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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Arithmetic properties of Galois representations and abelian varieties

2012/07/B/ST1/03541

Keywords:

geometric Galois representation abelian variety elliptic curve

Descriptors:

  • ST1_3: Number theory
  • ST1_2: Algebra
  • ST1_4: Algebraic and complex 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 im. Adama Mickiewicza w Poznaniu, Wydział Matematyki i Informatyki

woj. wielkopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Wojciech Gajda 

Number of co-investigators in the project: 4

Call: OPUS 4 - announced on 2012-09-15

Amount awarded: 162 400 PLN

Project start date (Y-m-d): 2013-07-11

Project end date (Y-m-d): 2015-07-10

Project duration:: 24 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Komputer stacjonarny iMac 21,5 firmy Apple (7 000 PLN)
  2. oprogramowanie: przedłużenie licencji pakietu MAGMA, MS Office for Mac. (2 000 PLN)

Information in the final report

  • Publication in academic press/journals (4)
  1. New examples of determinant divsibility sequences
    Authors:
    K.Górnisiewicz
    Academic press:
    Integers (rok: 2016, tom: 16, strony: 5 str.), Wydawca: de Gruyter
    Status:
    Published
  2. On cohomological systems of Galois representations
    Authors:
    W, Gajda, S.Petersen
    Academic press:
    Banach Centre Publs. (rok: 2016, tom: 108, strony: 49-62), Wydawca: IMPAN
    Status:
    Published
  3. Divisibility sequences of polynomials and heights estimates
    Authors:
    Bartosz Naskręcki
    Academic press:
    New York Journal of Mathematics New York J. Math. (rok: 2016, tom: 22, strony: 989–1020), Wydawca: brak
    Status:
    Published
  4. Independence of \ell-adic representations of geometric Galois groups
    Authors:
    G. Böckle, W.Gajda and S. Petersen
    Academic press:
    Jour. für die reine und angew. Mathematik (Crelle Journal) (rok: 2015, tom: brak, strony: 26 str.), Wydawca: de Gruyter
    Status:
    Published
    DOI:
    10.1515/crelle-2015-0024 - link to the publication