Fargues-scholze

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August undefined, 2024

WebJun 20, 2024 · Teruhisa Koshikawa. Using the work of Fargues-Scholze, we prove a vanishing theorem for the generic unramified part of the cohomology of local Shimura varieties of general linear groups. This gives an alternative approach to vanishing results of Caraiani-Scholze for the cohomology of unitary Shimura varieties. Subjects: WebCOMPATIBILITY OF THE FARGUES–SCHOLZE CORRESPONDENCE FOR UNITARY GROUPS ALEXANDERBERTOLONIMELI,LINUSHAMANN,ANDKIEUHIEUNGUYEN …

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WebI’m heading out soon for a 10 day vacation in the Rocky Mountains, blogging likely to change from sparse to non-existent for the next couple weeks. WebCompatibility of the Fargues-Scholze and Gan-Takeda Local Langlands The Fargues-Scholze LLC and compatibility for G= GLn Definition 1 Let µ∈X ∗(G Q p)+ be a … corner remover

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WebCompatibility of the Fargues-Scholze and Gan-Takeda Local Langlands Correspondences The Fargues-Scholze LLC and compatibility for G= GLn De nition 1 Let 2X (G Q p)+ be … WebJun 12, 2024 · Laurent Fargues has posted notes for the summer school (written with Peter Scholze). They comment at the end that “it still remains to find an archimedean analog” … WebJul 4, 2024 · This is another motivation for the appearance of the Fargues-Fontaine curve in the Fargues-Scholze geometrization of the local Langlands correspondence. Related concepts. p-adic Hodge theory. local Langlands correspondence. References. Jared Weinstein, The Fundamental Curve of p-adic Hodge Theory, or How to Un-tilt a Tilted Field corner road meaning

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WebFeb 26, 2024 · We prove a generalization of the Jacobian criterion of Fargues-Scholze for spaces of sections of a smooth quasi-projective variety over the Fargues-Fontaine curve … WebJun 2, 2024 · In the course of the Berkeley conference, Fargues worked out a reformulation of the above story using the Fargues-Fontaine curve, yielding his geometrization … corner rightWebFargues-Scholze: Combining this with ideas of V. La orgue, get a construction associating a semisimple L-parameter with any irreducible smooth representation of any G(F), giving a candidate for the local Langlands correspondence. David Hansen On the Kottwitz conjecture for local shtuka spaces 6/25. fanny caris

"WebSep 2, 2024 · For and its inner forms, Fargues-Scholze and Hansen-Kaletha-Weinstein showed that the correspondence is compatible with the correspondence of Harris-Taylor/Henniart. We verify a similar compatibility for and its unique non-split inner form , where is the quaternion division algebra over , assuming that is unramified and . " - Fargues-scholze

Fargues-scholze

Geometrization of the local Langlands correspondence

http://math.bu.edu/people/jsweinst/rampage/Hemo.pdf WebJan 29, 2024 · A major development of the past few years has been the recent proof by Fargues and Scholze that the arithmetic local Langlands conjecture at a point can be formulated in terms of the geometric Langlands conjecture on the Fargues-Fontaine curve. Back in 2015 Laurent Fargues gave a talk at Columbia on “p-adic twistors”.

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WebVortrag zur Fields-Medaille für Peter Scholze. ... Forschungsinstitut Oberwolfach ein Workshop über die Reduktion von Shimura-Varietäten statt, der von Laurent Fargues, Eva Viehmann, Torsten Wedhorn und mir organisiert wird. Oberwolfach workshop Reduction of Shimura varieties. WebG-bundles. Recently, Fargues and Scholze constructed a general candidate for the local Langlands correspondence by doing geometric Langlands on the Fargues-Fontaine …

WebApr 13, 2024 · Fargues and Scholze for quite a few years now have been working on a project that realizes this vision, relating the arithmetic local Langlands conjecture to geometric Langlands on the Fargues-Fontaine curve. Their joint paper on the subject has just appeared [arXiv version here]. It weighs in at 348 pages and absorbing its ideas … WebFargues–Scholze is to propose a uniform local Langlands correspondence, constructing a map π7→ϕ π, which comes out of some more powerful structure and which we hope …

WebFeb 11, 2024 · From another side of the geometric Langlands world, Peter Scholze is continuing his lectures on his ongoing work with Laurent Fargues that reformulates the local Langlands correspondence in terms of geometric Langlands on … WebNov 1, 2024 · There's also the Fargues-Scholze local Langlands paper, which is a major development in its area. There are a few other applications, which seem to show up in …

WebMar 31, 2024 · Recently, Fargues and Scholze attached a semi-simple L-parameter to any smooth irreducible representation of a p-adic reductive group, realizing the local Langlands correspondence as a geometric Langlands correspondence over the Fargues-Fontaine curve. They conjectured that there should exist an analogue of the geometric Langlands …

WebTHE WORK OF PETER SCHOLZE M. RAPOPORT arXiv:1909.07222v1 [math.NT] 13 Sep 2024 Abstract. He has developed powerful methods in algebraic geometry over p-adic fields, and has proved striking theorems in this area. My purpose here is to convey some idea of the accomplishments of Peter Scholze for which he was awarded the Fields medal. corner ridge real estatehttp://math.bu.edu/people/jsweinst/rampage/Hamann.pdf corner road mirrorWebJan 16, 2024 · Abstract. We construct a new cohomology theory for proper smooth (formal) schemes over the ring of integers of \mathbf {C}_ {p}. It takes values in a mixed-characteristic analogue of Dieudonné modules, which was previously defined by Fargues as a version of Breuil–Kisin modules. Notably, this cohomology theory specializes to all … fanny caroffWebAs a consequence, we canonically lift Fargues–Scholze's construction to a non-semisimplified local Langlands correspondence for local fields of characteristic p ≥ 5. We also deduce that Fargues–Scholze's construction agrees with that of Genestier–Lafforgue, answering a question of Fargues–Scholze, Hansen, Harris, and Kaletha. The ... corner road signWebOct 20, 2024 · S=T for Shimura Varieties and Moduli Spaces of p-adic Shtukas. Zhiyou Wu. We prove the conjecture proposed by Xiao-Zhu in \cite {2024arXiv170705700X}, making use of Scholze's theory of diamonds and v-stacks and Fargues-Scholze's geometric Satake equivalence. We deduce the Eichler-Shimura relation for Shimura varieties of Hodge type. fanny carles soldevilaWebFargues-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 … fanny carletWeb1 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: … fanny cardoze nutrition fitness center