Berkeley Lectures on p-adic Geometry:(AMS-207)

P Scholze, J Weinstein - 2020 - torrossa.com
The starting point for this course is Drinfeld's work [Dri80] on the global Langlands
correspondence over function fields. Fix X/Fp a smooth projective curve, with function field K …

Étale cohomology of diamonds

P Scholze - arXiv preprint arXiv:1709.07343, 2017 - arxiv.org
Motivated by problems on the\'etale cohomology of Rapoport--Zink spaces and their
generalizations, as well as Fargues's geometrization conjecture for the local Langlands …

Geometrization of the local Langlands correspondence

L Fargues, P Scholze - arXiv preprint arXiv:2102.13459, 2021 - arxiv.org
Following the idea of [Far16], we develop the foundations of the geometric Langlands
program on the Fargues--Fontaine curve. In particular, we define a category of $\ell $-adic …

-adic Hodge theory for rigid-analytic varieties

P Scholze - Forum of Mathematics, Pi, 2013 - cambridge.org
p-ADIC HODGE THEORY FOR RIGID-ANALYTIC VARIETIES Page 1 Forum of Mathematics, Pi
(2013), Vol. 1, e1, 77 pages doi:10.1017/fmp.2013.1 1 p-ADIC HODGE THEORY FOR …

[PDF][PDF] Geometrization of the local Langlands correspondence: an overview

L Fargues - arXiv preprint arXiv:1602.00999, 2016 - arxiv.org
arXiv:1602.00999v1 [math.NT] 2 Feb 2016 Page 1 arXiv:1602.00999v1 [math.NT] 2 Feb 2016
GEOMETRIZATION OF THE LOCAL LANGLANDS CORRESPONDENCE: AN OVERVIEW …

[PDF][PDF] Représentations de GL2 (Qp) et (ϕ, Γ)-modules

P Colmez - Astérisque, 2010 - webusers.imj-prg.fr
Let L be a finite extension of Qp. We construct a (p-adic local Langlands) correspondence
attaching to any irreducible, 2-dimensional, L-representation of GQp, a unitary, admissible …

Représentations p-adiques et équations différentielles

L Berger - Inventiones mathematicae, 2002 - Springer
In this paper, we associate to every p-adic representation V ap-adic differential equation D†
rig (V), that is to say a module with a connection over the Robba ring. We do this via the …

Crystalline representations and F-crystals

M Kisin - Algebraic geometry and number theory: in honor of …, 2006 - Springer
Following ideas of Berger and Breuil, we give a new classification of crystalline
representations. The objects involved may be viewed as local, characteristic 0 analogues of …

Familles de représentations de de Rham et monodromie p-adique

L Berger, P Colmez - Astérisque, 2008 - hal.science
On donne une formalisation de la méthode de Sen pour les représentations $ p $-adiques.
Comme application de ces techniques, on montre que (1) toute représentation $ p $-adique …

Study of decays involving kaons, spectral functions and determination of the strange quark mass

ALEPH collaboration, R Barate - … Physical Journal C-Particles and Fields, 1999 - Springer
All ALEPH measurements of branching ratios of τ decays involving kaons are summarized
including a combination of results obtained with K^0_S and K^0_L detection. The decay …