2024 Perverse sheaves and quivers

Perverse sheaves and quivers

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WebTY - JOUR. T1 - Perverse sheaves and quivers. AU - Vilonen, Kari. AU - Gelfand, Sergei. AU - MacPherson, Robert. PY - 1996. Y1 - 1996. M3 - Article Web15. máj 2024 · Alternative descriptions of perverse sheaves have since been given in various contexts, e.g., in [] (in terms of zig-zags), or in [] (using quivers).Perverse sheaves on complex affine tori have been studied by Gabber–Loeser [] via the Mellin transformation.Perverse sheaves on abelian varieties have been recently described by …

Perverse sheaves and applications to representation theory

Web3. From g-modules to D-modules to perverse sheaves 5 3.1. Beilinson-Bernstein localization 5 3.2. B-equivariant D X-modules and perverse sheaves 6 3.3. Regular holonomic D-modules and the Riemann-Hilbert correspondence 7 3.4. The image of category O 9 4. The Kazhdan-Lusztig conjectures 10 4.1. Hecke algebras and Kazhdan-Lusztig polynomials 10 4.2. WebWe denote by P e r v ( C n, H) the category of perverse sheaves on C n smooth with respect to this stratification. We give a description of P e r v ( C n, H) as the category of … jリーグ靴

Perverse Sheaves and Quantum Grothedieck Rings SpringerLink

WebarXiv:math/9907152v2 [math.AG] 27 Jul 1999 PERVERSE SHEAVES ON GRASSMANNIANS TOM BRADEN Abstract. We give a complete quiver description of the category of perverse sheaves on Herm WebFlag varieties on quivers. Convolution of perverse sheaves. The example of the Dynkin quiver \(\bullet \longrightarrow \bullet\), [15,17,22]. L16 Quiver Hecke algebras as Ext … Webthe category of perverse sheaves on Cnsmooth with respect to this strati- cation. We give a description of Perv(Cn;H) as the category of represen-tations of an explicit quiver with … advent presbyterian cordova

Mikhail Kapranov and Vadim Schechtman - Annals of Mathematics

Math 731: Perverse sheaves - Institute for Advanced Study

WebIn finite type, this is just all equivariant perverse sheaves on the space of quiver representations. But in other types, it gets trickier. For example, for the Kronecker quiver and dimension vector (1,1), I only have two canonical basis vectors, but I have infinitely many equivariant perverse sheaves. Webover this quiver with M 0;M 1 in degree 0 (h= 0 in this case). There are exactly 5 of these. They can be thought of as perverse sheaves and have something to do with sl 2-modules of highest weight with central character 0. Here they are: C 0 (0 0 i;C ˘) C 0 i;0 0) C 0 h;C 0) C ˘ i;C C ˇ 1 *C i 2 m: (2) Exercise 19.1. These are all the ... jリーグ韓国人外国人枠WebThis thesis aims to study several aspects of Hall algebras associated with curves and quivers. These algebras encode the extensions between the objects of the category of … jリーグ韓国人 2022

"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 … " - Perverse sheaves and quivers

Perverse sheaves and quivers

Perverse Sheaves on Grassmannians - Cambridge Core

WebStack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack Exchange Web15. feb 2024 · Equivariant perverse sheaves. Intersection cohomology. 1. Introduction. Let X be a smooth complex algebraic variety equipped with an algebraic stratification S. Let k be a fixed field of coefficients. Let Perv ( X, S) be the category of perverse sheaves of k -vector spaces smooth with respect to S [1]. It is well-known that Perv ( X, S) can be ...

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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. … Web9. okt 2024 · In this talk, we shall give a geometric realization of i-quantum groups by using generalized Nakajima quiver varieties. In addition, the perverse sheaves correspond to dual canonical basis of i-quantum groups. This is a generalization of Qin’s geometric realization of quantum groups, and can be viewed as a counterpart of Hall algebra ...

Web21. jan 2014 · In this article we consider the general definition of Lusztig sheaves for arbitrary quivers, possibly carrying loops. We prove a conjecture raised by Lusztig asking … WebPerverse sheaves and double quivers 642 5. Functorialities of the double quiver 648 6. The double quiver determines a perverse sheaf 650 7. Algebraic relations in the double quiver …

Web21. jan 2014 · In this article we consider the general definition of Lustig sheaves for arbitrary quivers, possibly carrying loops. We answer a conjecture raised by Lusztig asking if the … Web21. jan 2014 · Quivers with loops and perverse sheaves. Tristan Bozec. In this article we consider the general definition of Lustig sheaves for arbitrary quivers, possibly carrying …

WebLusztig defined in [lulu] a canonical basis of the quantum group attached to any quiver without loop. This definition was possible thanks to an isomorphism between this …

WebIt provides a construction of the dual group as a split group scheme over the integers from perverse sheaves on the affine Grassmannian. Real Groups. ... S. Gelfand, R. MacPherson, … jリーグ韓国人キーパーWebCiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): jリーグ韓国人キーパーWeb20. júl 2016 · In the context of varieties of representations of arbitrary quivers, possibly carrying loops, we define a generalization of Lusztig Lagrangian subvarieties. From the combinatorial study of their irreducible components arises a structure richer than the usual Kashiwara crystals. Along with the geometric study of Nakajima quiver varieties, in the ... advent pro fontWebSince 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 … advent pro mediumWeb21. jan 2014 · Namely, if we consider a quiver with loops, the Grothendieck group arising from Lusztig sheaves on representation varieties is generated by the elementary simple … jリーグ韓国人監督Web20. nov 2024 · We compute the category of perverse sheaves on Hermitian symmetric spaces in types A and D, constructible with respect to the Schubert stratification. The calculation is microlocal, and uses the action of the Borel group to study the geometry of the conormal variety Λ. jリーグ韓国人多いWebPerverse Sheaves and Finite Dimensional Algebras Alessio Cipriani Abstract This thesis is devoted to the study of the category of p-perverse sheaves on a topologically strati ed s jリーグ韓国人選手