Fargues math

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August undefined, 2024

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 ... 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 ...

The categorical form of Fargues

WebApr 12, 2024 · Reality is a Paradox. Posted on April 12, 2024 by woit. Lex Fridman’s latest podcast features a nearly four hour long conversation with Edward Frenkel, under the title Reality is a Paradox – Mathematics, Physics, Truth & Love. Normally I’m fairly allergic to hearing mathematicians or physicists publicly sharing their wisdom about the ... Web1 French Land Register data, which excludes lakes, ponds, glaciers > 1 km 2 (0.386 sq mi or 247 acres) and river estuaries. Fargues ( French pronunciation: [faʁɡ]; Occitan: … most profitable trucking companies

2024 Summer School on the Langlands program - IHES

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.) … Web1.1. 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))) … Webmath.bu.edu most profitable trading systems

THE FARGUES–FONTAINE CURVE AND DIAMONDS [d’après …

Fargues math

FARGUES{FONTAINE CURVE - Columbia University

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 WebSep 13, 2024 · As far as I understand it, the main goal of the recent work of Fargues and Scholze on the geometrization conjecture is to show that the local Langlands conjecture …

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WebNov 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 … 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: …

Laurent Fargues (born 19 July 1975 in Cagnes-sur-Mer) is a French mathematician working in number theory and arithmetic geometry. Fargues was an invited speaker at the International Congress of Mathematicians in 2024 in Rio de Janeiro. WebFeb 26, 2024 · Laurent Fargues Mathematics 2006 Ce livre contient une demonstration detaillee et complete de l'existence d'un isomorphisme equivariant entre les tours p-adiques de Lubin-Tate et de Drinfeld. Le resultat est etabli en egales et… Expand 91 PDF

WebLaurent Fargues will study the p-adic geometry of Shimura varieties and moduli spaces of p-divisible groups for the purpose of developing a theory of p-adic automorphic forms on … 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 …

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 …

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. minimal business casual wardrobeWebFeb 2, 2024 · 3. In this paper, Pierre Colmez wrote about some history of the Fargue-Fontaine curve. In this schedule of London Number Theory Study Group, Fargues was said to give a talk on November 15th on " Where does the curve and the conjecture come from? What happened in Trieste, Orsay and Berkeley? ". " What happened in Trieste " is well … most profitable twitch streamersWeb2 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 … most profitable tree farming in indiaWebJul 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 ... most profitable type of farmingWebSéminaire 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 ... most profitable trees for lumberWebJun 2, 2024 · In the study of the arithmetic local Langlands correspondence, there is a conjecture that was recently (in this decade) formulated by Fargues. I can't even … minimal by falonfonWebJul 29, 2024 · The Fargues-Scholze work relates arithmetic and the central objects in geometric Langlands involving categories of bundles over curves. These categories in turn are related (in work of Witten and collaborators) to 4d TQFTs based on twistings of N=4 super Yang-Mills. ... Just by studying mathematics we can hope to make a guess at the … most profitable type of construction business