2024 Fargues math

Fargues math

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August undefined, 2024

WebOct 22, 2015 · 2 LECTURES BY LAURENT FARGUES 1. Introduction These are notes from the Fall 2015 lectures by Laurent Fargues on “Geometrization of the Local Langlands … WebInstitut de Mathématiques de Jussieu . 4, place Jussieu 75252 Paris cedex 05 Bureau 414 - 4ème étage, couloir 15-25 E-mail: [email protected] tel.: 01 44 27 37 71

Analytic geometry over F_1 and the Fargues-Fontaine curve

WebJun 11, 2024 · In 2014, Fargues conjectured that geometric Langlands works for the Fargues-Fontaine curve, and gives an extension of the local Langlands conjecture. This makes it possible to use the techniques of geometric representation theory to approach the local Langlands correspondence. WebSéminaire de Géométrie Algébrique du Bois Marie 1962-64 (SGA 3) Tome 1; Lecture Notes in Mathematics, 151. Springer, 1970, DOI 10.1007/BFb0058993, zbl 0207.51401. 10. L. Fargues, La filtration de Harder-Narasimhan des schémas en groupes finis et plats; J. Reine Angew. Math. 645:1-39, 2010, DOI 10.1515/CRELLE.2010.058, zbl 1199.14015 ... rams vs bengals super bowl youtube

The Fargues-Fontaine Curve (Math 205) - Harvard University

Webof the Fargues-Fontaine curve X FF. Let (K; ) 2Y be a characteristic zero untilt of C[, and choose an element 21+m[C such that 6= 1 and log([ ]) vanishes at K. It follows from the proof Corollary 5 that the principal ideal (log([ ])) is prime, and therefore corresponds to a point of the Fargues-Fontaine curve that we will denote by x K. Note ... WebApr 10, 2024 · Mathematics > Number Theory [Submitted on 10 Apr 2024 ( v1 ), last revised 14 May 2024 (this version, v2)] Averaging functors in Fargues' program for GL_n Johannes Anschütz, Arthur-César Le Bras We study the so-called averaging functors from the geometric Langlands program in the setting of Fargues' program. WebJan 21, 2024 · We prove that the category of (rigidified) Breuil–Kisin–Fargues modules up to isogeny is Tannakian. We then introduce and classify Breuil–Kisin–Fargues modules with complex multiplication mimicking the classical theory for rational Hodge structures. ... Anschütz, J., Reductive group schemes over the Fargues–Fontaine curve, Math. Ann ... overseas agent

Laurent Fargues - The Mathematics Genealogy Project

Moduli interpretation of Fargues-Fontaine curve

WebThe Relative Fargues-Fontaine Curve Notes by Tony Feng for a talk by Matthew Morrow April 6, 2016 The goals of this talk are to: 1.Deﬁne the relative curves Y S and X S = Y S =’Z for any S 2Perf F p. (To recover Y ad and Xad from before, put S = SpaC[p.) These will be adic spaces over SpaQ p:= Spa(Q p;Z p). 2.Describe the relation to ... WebFeb 26, 2024 · The categorical form of Fargues' conjecture for tori Konrad Zou We prove the main conjecture of arXiv:2102.13459 for integral coefficients in the case of tori. Along the way we prove that the spectral action as constructed in that manuscript is compatible with the action of the excursion algebra and preserves the grading by on both sides. rams vs bills live scoreWebNov 13, 2024 · Analytic geometry over F_1 and the Fargues-Fontaine curve. This paper develops a theory of analytic geometry over the field with one element. The approach used is the analytic counter-part of the Toen-Vaquie theory of schemes over F_1, i.e. the base category relative to which we work out our theory is the category of sets endowed with … rams vs bills score 2022

"WebThe Fargues-Fontaine Curve Time and place:MWF 9:00 - 9:50, APM 5402 Professor:Jacob Lurie The course syllabus. Lectures (Warning: these notes are sloppy. Use at own risk.) … " - Fargues math

Fargues math

$Not Even Wrong Page 9 - math.columbia.edu$

WebFeb 26, 2024 · Download a PDF of the paper titled Geometrization of the local Langlands correspondence, by Laurent Fargues and Peter Scholze Download PDF Abstract: … WebLaurent Fargues Published2010 Mathematics Abstract In this article we define and study a Harder-Narasimhan filtration of finite flat group schemes over an unequal characteristic …

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WebFargues-Scholze: the categories can be glued via the moduli stack of bundles on the Fargues-Fontaine curve X FF. The set of isomorphism classes of G-bundles on X FF identi es with B(G) (Fargues-Fontaine, Fargues). Today: a (simpler) alternative approach using sheaves on the Kottwitz stack, an algebro-geometric object arising naturally from ... WebLaurent Fargues Mathematics 2024 Starting from our work on Harder-Narasimhan filtrations of finite flat group schemes over a $p$-adic field, we developp a theory of …

WebSep 21, 2024 · Laurent Fargues, better known by her family name Laurent Fargues, is a popular French Journalist. Born on 19 June 1975 in France, Laurent Fargues started his career as Journalist . he is one of famous Journalist with the age 46 years old group. We recommend you to check the complete list of Famous Journalist. Webmath.bu.edu

WebOn the Fargues–Fontaine curve the situation is more complicated, as there exist non-decomposable “rational twists” O XFF F (λ), for λ∈Q (this is only a line bundle if λ∈Z; in … Web2 The Fargues-Fontaine curve 2.1 Informal description The p-adic comparison theorems for crystalline/de Rham/étale cohomology lead one to consider the category of pairs (W e;W+ dR) where W e is a free B e-module and W+ dR is a free B+ dR-module such that B dR Be W e = B dR + dR W+ dR: (In comparison theorems W e is the crystalline cohomology ...

Web2 The Fargues-Fontaine curve 2.1 Informal description The p-adic comparison theorems for crystalline/de Rham/étale cohomology lead one to consider the category of pairs (W …

WebNov 20, 2015 · Nadler explained that Fargues has recently conjectured that the local Langlands correspondence can be understood in terms of ideas from the geometric Langlands correspondence, using the Fargues-Fontaine curve. overseas aid cuts shameWeb1.1. Introduction. The Fargues{Fontaine curve is a geometric object that can be used to study local Langlands. Let Eand Kbe local elds (i.e., nite extensions of Q p, or F p((t))) … overseas agencyWebTopic: The Fargues-Fontaine Curve and Application To $p$-adic representations. Let $C$ be an algebraically closed perfectoid field over $\mathbb F_p$. The Fargues-Fontaine curve $X_C$ is a complete algebraic curve whose closed points parametrize the untilts of $C$. ... Lecture Notes in Mathematics, vol. 302, SpringerVerlag, Berlin ... rams vs bills live stream freeWebLecture 6: Definition of the Fargues-Fontaine Curve. Lecture 7: The Artin-Hasse Exponential. Lecture 8: The de Rham Period Ring. Lecture 9: Divisors. Lecture 10: … rams vs bills predictionsWebJun 23, 2024 · The next Summer School, organized by Pierre-Henri Chaudouard (IMJ-PRG), Wee Teck Gan (National Univ. of Singapore), Tasho Kaletha (Univ. of Michigan), and Yiannis Sakellaridis (Johns Hopkins Univ.), will focus on the Langlands program, an area of research still very active, for three weeks.It will be held at IHES from July 11 to 29, 2024.. … rams vs bills prediction 2022WebJul 3, 2024 · The Fargues-Fontaine curve is, in his schematic version, a noetherian regular scheme X of dimension 1 associated to a pair ( E, F), where E is a local field (i.e. complete w.r.t. a discrete valuation with finite residual field k, or, more concretely, a finite extension of Q p or k ( ( t))) and F an algebrically closed non-archimedean field of ... rams vs bills nfl footballWebContact Info: . School of Mathematical Sciences East China Normal University No. 500, Dong Chuan Road Shanghai, 200241, P.R.China. Office: Math building, Room 218 Tel: 86-21-54342646-218 Email: mfchen AT math.ecnu.edu.cn My CV can be found here.. Research interests: Rapoport-Zink spaces, affine Deligne-Lusztig varieties, p-adic period … overseas ahmedabad