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pro vyhledávání: '"Pierre Colmez"'
Autor:
Pierre Colmez
Publikováno v:
L’Enseignement Mathématique. 65:487-531
Publikováno v:
Inventiones mathematicae. 219:873-985
We compute p-adic etale and pro-etale cohomologies of Drinfeld half-spaces. In the pro-etale case, the main input is a comparison theorem for p-adic Stein spaces; the cohomology groups involved here are much bigger than in the case of etale cohomolog
Publikováno v:
Duke Mathematical Journal
Duke Mathematical Journal, 2021
Duke Mathematical Journal, Duke University Press, 2021
Duke Mathematical Journal, 2021
Duke Mathematical Journal, Duke University Press, 2021
We compute the integral p-adic etale cohomology of Drinfeld symmetric spaces of any dimension. This refines the computation of the rational p-adic etale cohomology from our recent work on Stein spaces. The main tools are: the computation of the integ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::46a8eaef963bb63d7fbeca5bfc56af1a
https://hal.science/hal-02387669
https://hal.science/hal-02387669
Autor:
Pierre Colmez
Publikováno v:
Journal of the European Mathematical Society. 21:797-838
Autor:
Pierre Colmez, Jean-Pierre Serre
The book is a bilingual (French and English) edition of the mathematical correspondence between A. Grothendieck and J-P. Serre. The original French text of 84 letters is supplemented here by the English translation, with French text printed on the le
Autor:
Pierre Colmez
Publikováno v:
Bulletin of the American Mathematical Society. 54:559-573
The Serre–Tate correspondence contains a lot of Tate’s work in a casual form. We present some excerpts that show how some of Tate’s best known contributions came into being.
Autor:
Pierre Colmez, Wiesława Nizioł
Publikováno v:
Simons Symposia ISBN: 9783030438432
p-adic Hodge Theory. Simons Symposia.
p-adic Hodge Theory. Simons Symposia., pp.71-80, 2020, ⟨10.1007/978-3-030-43844-9_2⟩
p-adic Hodge Theory. Simons Symposia.
p-adic Hodge Theory. Simons Symposia., pp.71-80, 2020, ⟨10.1007/978-3-030-43844-9_2⟩
International audience; — We compute the p-adic geometric pro-étale cohomology of the rigid analytic affine space (in any dimension). This cohomology is non-zero, contrary to the étale cohomology, and can be described by means of differential for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b82bff7066691c8a0ffa4c77a1e0a10c
https://doi.org/10.1007/978-3-030-43844-9_2
https://doi.org/10.1007/978-3-030-43844-9_2
Autor:
Pierre Colmez
Publikováno v:
Representation Theory of the American Mathematical Society. 20:187-248
We extend the p p -adic local Langlands correspondence for GL 2 ( Q p ) \textbf {GL}_2(\mathbf {Q}_p) to a correspondence Δ ↦ Π ( Δ ) \Delta \mapsto \Pi (\Delta ) between ( φ , Γ ) (\varphi ,\Gamma ) -modules of rank 2 2 over the Robba ring an
Autor:
Pierre Colmez, Chandrashekhar Khare
Publikováno v:
Notices of the American Mathematical Society. 67:1
Autor:
Gabriel Dospinescu, Pierre Colmez
Publikováno v:
Algebra & Number Theory. 8:1447-1519
Let Pi be a unitary representation of GL_2(Q_p), topologically of finite length. We describe the sub-representation Pi^{an} made of its locally analytic vectors, and its filtration by radius of analyticity, in terms of the phi-Gamma module attached t