Duality and nearby cycles over general bases

Author: kpco

August undefined, 2024

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 … 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 - CORE Reader

WebThis 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 … 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) screened in porch builders myrtle beach sc

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WebNov 1, 2024 · Over an excellent base scheme, we show that the sliced nearby cycle functor commutes with duality up to modification of the base. We deduce that duality … http://davidrenshawhansen.com/nearby.pdf Webduality: 1 n being twofold; a classification into two opposed parts or subclasses Synonyms: dichotomy Type of: categorisation , categorization , classification a group of people or … screened in patio flooring

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Web5 Nearby cycles and duality - Duality and nearby cycles over general bases WebWe 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. screened in porch carpetWebposes the Duality Cache system stack that makes in-cache computing accessible to general purpose data-parallel pro-grams. Our proposed system solves several challenges to make caches capable of general purpose data processing. First, to address a wide set of data-intensive applications, having a rich set of computation primitives is essential ... screened in porch for mobile homes

"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)), " - Duality and nearby cycles over general bases

Duality and nearby cycles over general bases

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 … WebBase change and sliced !-base change - 4 Sliced nearby cycles over general bases

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WebOver an excellent base scheme, we show that the sliced nearby cycle functor commutes with duality up to modification of the base. We deduce that duality preserves universal … WebThis 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 …

Webmodiﬁcation of the target, in terms of nearby cycles over general bases. This comparison result is the heart of this paper and will be brieﬂy explained in the next subsection. The idea of our approach comes from a recent work of K. Ito [Ito20], in which the theory of nearby cycles over general bases is used to study ´etale cohomology WebDuality and nearby cycles over general bases - CORE Reader

WebIn 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 ] . WebConstructibility and duality 3 Nearby cycles over general bases Motivation De nition and properties Kunneth formula and applications Duality Weizhe Zheng Nearby cycles over …

WebWe prove that the nearby cycles functor associated with the generic ﬁber of a p-adic for-mal scheme has many properties in common with derived pushforward along a proper …

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 ... screened in porch decorating ideas picsWebAug 9, 2016 · The main ingredient is a Künneth formula for \(R\Psi \) in the framework of Deligne’s theory of nearby cycles over general bases. In the last section, we study the tame case, and the relations between tensor and convolution products, in both global and local situations. ... Vanishing cycles over a base of dimension \(\ge 1\). In Algebraic ... screened in shelterWebNov 1, 2024 · Over an excellent base scheme, we show that the sliced nearby cycle functor commutes with duality up to modification of the base. We deduce that duality … screened in porch replacementWebDec 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 … screened-in porch ideasWebﬁelds, in the tamely ramiﬁed case, Deligne conceived a theory of nearby and vanishing cycles valid over general bases. A short summary, without proofs, was written by Laumon [L1]. This topic long remained untouched, because Laumon’s proof of the product formula using the ℓ-adic Fourier transform [L2] rendered Deligne’s approach useless. screened in porch interior ideasWebThis 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 … screened in porch pictures and ideasWebJan 1, 2006 · This theorem is a consequence of Theorem 1.1 and a finiteness result on nearby cycles over general bases due to Orgogozo [Org06]. Our approach is different … screened in patio decks