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Perverse sheaves seminar

WebThe theory of perverse sheaves has found numerous applications and also stands at the basis of later developments, such as Saito’s theory of mixed Hodge modules. But it's not … WebPerverse Sheaves Learning Seminar: Derived Categories and its Applications to Sheaves uguangY (Roger) Bai October 6, 2024 1 Derived Categories Unless otherwise stated, let A …

Mixed Hodge Modules Learning Seminar - GitHub Pages

Web6. apr 2024 · Speaker: Robert Cass (Caltech) Title: Perverse mod p sheaves on affine flag varieties Abstract: Perverse sheaves have important applications in representation theory and number theory. In this talk we will consider the case of mod p étale sheaves on affine flag varieties over a field of characteristic p. Despite the pathological behavior of such … WebIntroduction to Perverse Sheaves Cailan Li March 5th, 2024 1Intersection Homology The motivation for Intersection Homology is that Poincare duality (and the rest of the Kahler … henallux master https://branderdesignstudio.com

MIT Graduate Seminar on D-modules and Perverse Sheaves

WebNotes by Pavel. The main source we intend to follow is de Cataldo, Migliorini - "The decomposition theorem, perverse sheaves and the topology of algebraic maps". The plan is to add links to relevant sources as the seminar progresses. The three known proofs of the decomposition theorem: Beilinson, Bernstein, Deligne: "Faisceaux pervers" (1982). WebCreated Date: 12/19/2007 6:42:04 PM WebPerverse sheaves and the decomposition theorem. Oxford Learning seminar Week 1. Talk by Balázs Szendroi.˝ In this talk, we give a general overview of classical results on the topology of algebraic varieties. We discuss smooth projective families of varieties and monodromy, and discuss how we could hope to generalise them to more general maps … henallux siamu

Perverse Sheaves - math.purdue.edu

Category:Perverse Microsheaves Department of Mathematics

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Perverse sheaves seminar

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WebPerverse Sheaves: definition using t-structures and using solutions functor from holonomic D-modules, examples of perverse sheaves and classification of irreducibles, closure under … 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. This concept was introduced in the thesis of Zoghman Mebkhout, gaining more popularity after the (independent) work of Joseph …

Perverse sheaves seminar

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Web19. apr 2024 · In our case of interest, perverse sheaves over restricted shtukas are related to the monodromic affine Hecke category by a horocycle correspondence. That is, one may … WebThis seminar is dedicated to Deligne’s proof of the Riemann hypothesis part of the Weil conjectures, as given in [D]. Thus, the main goal is to understand ... perverse sheaves, as discussed in Math 731 in Fall 2015). (1) Perverse sheaves, Gabber’s purity theorem, the decomposition theorem

WebPerverse Sheaves Seminar. Main reference: Pramod Achar’s 2007 notes. Supplementary references: Kashiwara & Schapira - Sheaves on Manifolds (1990) Asilata Bapat’s lecture … Web14. feb 2024 · 大概来说,perverse的性质被很多重要的functor所保持,比如vanishing cycles functor以及一些相关的,Fourier-Saito transformation,microlocalization等等,最简单的,利用这个能得到Milnor fiber的coho dim等等,这个问题其实一定程度上相当于为什么要研究 Milnor fiber,研究vanishing cycle ...

Web14. jún 2024 · A primer on perverse sheaves Seminar series Junior Geometry and Topology Seminar Date Thu, 14 Jun 2024 16:00 Location C5 Speaker Aurelio Carlucci Organisation Oxford University This talk will be a general introduction to perverse sheaves and their applications to the study of algebraic varieties, with a view towards enumerative geometry. http://www-personal.umich.edu/~bhattb/teaching/mat731f15/

Websheaf cohomology, and does not use anything about cycles only pullbacks and truncations of complexes of sheaves. In any derived category you can do this even in characteristic p. The basic summary is that we de ne an abelian subcategory that lives inside the derived category of constructible sheaves, which we call the category of perverse sheaves.

WebPerverse sheaves seminar Thursdays 2-5 pm, BA 6183 Preliminary program Organizers: Joel Kamnitzer and Ivan Losev . Main reference: We use a draft of a textbook by Pramod Achar … henallux siteWeb6. aug 2024 · R. MacPherson, Intersection homology and perverse sheaves, 1990 notes pdf. R. MacPherson, Global questions in the topology of singular spaces, Proc. ICM Warsaw 1983, pdf. ... Notes on the seminar held at the University of Bern, 1983. Progress in Math. 50, Birkhäuser 1984 MR88d:32024. hena loginWebMathematical Surveys and Monographs. Volume: 258; 2024; 562 pp. MSC: Primary 32; 14; 20; 17; Since its inception around 1980, the theory of perverse sheaves has been a vital tool of fundamental importance in geometric representation theory. This book, which aims to make this theory accessible to students and researchers, is divided into two parts. hena mansoriWeb25. jan 2024 · Recollement, t-structures and perverse sheaves. veryheavysnow Без рубрики 25.01.2024 2 Minutes. Yesterday I went to a talk by ER on our topological seminar, and it was very comprehensible. Recollement. Let X be a topological space, Y a closed subset, U = X\Y an open subset. (Or maybe X a scheme, Y a closed subscheme, U its open ... hen alonWebGoals: This course is an introduction to the theory of D-modules, i.e., modules over (sheaves of) algebras of linear differential operators. Topics to be covered (6 and 7 time permitting): 1) Algebras and sheaves of algebras of differential operators. 2) Modules over sheaves of differential operators. Support and singular support. hena mehtaWeb31. máj 2024 · Overview of mixed Hodge modules and their applications to geometry (Ben) Notes. Classical (pure) Hodge theory (Anand) References: Chapter 0 of [Sabbah-Schnell]. Notes 1, Notes 2. D-modules and the Riemann–Hilbert correspondence (Asilata) References: [Cavazzani] and the references cited there. Notes. Perverse sheaves (Nicola) Nearby and ... henallux virtonhttp://www-personal.umich.edu/~bhattb/teaching/mat731f15/WC-Summer16.pdf henan huimian