Perverse sheaves seminar

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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. WebThe Mathematical Sciences Research Institute (MSRI), founded in 1982, is an independent nonprofit mathematical research institution whose funding sources include the National Science Foundation, foundations, corporations, and more than 90 universities and institutions. The Institute is located at 17 Gauss Way, on the University of California, …

Perverse Sheaves - Stanford University

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 … 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, … today\\u0027s aed rate

Perverse Sheaves Seminar Michael Zhao

WebMathematical 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. 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 … 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 … pensions steve webb

Quick and dirty introduction to perverse sheaves

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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 … http://www.numdam.org/item/AST_1989__173-174__111_0.pdf today\\u0027s aed to inrWebPerverse 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 … pensions state of nj

"WebG-equivariant coherent sheaves, where G is a (reasonable) algebraic group acting on a (reasonable) scheme X. In this case perversity p(x) is assigned only to orbits of G (including “generic orbits”), since an equivariant sheaf is automatically smooth along the orbits. More generally, the perverse t-structure can be constructed for coherent ... " - Perverse sheaves seminar

Perverse sheaves seminar

MIT Graduate Seminar on D-modules and Perverse Sheaves

Web10. 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 …

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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 ... Web29. mar 2024 · A symplectic singularity has a natural stratification by Poisson leaves, which are symplectic, hence even-dimensional. Perverse sheaves constructible with respect to this stratification are semisimple if the coefficients are in characteristic zero, but with characteristic p coefficients the categories can be complicated. I will discuss two cases …

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 ... Web13. Perverse sheaves 59 13.1. Summary of what we did 59 13.2. Perverse sheaves : de nition and rst main result 59 13.3. Some remarks on what we did 60 13.3.1. 60 13.3.2. 60 14. t-structures 61 14.1. Truncation functors 61 15. The core is Abelian 64 16. Non-degenerate t-structures and t-exact functors 66 17. Glueing of t-structures 68 17.1. The ...

WebPerverse sheaves learning seminar: Perverse sheaves and intersection homology Kathlyn Dykes November 22, 2024 In these notes, we will introduce the notion of t-structures on a … Webperverse sheaves of categories can be used to represent certain degenerate Calabi–Yau varieties. Contents 1. Introduction 1 2. Background on dg categories 4 3. Perverse schobers and perverse sheaves of categories 9 4. Sheaves of categories on the cylinder, P1 bundles and a result of Segal 16 5. Perverse schobers and semiorthogonal ...

WebCreated Date: 12/19/2007 6:42:04 PM

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 … pensionsstall thurgauWebperverse sheaves This is a very quick introduction to the deﬁnition of perverse sheaves, that also tries to give some motivation (coming from the theory of D-modules). These were the notes of a lecture in a semester-long seminar about mixed Hodge modules, so it makes reference to other lectures for motivation. In this talk, Xwill be a variety ... today\\u0027s aed to inr conversion rateWeb28. apr 2024 · Zoom Meeting-ID: 994 2805 4844 For passcode please contact Christian Kaiser (kaiser@mpim...). today\u0027s aed to inr conversion rateWeb19. 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 reduce certain questions in the global function field Langlands program to questions in local geometric Langlands. ... MIT Lie Groups Seminar Wednesday, April 19, 2024 at 4:00pm to ... today\\u0027s aed rate indian rupeeWeb25. okt 2024 · Math-Physics Joint Seminar. Tuesday, October 25, 2024 - 3:30pm. Vivek Shende . Center for Quantum Mathematics, Southern Denmark University . ... Here, a perverse sheaf of a categories is just a sheaf of categories whose hom sheaves are (shifted) perverse. I will also show that the subcategory of objects with bounded … pensions statisticsWebPerverse Sheaves Learning Seminar: Derived Categories and its Applications to Sheaves uguangY (Roger) Bai October 6, 2024 1 Derived Categories Unless otherwise stated, let A … pensionsstall würenlosWebPerverse sheaves learning seminar: Lecture 1: Sheaves Stefan Dawydiak September 25, 2024 1 The category of sheaves Example 1.0.1 (Prototypes). A smooth function on an … today\\u0027s aed to inr rate