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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Biinvariant metrics on groups: geometry and dynamics

2017/27/B/ST1/01467

Keywords:

biinvariant metrics quasimorphisms biorders on groups

Descriptors:

  • ST1_2: Algebra
  • ST1_5: Geometry
  • ST1_7: Lie groups, Lie algebras

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. Światosław Gal 

Number of co-investigators in the project: 2

Call: OPUS 14 - announced on 2017-09-15

Amount awarded: 314 800 PLN

Project start date (Y-m-d): 2018-06-26

Project end date (Y-m-d): 2023-03-25

Project duration:: 57 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. LAPTOP LENOVO THINKBOOK 13SIWL.
  2. Laptop (4 000 PLN)
  3. Laptop HP 14s.

Information in the final report

  • Publication in academic press/journals (8)
  1. Bohr compactifications of groups and rings
    Authors:
    Jakub Gismatullin, Grzegorz Jagiella, Krzysztof Krupiński
    Academic press:
    The Journal of Mathematical Logic , Wydawca: World Scientific
    Status:
    Accepted for publication
    DOI:
    10.1017/jsl.2022.10 - link to the publication
  2. A refinement of bounded cohomology
    Authors:
    Światosław R. Gal, Jarek Kędra
    Academic press:
    Annales de l'Institut Fourier , Wydawca: Association des Annales de l'Institut Fourier
    Status:
    Submitted
    DOI:
    brak - link to the publication
  3. On approximation properties of semidirect products of groups
    Authors:
    Goulnara Arzhantseva; Światosław R. Gal
    Academic press:
    Annales Mathématiques Blaise Pascal (rok: 2020, tom: 27, strony: 125-130), Wydawca: Laboratoire de Mathématiques Blaise Pascal (UMR 6620-CNRS)
    Status:
    Published
    DOI:
    10.5802/ambp.386 - link to the publication
  4. On Lipschitz functions on groups equipped with conjugation-invariant norms
    Authors:
    Jarek Kędra
    Academic press:
    Colloquim Mathematicum , Wydawca: IM PAN
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  5. On simplicity of metric ultraproducts of groups
    Authors:
    Jakub Gismatullin, Krzysztof Majcher, Martin Ziegler
    Academic press:
    Advances in Mathematics , Wydawca: Elsevier
    Status:
    Submitted
    DOI:
    brak - link to the publication
  6. Reflection length with two parameters in the asymptotic representation theory of type B/C and applications
    Authors:
    Marek Bożejko, Maciej Dołęga, Wiktor Ejsmont, Światosław R. Gal
    Academic press:
    Journal of Functional Analysis (rok: 2023, tom: 284, strony: Paper No. 109797, 47), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2022.109797 - link to the publication
  7. On Dual surjunctivity and applications
    Authors:
    Doucha, J.Gismatullin J.
    Academic press:
    GROUPS, GEOMETRY, AND DYNAMICS , Wydawca: Euopean Mathematical Society
    Status:
    Accepted for publication
    DOI:
    10.4171/GGD/681 - link to the publication
  8. Finite index subgroups in Chevalley groups are bounded: an addendum to "On bi-invariant word metrics"
    Authors:
    Światosław R. Gal, Jarek Kędra, Alexander A. Trost
    Academic press:
    Journal of Topology and Analysis , Wydawca: World Scientific
    Status:
    Submitted
    DOI:
    10.1142/S1793525323500115 - link to the publication

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