Perverse sheaves seminar

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August undefined, 2024

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

PERVERSE SHEAVES - Yale University

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 WebTexas at Austin’s graduate student geometry seminar on 15 October 2013. 1 Introduction Character sheaves were invented by Lusztig in order to adapt classical constructions from the ... Character sheaves are certain perverse sheaves; this … community one stop application

Perverse Sheaves Seminar Michael Zhao

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). Web25. 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 … 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 ... community one stop shop broomhouse

Learning seminar on perverse sheaves. Beilinson’s theorem and …

Perverse sheaves of categories and some applications

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, … http://www-personal.umich.edu/~bhattb/teaching/mat731f15/WC-Summer16.pdf community one source community one routing number nc

"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 ... " - Perverse sheaves seminar

Perverse sheaves seminar

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 (Math 731) Time and location:11:30am - 1:00pm in 2866 East Hall, every Tuesday and Thursday. Office hours: Tuesday 3:00pm - 5:00pm, Friday 3:00pm - 4:00pm. …

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Web11. feb 2024 · This fully justifies the choice of name for this t-structure, and shows that the heart of the relative perverse t-structure gives a completely reasonable notion of a “family of perverse sheaves parameterized by ”. Corollary 2. For any map , the pullback functor is t-exact for the relative perverse t-structures (relative to and , respectively). 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

http://www-personal.umich.edu/~bhattb/teaching/mat731f15/ WebThe name perverse sheaves is a bit misleading,because neither they are sheaves, nor they are perverse. Perverse sheaves live on spaces with singularities. A perverse sheaf on a topological space Xis actually a bounded constructible complex in the derived category that satisﬁes certain dimension conditions on its cohomology sheaves.

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 … WebPerverse Sheaves: definition using t-structures and using solutions functor from holonomic D-modules, examples of perverse sheaves and classification of irreducibles, closure under …

Weba \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 ...

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 ... community one source llcWeb19. 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 ... community onestreamWebCreated Date: 12/19/2007 6:42:04 PM community one stopWeb14. 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. easy to clean sectionalsWebIntroduction 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 … community on facebookWebsystem 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 … easy to clean shabby chic sleeper sofaWeb25. 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 ... community one sacramento