Kottwitz conjecture
Web2 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 … 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 …
Kottwitz conjecture
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Web13 mei 2024 · Sergei Iakovenko. Let be a local or global field and let be a linear algebraic group over . We study Tannakian categories of representations of the Kottwitz gerbes and the functor defined by Kottwitz in [28]. In particular, we show that if is a function field of a curve over , then is equivalent to the category of Drinfeld isoshtukas. WebKottwitz’s conjecture describes the contribution of a supercuspidal represention to the cohomology of a local Shimura variety in terms of the local Langlands …
WebRecent work of Shareshian and Wachs, Brosnan and Chow, and Guay-Paquet connects the wellknown Stanley–Stembridge conjecture in combinatorics to the dot action of the symmetric group Sn on the cohomology rings H∗ (Hess(S, h)) of regular semisimple Hessenberg varieties. In particular, in order to prove the Stanley–Stembridge … http://www-personal.umich.edu/~kaletha/fp.pdf
Web5 sep. 2024 · We study also some non-minuscule cases and show that the Kottwitz conjecture is true for any inner form of GL (2) and any cocharacter if the Langlands … 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 …
Web(with George Pappas]) "Local models of Shimura varieties and a conjecture of Kottwitz", Inventiones mathematicae 194 (2013), No. 1, 147–254. "On the coherence conjecture of Pappas and Rapoport", Annals of Mathematics 180 (2014), No. 1, 1–85.
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. 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 … dca utility allowanceWeb5 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. geek t-shirts australiaWeb25 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 dca united flightsWeb14 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. dcau the returnWeb23 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; geek toys for christmasgeek t shirts cheapWebThe goal of this paper is to prove the Kottwitz conjecture in the case of PEL-type Rapoport–Zink spaces associated to unramified unitary similitude groups over … geek traductor