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Fargues-scholze

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 … 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”.

Research areas in group theory

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. WebFeb 7, 2024 · Welcome to the Hausdorff Center of Mathematics (HCM), a Cluster of Excellence at the University of Bonn. Based upon six units, the Cluster ranges from pure and applied mathematics to mathematically orientated research in economics as well as interdisciplinary research. Identifying and addressing mathematical challenges of the … is fission or fusion better https://aaph-locations.com

Geometrization of the local Langlands program 1

WebOct 15, 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. This sort of 4d QFT involves much the same ingredients as 4d QFTs … WebCOMPATIBILITY OF THE FARGUES–SCHOLZE CORRESPONDENCE FOR UNITARY GROUPS ALEXANDERBERTOLONIMELI,LINUSHAMANN,ANDKIEUHIEUNGUYEN … WebNov 7, 2024 · Since then, the main result of this article has been leveraged by other authors to complete parts of the Fargues-Scholze program. The geometry of shtuka spaces. The PI used his award to support the doctoral research of María Inés de Frutos Fernández, whose thesis provided us with the first explicit study of moduli spaces of shtukas over the ... ryzen 5 3600 and rx 6800xt

Geometrization of the local Langlands correspondence

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Fargues-scholze

Geometrization of the local Langlands correspondence

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 … 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:

Fargues-scholze

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WebOct 16, 2024 · 38 Studios had preliminary approval for $14.3 million in state film tax credits and was planning to seek another $6.5 million, but the Chafee administration refused to … WebFargues-Scholze setting. In particular, we explain how, given the eigensheaf S_{\chi} on Bun_{T} attached to a smooth character \chi of the maximal torus T, one can construct an eigensheaf on Bun_{G} under a certain genericity hypothesis on \chi, by applying a geometric Eisenstein functor to S_{\chi}. Assuming the Fargues-Scholze

WebMathematisches Institut der Universität Bonn 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.

WebFargues-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. WebSep 2, 2024 · After showing the parameters are the same, we apply some ideas from the geometry of the Fargues-Scholze construction explored recently by Hansen, to give a …

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 …

WebOct 5, 2024 · We present a proof that the V. Lafforgue and Fargues–Scholze correspondences are compatible, generalizing local-global compatibility from class field theory. As a consequence, the correspondences of Genestier–Lafforgue and Fargues–Scholze agree, which answers a question of Fargues–Scholze, Hansen, … is fission or fusion more powerfulhttp://math.bu.edu/people/jsweinst/rampage/Hemo.pdf ryzen 5 3600 benchmark scoreWebThe goal of this text is to overview the Fargues–Fontaine curve, its role in p-adic Hodge theory, and its relation to Scholze’s theory of perfectoid spaces and diamonds. On the … is fission better than fusionWebI’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. is fist bump friend zoneWebCompatibility 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 … is fission renewableWebJun 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 … ryzen 5 3600 am4 coolerWebMar 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 … is fission or fusion used in nuclear plants