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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Differential operators over non commutative algebras

2016/21/B/ST1/02438

Keywords:

noncommutative geometry spectral triples cyclic cohomology mathematical physics

Descriptors:

  • ST1_9: Operator algebras and functional analysis
  • ST1_12: Mathematical methods of physics

Panel:

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

Host institution :

Uniwersytet Jagielloński, Wydział Fizyki, Astronomii i Informatyki Stosowanej

woj. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Andrzej Sitarz 

Number of co-investigators in the project: 4

Call: OPUS 11 - announced on 2016-03-15

Amount awarded: 143 200 PLN

Project start date (Y-m-d): 2017-01-27

Project end date (Y-m-d): 2019-09-26

Project duration:: 32 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 przenośny. (8 000 PLN)

Information in the final report

  • Publication in academic press/journals (8)
  • Articles in post-conference publications (5)
  1. Fermion masses, mass-mixing and the almost commutative geometry of the Standard Model
    Authors:
    Ludwik Dąbrowski, Andrzej Sitarz
    Academic press:
    J. High Energ. Phys (rok: 2019, tom: 2019:68, strony: -), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/JHEP02(2019)068 - link to the publication
  2. On almost commutative Friedmann-Robertson-Walker geometries.
    Authors:
    Andrzej Sitarz
    Academic press:
    Claasical and Quantum Gravity (rok: 2019, tom: 36, strony: 195007), Wydawca: IOP
    Status:
    Published
    DOI:
    10.1088/1361-6382/ab3d53 - link to the publication
  3. The Standard Model in noncommutative geometry: fundamental fermions as internal forms
    Authors:
    Ludwik Dąbrowski, Francesco D'Andrea, Andrzej Sitarz
    Academic press:
    Letters in Mathematical Physics (rok: 2018, tom: 108,5, strony: 1323-1340), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11005-019-01204-9 - link to the publication
  4. Fermionic spectral action and the origin of nonzero neutrino masses
    Authors:
    Mairi Sakellariadou and Andrzej Sitarz
    Academic press:
    Physics Letters B (rok: 2019, tom: B795, strony: 351–355), Wydawca: IOP
    Status:
    Published
    DOI:
    10.1016/j.physletb.2019.06.037 - link to the publication
  5. Finite pseudo-Riemannian spectral triples and the standard model
    Authors:
    Arkadiusz Bochniak, Andrzej Sitarz
    Academic press:
    Physical Review D (rok: 2018, tom: 97, strony: 115029), Wydawca: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevD.97.115029 - link to the publication
  6. On twisted reality conditions
    Authors:
    omasz Brzezinski, ·Ludwik Dabrowski, Andrzej Sitarz
    Academic press:
    Letters in Mathematical Physics (rok: 2019, tom: 109, strony: 643–659), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11005-018-1120-x - link to the publication
  7. TRUSSES: BETWEEN BRACES AND RINGS
    Authors:
    Tomasz Brzezinski
    Academic press:
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY (rok: 2018, tom: -, strony: -), Wydawca: AMS
    Status:
    Published
    DOI:
    10.1090/tran/7705 - link to the publication
  8. SPECTRAL TRIPLES WITH MULTITWISTED REAL STRUCTURE.
    Authors:
    Ludwik Dąbrowski, Andrzej Sitarz
    Academic press:
    Journal of Noncommutative Geometry , Wydawca: European Mathematical Society Publishing House
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  1. A glimpse of noncommutative geometry
    Authors:
    Andrzej Sitarz
    Conference:
    Geometric Methods in Physics XXXVI (rok: 2017, ), Wydawca: Springer
    Data:
    konferencja lipiec
    Status:
    Published
  2. Skew derivations on down-up algebras
    Authors:
    Munerah Almulhem, Tomasz Brzeziński,
    Conference:
    Geometric Methods in Physics XXXVI (rok: 2017, ), Wydawca: Springer Nature Switzerland AG 2019
    Data:
    konferencja lipiec
    Status:
    Published
  3. Decompactifying spectral triples
    Authors:
    Andrzej Sitarz
    Conference:
    Geometric Methods in Physics XXXVI (rok: 2017, ), Wydawca: Springer
    Data:
    konferencja lipiec
    Status:
    Published
  4. Pseudo-Riemannian Spectral Triples for the Standard Model
    Authors:
    Arkadiusz Bochniak
    Conference:
    The XXII International Scientific Conference of Young Scientists and Specialists (AYSS-2018) (rok: 2019, ), Wydawca: EPJ Web of Conferences 201
    Data:
    konferencja 2018
    Status:
    Published
  5. Towards Semi-Trusses
    Authors:
    T.Brzezinski
    Conference:
    International Workshop on Differential Geometry and its Applications (September, 2017) (rok: 2017, ), Wydawca: Romanian Academy
    Data:
    konferencja September
    Status:
    Published

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