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On cohomological systems of Galois representations

100%

Gajda W., Petersen S.

Banach Center Publications

2016

tom 108

nr 1

49-62

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.

The S1-CW decomposition of the geometric realization of a cyclic set

100%

Fiedorowicz Z., Gajda W.

Fundamenta Mathematicae

1994

tom 145

nr 1

91-100

We show that the geometric realization of a cyclic set has a natural, $S^1$-equivariant, cellular decomposition. As an application, we give another proof of a well-known isomorphism between cyclic homology of a cyclic space and $S^1$-equivariant Borel homology of its geometric realization.

Ograniczanie wyników

1 Banach Center Publications

1 Fundamenta Mathematicae

2 Gajda W.

1 Fiedorowicz Z.

1 Petersen S.

1 2016

1 1994

Wyniki wyszukiwania

On cohomological systems of Galois representations

The S1-CW decomposition of the geometric realization of a cyclic set