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Kottwitz conjecture

Web5 sep. 2024 · Kottwitz's conjecture describes the contribution of a supercuspidal represention to the cohomology of a local Shimura variety in terms of the local Langlands correspondence. Using a Lefschetz-Verdier… Expand 14 PDF Moduli of local shtukas and Harris’s conjecture D. Hansen Mathematics Tunisian Journal of Mathematics 2024 WebWe prove the existence of the Hodge-Newton filtration for p -divisible groups over O K with additional endomorphism structure for the ring of integers of a finite, possibly ramified field extension of Q p. The argument is based on the Harder-Narasimhan theory for finite flat group schemes over O K. In particular, we describe a sufficient ...

On the Kottwitz conjecture for local shtuka spaces - UMD

Web14 dec. 2012 · Before considering Kottwitz’s conjecture, we will explain our definition of local models. This uses the construction of certain group schemes over a two-dimensional base and of their corresponding (affine) flag varieties. We believe that these objects are of independent interest and we begin by discussing them in some detail. Web25 okt. 2011 · Kottwitz’s nearby cycles conjecture for a class of unitary Shimura varieties Sean Rostami Mathematics 2011 This paper proves that the nearby cycles complexes on a certain family of PEL local models are central with respect to the convolution product of sheaves on the corresponding affine flag varieties.… 3 PDF blunt one length bob https://24shadylane.com

朱歆文 - 维基百科，自由的百科全书

Web5 sep. 2024 · Convolution morphisms and Kottwitz conjecture Naoki Imai We define etale cohomology of the moduli spaces of mixed characteristic local shtukas so that it gives smooth representations including the case where the relevant elements of the Kottwitz set are both non-basic. WebKottwitz's conjecture describes the contribution of a supercuspidal represention to the cohomology of a local Shimura variety in terms of the local Langlands correspondence. … WebThe main conjecture Suppose W tobeafiniteWeylgroup.Aninvolutionin isanyelementoforderatmosttwo.If isaninvolution, let W bethecentralizerof .Aroot iscalledimaginary if = (asopposedtoreal if ).Let I be thesetofallimaginaryrootsof .Anyelementcommutingwith permutes I .Thereforeif P = Y > 0; 2 I thenforany w in W w P … blunt organics

On the Kottwitz conjecture for local shtuka spaces

Category:Moduli of local shtukas and Harris’s conjecture

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Kottwitz conjecture

[1909.02328v4] Convolution morphisms and Kottwitz conjecture

WebKottwitz’s conjecture describes the contribution of a supercuspidal represention to the cohomology of a local Shimura variety in terms of the local Langlands … WebThe Kottwitz conjecture for unitary PEL-type Rapoport–Zink spaces By Alexander Bertoloni Meli at Ann Arbor and Kieu Hieu Nguyen at Münster Abstract. In this paper we …

Kottwitz conjecture

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Web25 aug. 2014 · In this paper, we prove a conjecture of Kottwitz and Rapoport on a union of (generalized) affine Deligne-Lusztig varieties $X (\mu, b)_J$ for any tamely ramified … WebRobert E. Kottwitz's 45 research works with 3,614 citations and 1,849 reads, ... Settling the Kottwitz-Rapoport conjecture made in [KR03] and [Rap05] about the non-emptiness …

Web2/20 The Langlands-Rapoport conjecture [speaker: Tasho Kaletha] 3/13 The Langlands-Kottwitz method [speaker: Alexander Bertoloni Meli] 3/20 The Kottwitz set B(G) and the refined local and global conjectures [speaker: Andy Gordon] 3/27 Rapoport-Zink spaces [speaker: Kartik Prasanna] Web17 okt. 2024 · On the structure of some p-adic period domains. Abstract: We prove the Fargues-Rapoport conjecture for p-adic period domains: for a reductive group G over a p-adic field and a minuscule cocharacter μ of G, the weakly admissible locus coincides with the admissible one if and only if the Kottwitz set B (G, μ) is fully Hodge-Newton …

Web13 apr. 2024 · The Kottwitz conjecture for unitary PEL-type Rapoport--Zink spaces. Alexander Bertoloni Meli, Kieu Hieu Nguyen. In this paper we study the cohomology of … Web25 aug. 2014 · In this paper, we prove a conjecture of Kottwitz and Rapoport on a union of (generalized) affine Deligne-Lusztig varieties for any tamely ramified group and its …

WebXinwen Zhu (Chinese: 朱歆文; born 1982 in Sichuan) is a Chinese mathematician and professor at Stanford University.His work deals primarily with geometric representation theory and in particular the Langlands program, tying number theory to algebraic geometry and quantum physics.. Biography. Zhu obtained his A.B. in mathematics from Peking …

Web23 feb. 2024 · We use this formula to prove the Kottwitz conjecture for the groups we consider. Discover the world's research. 20+ million members; 135+ million publications; 700k+ research projects; clerky company lifetime packageWebKottwitz’s conjecture describes the contribution of a supercuspidal represention to the cohomology of a local Shimura variety in terms of the local Langlands correspondence. Using a Lefschetz-Verdier fixed-point formula, we prove a weakened generalized version of Kottwitz’s conjecture. The weakening comes from ignoring the action of the Weil group … clerky aws creditshttp://www-personal.umich.edu/~charchan/seminar/ blunt other termWeb朱歆文（1982年 － ），四川人，加州理工学院数学系教授。 他的工作主要是研究几何表示论特别是朗兰兹纲领，旨在将数论和量子物理学联系在一起。 朱歆文的研究发表在数学年刊、Inventiones mathematicae等杂志上。 他的重要合作者包括张伟、袁新意和恽之玮。 blunt paper tobaccoWeb9 dec. 2024 · The Kottwitz conjecture for unitary PEL-type Rapoport–Zink spaces. Alexander Bertoloni Meli, Kieu Hieu Nguyen. Page range: 1-68 ... In this paper, we prove a conjecture raised by Angella, Otal, Ugarte and Villacampa recently, which states that if the Strominger connection ... blunt park colorado springsWeb2 jun. 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 … blunt opposite word in englishWebIn the paper [Kot90], Kottwitz assumes several hypotheses in local harmonic analysis, including the … clerky competitors