On cohomological systems of Galois representations

Wojciech Gajda; Sebastian Petersen

Banach Center Publications (2016)

  • Volume: 108, Issue: 1, page 49-62
  • ISSN: 0137-6934

Abstract

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The paper contains an expanded version of the talk delivered by the first author during the conference ALANT3 in Będlewo in June 2014. We survey recent results on independence of systems of Galois representations attached to ℓ-adic cohomology of schemes. Some other topics ranging from the Mumford-Tate conjecture and the Geyer-Jarden conjecture to applications of geometric class field theory are also considered. In addition, we have highlighted a variety of open questions which can lead to interesting research in near future.

How to cite

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Wojciech Gajda, and Sebastian Petersen. "On cohomological systems of Galois representations." Banach Center Publications 108.1 (2016): 49-62. <http://eudml.org/doc/286099>.

@article{WojciechGajda2016,
abstract = {The paper contains an expanded version of the talk delivered by the first author during the conference ALANT3 in Będlewo in June 2014. We survey recent results on independence of systems of Galois representations attached to ℓ-adic cohomology of schemes. Some other topics ranging from the Mumford-Tate conjecture and the Geyer-Jarden conjecture to applications of geometric class field theory are also considered. In addition, we have highlighted a variety of open questions which can lead to interesting research in near future.},
author = {Wojciech Gajda, Sebastian Petersen},
journal = {Banach Center Publications},
keywords = {Mumford-Tate conjecture; geometric Galois representations; geometric class field theory},
language = {eng},
number = {1},
pages = {49-62},
title = {On cohomological systems of Galois representations},
url = {http://eudml.org/doc/286099},
volume = {108},
year = {2016},
}

TY - JOUR
AU - Wojciech Gajda
AU - Sebastian Petersen
TI - On cohomological systems of Galois representations
JO - Banach Center Publications
PY - 2016
VL - 108
IS - 1
SP - 49
EP - 62
AB - The paper contains an expanded version of the talk delivered by the first author during the conference ALANT3 in Będlewo in June 2014. We survey recent results on independence of systems of Galois representations attached to ℓ-adic cohomology of schemes. Some other topics ranging from the Mumford-Tate conjecture and the Geyer-Jarden conjecture to applications of geometric class field theory are also considered. In addition, we have highlighted a variety of open questions which can lead to interesting research in near future.
LA - eng
KW - Mumford-Tate conjecture; geometric Galois representations; geometric class field theory
UR - http://eudml.org/doc/286099
ER -

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