, Marcin Sabok, Daniel T. Wise
    Academic press:
    Journal OF THE LONDON MATHEMATICAL SOCIETY (rok: 2019, tom: 100, strony: 757-774), Wydawca: OXFORD UNIV PRESS, GREAT CLARENDON ST, OXFORD OX2 6DP, ENGLAND
    Status:
    Published
    DOI:
    10.1112/jlms.12244 - link to the publication
  29. Measurable Hall's theorem for actions of abelian groups
    Authors:
    Tomasz Cieśla, Marcin Sabok
    Academic press:
    Mathematical Journal of International Scope (rok: 2019, ), Wydawca: International Publishing Company
    Status:
    Submitted