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Duality and nearby cycles over general bases

WebDescription The purpose of the workshop is to explain Vincent Lafforgue's ground breaking work, constructing the automorphic to Galois direction of the Langlands correspondence for function fields. There will also be a number of talks on more recent developments and related results. Keywords and Mathematics Subject Classification (MSC) WebJan 1, 2024 · A proof of Grothendieck-Verdier duality of étale motives on schemes of finite type over a regular quasi-excellent scheme (which slightly improves the level of generality in the existing literature).

Nearby cycles for log smooth families - Cambridge

WebDuality and nearby cycles over general bases Qing Lu∗Weizhe Zheng†‡ October 7, 2024 Abstract This paper studies the sliced nearby cycle functor and its commutation with … WebNEARBY CYCLES FOR LOG SMOOTH FAMILIES 49 1. Log base change by standard affine maps (1.1). In this section we prove the lemma below. This is the part of log smooth base change theorem that is directly deduced from the usual smooth base change theorem. In general,log smooth basechangetheoremfails in its naiveform ((B.1)), j crew vintage fleece womens https://stork-net.com

Cycle basis - Wikipedia

WebDec 13, 2024 · Over one-dimensional bases, Gabber and Beilinson proved theorems on the commutation of the nearby cycle functor and the vanishing cycle functor with duality. In … WebMay 27, 2024 · With quite a few different mechanics, below is a detailed breakdown of how to complete every major encounter in the dungeon. I won’t be going over the jumping … WebJan 9, 2000 · -The description of convolution in terms of nearby cycles as in [Gai01] works for general coefficients (if convolution is defined as in (2.1)). The nearby cycles functor is t-exact in this ... j crew vintage polo

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Duality and nearby cycles over general bases

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WebNov 1, 2024 · Duality and nearby cycles over general bases Qing Lu, Weizhe Zheng Duke Math. J. 168 (16), 3135-3213, (1 November 2024) DOI: 10.1215/00127094-2024 … WebIn summary, we put all these results together in this thesis to exhibit the following: the nearby cycles on the various Vinberg-style degeneration are the keys to understanding certain “exotic” dualities in the automorphic side of the Geometric Langlands Program. Motivation: nearby cycles and the long intertwining functor

Duality and nearby cycles over general bases

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WebConstructibility and duality 3 Nearby cycles over general bases Motivation De nition and properties Kunneth formula and applications Duality Weizhe Zheng Nearby cycles over … WebISBN: 978-981-4675-10-9 (ebook) USD 62.00. Also available at Amazon and Kobo. Description. Chapters. Reviews. Supplementary. Etale cohomology is an important branch in arithmetic geometry. This book covers the main materials in SGA 1, SGA 4, SGA 4 1/2 and SGA 5 on etale cohomology theory, which includes decent theory, etale fundamental …

WebDec 29, 2024 · Duality and nearby cycles over general bases December 2024 Authors: Qing Lu Weizhe Zheng Abstract This paper studies the sliced nearby cycle functor and … Web5 Nearby cycles and duality - Duality and nearby cycles over general bases

WebNote on “Duality and nearby cycles over general bases”, DukeMath.J.168(2024),3135–3213. • The question of commutation of nearby cycles … WebVanishing cycles and nearby cycles: toplogical definition and Beilinson's definition, Fourier transform for conincal sheaves, specialization and microlocalization. References (more to be added): An Introduction to Intersection Homology Theory by Frances Kirwan and Jonathan Woolf: Example based introduction to the topological construction of ...

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Webality, duality, and other desired properties for the topological abelian groups of cocycles on quasi-projective varieties. Such an approach can be found in [F2]. A more abstract treatment of duality for varieties over more general elds is given in [FV]. It is assumed throughout the main body of this paper that Xand Y are projective lswr p14 classWebIn the l-adic algebraic context, Illusie proves in that the Verdier dual and nearby cycles commute, up to natural isomorphism. M. M. Saito proves the analogous result in the complex analytic setting, with field coefficients, in [ 6 ] and [ 7 ] . jcrew wallace and barnes flannel jacketWeb6 Local acyclicity (after Gabber) - Duality and nearby cycles over general bases j crew vintage tee shirtsWebWe calculate l-adic nearby cycles in the étale cohomology for families with log smooth reduction using log étale cohomology. In particular, nearby cycles for log smooth families coincide with tame nearby cycles, as L. Illusie expected, and nearby cycles for semistable families depend only on the first infinitesimal neighborhood of the special fiber. lswr railwayWebThis paper studies the sliced nearby cycle functor and its commutation with duality. Over a Henselian discrete valuation ring, we show that this commutation holds, confirming a prediction of Deligne. As an application we give a new proof of Beilinson's theorem that the vanishing cycle functor commutes with duality up to twist. Over an excellent base … j crew vintage straight leg cropped jeansWebThis paper studies the sliced nearby cycle functor and its commutation with duality. Over a Henselian discrete valuation ring, we show that this commutation holds, confirming a … j crew vintage straight jeanWebduality: 1 n being twofold; a classification into two opposed parts or subclasses Synonyms: dichotomy Type of: categorisation , categorization , classification a group of people or … j crew warehouse jobs lynchburg va