Perverse coherent sheaves

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August undefined, 2024

Web31. júl 2024 · The notion of perverse coherent sheaves was introduced by Bridgeland (cf. ). A perverse coherent sheaf is an element of the heart of a certain bounded t-structure … WebAbstract We study perverse coherent sheaves on the resolution of rational double points.Asexamples,weconsiderrationaldoublepointson2-dimensionalmodulispaces of …

Counting Invariant of Perverse Coherent Sheaves and its Wall …

WebThe workshop on Commutative Algebra, Algebraic Geometry and Representation Theory surveyed various recently established connections, such as those pertaining to the classification of vector bundles or Cohen-Macaulay modules over Noetherian rings, coherent sheaves on curves, or ideals in Weyl algebras. WebThe category of perverse sheaves is an abelian subcategory of the (non-abelian) derived category of sheaves, equal to the core of a suitable t-structure, and is preserved by … bletchley hotels milton keynes

Representations of Finite Dimensional Algebras and Related …

Web22. aug 2024 · Perverse Sheaves Goresky と MacPherson は, intersection cohomology を sheaf (の hyper)cohomology として記述するために, perverse sheaf という概念を導入した。 Kirwan の本 [ KW06] のような intersectoin cohomology の解説にも, もちろん書かれているが, とりあえず de Cataldo と Migliorini の解説 [ CM09] を読んでみるのもいいかもし … Web5. okt 2024 · This is the second of series of papers studyig moduli spaces of a certain class of coherent sheaves, which we call stable perverse coherent sheaves, on the blow-up of a … WebBook Synopsis Applications of Sheaves by : M. P. Fourman. Download or read book Applications of Sheaves written by M. P. Fourman and published by Springer. This book was released on 2006-11-15 with total page 779 pages. Available in … frederic bourdin childhood

COHOMOLOGY OF TILTING MODULES OVER QUANTUM GROUPS …

Perverse sheaf - Wikipedia

WebThe mathematical term perverse sheaves refers to a certain abelian category associated to a topological space X, which may be a real or complex manifold, or a more general topologically stratified space, usually singular. ... "Perverse coherent sheaves". Moscow Mathematical Journal. 10 (1): 3–29. arXiv: 0902.0349. Bibcode:2009arXiv0902.0349A ... WebIn the proof we use the theory of perverse coherent sheaves in order to glue local pieces of the rigid dualizing complex into a global complex. Key words and phrases: Noncommutative algebraic geometry, perverse sheaves, dualizing complexes. Mathematics Subject Classification 2000. Primary: 14A22; Secondary: 14F05, 14J32, 16E30, 16D90, 18E30. bletchley house beaverbrook courtWebIn this talk, I will give an introduction to factorization homology and equivariant factorization homology. I will then discuss joint work with Asaf Horev and Foling Zou, with an appendix by Jeremy Hahn and Dylan Wilson, in which we prove a "non-abelian Poincaré duality" theorem for equivariant factorization homology, and study the equivariant factorization homology … frederic bourgeois swixim

"Webquestion to purity of IC sheaves on aﬃne ﬂag varieties. Contents 1. Introduction. 2 1.1. Quantum groups, tilting modules and cohomology. 2 1.2. Koszul duality conjecture. 3 1.3. Plan of the paper. 4 1.4. Notations. 4 1.5. Acknowledgements 5 2. Coherent sheaves: exotic t-structure, and Positivity Lemma. 5 2.1. Exceptional sets and quasi ... " - Perverse coherent sheaves

Perverse coherent sheaves

Harrison Chen - Institute Research Scholar - Academia Sinica, …

WebWe introduce moduli spaces of stable perverse coherent systems on small crepant resolutions of Calabi-Yau -folds and consider their Donaldson-Thomas type counting invariants. The stability depends on the choice of a co… WebAs a result the derived category of -modules is realized as a full subcategory of coherent sheaves on this stack, confirming expectations from strong forms of the local Langlands correspondence (including recent conjectures of Hellmann and Zhu). ... in terms of categories of perverse sheaves (as previously observed in local Langlands over ℝ).

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Web16. máj 2000 · Perverse coherent sheaves (after Deligne) Roman Bezrukavnikov. This note is mostly an exposition of an unpublished result of Deligne, which introduces an analogue of … WebPerverse sheaves on affine flag varieties and coherent sheaves on the dual St... 求真书院. Abstract: We will report on an ongoing project with R. Bezrukavnikov and L. Rider which aims at constructing an equivalence of categories lifting to the categorical level the comparison between. Revisiting Jacobi-Trudi identities via the BGG category O

WebAuthor: William Fulton Publisher: American Mathematical Soc. Size: 25.34 MB Format: PDF, Docs Category : Mathematics Languages : en Pages : 82 Access This book introduces some of the main ideas of modern intersection theory, traces their origins in classical geometry and sketches a few typical applications. Web邓邦明求真书院. BIMSA一周学术活动 09.26-09.30 求真书院. 公开课/COURSE 讨论班/SEMINAR 2024-09-26 Monodromy and period map of the Winger Pencil BIMSA Topology Seminar 报告人自云鹏时间 15:30-17:00 Mon 地点 1129B Zoom 537 192 5549（PW: BIMSA）摘要 We investigate the moduli

WebBook excerpt: We are defining and studying an algebro-geometric analogue of Donaldson invariants by using moduli spaces of semistable sheaves with arbitrary ranks on a polarized projective surface.We are interested in relations among the invariants, which are natural generalizations of the "wall-crossing formula" and the "Witten conjecture" for ... WebBook Synopsis D-Modules, Perverse Sheaves, and Representation Theory by : Ryoshi Hotta. Download or read book D-Modules, Perverse Sheaves, and Representation Theory written by Ryoshi Hotta and published by Springer Science & Business Media. This book was released on 2007-11-07 with total page 408 pages. Available in PDF, EPUB and Kindle.

Web28. nov 2024 · Title: Cohomological Hall algebras and perverse coherent sheaves on toric Calabi-Yau 3-folds. Abstract: Let X be a smooth local toric Calabi-Yau 3-fold. On the cohomology of the moduli spaces of certain sheaves on X, there is an action of the cohomological Hall algebra (COHA) of Kontsevich and Soibelman via “raising operators”. I …

Web9. nov 2009 · Perverse coherent sheaves on blow-up. III. Blow-up formula from wall-crossing. In earlier papers arXiv:0802.3120, arXiv:0806.0463 of this series we constructed … frederic bouralyWebI would like to know an intuition behind perverse coherent sheaves. I am aware that it is induced by a heart of another t-structure on the derived category. Are there any better, … frederic bouraly dbzWebAbstract: A certain t -structure on the derived category of equivariant coherent sheaves on the nil-cone of a simple complex algebraic group is introduced by the author in the paper … bletchley hospital milton keynesWeb1. jún 2015 · We study perverse coherent sheaves on the resolution of rational double points. As examples, we consider rational double points on 2 -dimensional moduli spaces … frederic bouteloupWeb24. júl 2024 · In the second part of the paper, we explicitly compute all simple perverse-coherent sheaves for the group $G = PGL_3$ ⁠, for all characteristics other than $2$ or … bletchley house cqcWebThe category of (constructible) perverse sheaves on a complex variety is characterized by exactness of the microlocal stalks (or vanishing cycles) functor. We prove an analogue of … frederic boutelantWeb29. okt 2010 · A perverse coherent sheaf [6, 30] is an object E of D b (Coh(Y)) satisfying . H i (E) = 0 unless i = 0,−1, and ⁠, Hom(H 0 (E),C) = 0 for any sheaf C on Y satisfying ⁠. Let … bletchley house prices