2024 Perverse sheaves seminar

Perverse sheaves seminar

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August undefined, 2024

Web23. mar 2014 · Let H be an arrangement of real hyperplanes in R. The complexification of H defines a natural stratification of C. We denote by Perv(C,H) the category of perverse sheaves on C smooth with respect to this stratification. We give a description of Perv(C,H) as the category of representations of an explicit quiver with relations, whose vertices … http://www-personal.umich.edu/~bhattb/teaching/mat731f15/

Notesfor‘Anintroductiontocharactersheaves’ - GitHub Pages

WebSEMINAR ON \PERVERSE SHEAVES AND LAUMON’S PROOF OF THE WEIL CONJECTURES" We will meet on Thursdays between 2 and 3:30pm in rooms: { MNO 1.050 until October 21, { MNO 1.020 from October 28 to November 4, { MNO 1.010 from November 11 to December 16. The link for attending online, as well as notes and other material for the seminar, will … Web31. 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 ... scary movies coming out for halloween 2022

Perverse sheaf - Wikipedia

Webderived category of perverse sheaves, and describe some ideas involved in its proof (in very broad strokes). 1 Decomposition theorem and applications Let Xbe a variety. A complex … Web28. apr 2024 · Zoom Meeting-ID: 994 2805 4844 For passcode please contact Christian Kaiser (kaiser@mpim...). WebPerverse sheaves learning seminar: Smooth maps and constructible sheaves Bal azs Elek October 13, 2024 1 Introduction In these notes, we will study constructible sheaves on … rum wholesalers

A recommendation for a book on perverse sheaves

The perverse filtration of abelian fibrations via Fourier-Mukai

Web25. 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 ... Web2 PERVERSE SHEAVES 1.1. Sheaves. We consider the category Sh(X;K) of sheaves of K-modules on X. This is an abelian category. For example, when Xis a point, we have Sh(X;K) = K-Mod. Let us give some examples of sheaves. Example 1.1. Let x2X and M be a K-module. We have the sky-scrapper sheaf M x whose sections are given by M x (U) = (M; if x2U ... scary movies coming 2022WebPerverse 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 … scary movies clown

"Websystem on X.Firstly, if L is the constant sheaf CX, then we can resolve by sheaves of singular cochains 0! CX!C0 X!C 1 X!C 2 X! where the sheaves Ci X are flabby onX and so can be used to compute the right derived functor of f.This yields the complex 0! fCX! fCX0! fCX1! On an open set U Y, we have fCi X(U) = Ci(f 1(U);C), the singular cochains on f 1(U) with … " - Perverse sheaves seminar

Perverse sheaves seminar

Quantum Groups and Perverse Sheaves: An Example SpringerLink

Web6. 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. WebAlgebra-Number Theory Seminar. Starting fall of 2024 the seminar will be hybrid. When possible it will be held in person in the Colloquium Room (3206) of the mathematics department. In additition it will be sometimes be available live on Zoom. The password is the first six Fibonacci numbers (starting at 0).

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WebPerverse Sheaves Seminar. Main reference: Pramod Achar’s 2007 notes. Supplementary references: Kashiwara & Schapira - Sheaves on Manifolds (1990) Asilata Bapat’s lecture … 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).

Web2 NOTES ON FACTORIZABLE SHEAVES 1.4. Verdier duality. For a perverse sheaf F on X let us view its Verdier dual D(F) as living over X (i.e., we change our semi-group to pos:= pos). For a neg-graded Hopf algebra Aas above, consider its graded linear dual A_as a pos- graded Hopf algebra. Proposition 1.5. There exists a natural isomorphism of perverse sheaves … WebPerverse sheaves are examples of (complexes of) constructible sheaves, with a pale shadow being the theory of constructible functions. D-modules, perverse sheaves, and constructible functions all have "singular support" living on a Lagrangian inside the cotangent bundle T^* M. ... Berstein Seminar: Sheaves on Manifolds. Mathematics Library ...

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 … http://www-personal.umich.edu/~bhattb/teaching/mat731f15/WC-Summer16.pdf

Web2 PERVERSE SHEAVES 2 Perverse Sheaves 2.1 The constructible category Let X be a complex variety. Denote by Shv(X;Q) be the category of sheaves of Q-vector spaces on X, …

WebThese notes oncharacte r sheaves aran eoutgrowt h of a seminar at the University of Utrecht (in 1985-1987)and lectures by one of us in Paris (in June 1987). The aim of the ... of induced perverse sheaves to the centralizer of a semi-simple element (8.2). Restriction and induction of character sheaves are taken up in no.9 and no. 10. The basic scary movies coming out in 2017Web10. apr 2024 · Related News. 0 Perverse sheaves on affine flag varieties and coherent sheaves on the dual Steinberg variety. 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 the two natural geometric realizations of … rum with an x on bottleWebPerverse Sheaves: definition using t-structures and using solutions functor from holonomic D-modules, examples of perverse sheaves and classification of irreducibles, closure under … scary movies coming out in april 2016WebPerverse Sheaves Seminar. Main reference: Pramod Achar’s 2007 notes. Supplementary references: Kashiwara & Schapira - Sheaves on Manifolds (1990) Asilata Bapat’s lecture notes; Weibel - An Introduction to Homological Algebra (1994) Gelfand & Manin - Methods of Homological Algebra (2003) scary movies coming in 2023WebPerverse sheaves are local systems, except near one of the singular points. The building block is the case where \(X\) is the affine line and \(0\) is the unique singular point. … rum william hintonWeba \perverse sheaf of sets," or a \perverse stack of categories" on Cn smooth with respect to H C; cf. [22]. (b) Since the strata X are, in our situation, generic parts of the complex ats L C of H; seeSection 2.D, the local systems L of Morse data in the stan-dard approach are de ned on some open parts of T L C Cn. Our linear algebra data ... scary movies coming in 2022WebDe nition 2.2. A k local system on a topological space Xis a sheaf L2mod(k X) s.t. there exists a covering of Xby fU igs.t. Lj U i = k n i where k n i is the constant sheaf associated to the vector space k n i. In other words, a local system is the same thing as a locally constant sheaf. Remark. If Xis connected, then all the n iare the same. scary movies coming out in fall 2022