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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Computational aspects of property (T)

2017/26/D/ST1/00103

Keywords:

property (T) spectral gap Laplace operator mathematical optimisation semi-definite programming

Descriptors:

  • ST1_9: Operator algebras and functional analysis
  • ST1_17: Applied mathematics
  • ST1_16: Numerical analysis

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Uniwersytet im. Adama Mickiewicza w Poznaniu, Wydział Matematyki i Informatyki

woj. wielkopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Marek Kaluba 

Number of co-investigators in the project: 4

Call: SONATA 13 - announced on 2017-06-14

Amount awarded: 292 710 PLN

Project start date (Y-m-d): 2018-04-17

Project end date (Y-m-d): 2021-04-16

Project duration:: 36 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. Monitor wysokiej klasy, mysz, klawiatura (2 400 PLN)
  2. Stacja Robocza (15 000 PLN)

Information in the final report

  • Publication in academic press/journals (4)
  • Articles in post-conference publications (1)
  1. On property (T) for Aut(Fn) and SLn(Z)
    Authors:
    Marek Kaluba, Dawid Kielak, Piotr Nowak
    Academic press:
    Annals of Mathematics (rok: 2021, tom: 193, strony: 539-562), Wydawca: Princeton University
    Status:
    Published
    DOI:
    10.4007/annals.2021.193.2.3 - link to the publication
  2. Constructions of exotic actions on product manifolds with an asymmetric factor
    Authors:
    Zbigniew Błaszczyk, Marek Kaluba
    Academic press:
    Kyoto Journal of Mathematics (rok: 2020, tom: --, strony: --), Wydawca: Duke University Press
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  3. Hyperbolic generalized triangle groups, property (T) and finite simple quotients
    Authors:
    Pierre-Emmanuel Caprace, Marston Conder, Marek Kaluba, Stefan Witzel
    Academic press:
    arXiv (rok: 2020, tom: -, strony: -), Wydawca: -
    Status:
    Submitted
    DOI:
    brak - link to the publication
  4. Aut(F₅) has property (T)
    Authors:
    Marek Kaluba, Piotr W. Nowak, Narutaka Ozawa
    Academic press:
    Mathematische Annalen (rok: 2019, tom: 375, strony: 1169-1191), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00208-019-01874-9 - link to the publication
  1. Polymake.jl: A New Interface to polymake
    Authors:
    Marek Kaluba, Benjamin Lorenz, Sascha Timme
    Conference:
    International Congress on Mathematical Software (rok: 2020, ), Wydawca: Springer
    Data:
    konferencja July 13-16
    Status:
    Published
    DOI:
    link to the publication

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