Perverse sheaves and quivers

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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 ... WebSince 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.

Quivers with loops and perverse sheaves - link.springer.com

Web20. aug 2024 · We study perverse sheaves of categories their connections to classical algebraic geometry. We show how perverse sheaves of categories encode naturally … 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 … long lake ace hardware

Mikhail Kapranov and Vadim Schechtman - Annals of Mathematics

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, … WebPerverse sheaves are fundamental objects at the crossroads of topology, al-gebraic geometry, analysis and di erential equations, with important applications ... MacPherson … 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 … long lake alberta cabin rentals

PERVERSE SHEAVES AND THE KAZHDAN-LUSZTIG …

Perverse sheaves and quivers

Perverse Sheaves on Grassmannians - Cambridge Core

Web16 Decomposition theorem and l-adic sheaves, I是perverse sheaves 反常层 (偏屈层)的第17集视频，该合集共计23集，视频收藏或关注UP主，及时了解更多相关视频内容。 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 …

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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 Web15. mar 2024 · We show that the category of p-perverse sheaves on X, constructible with respect to the stratification and with coefficients in k, ... Vybornov, M., Perverse sheaves, …

WebPerverse sheaves and quivers. scientific article published in 1996. Statements. instance of. scholarly article. 0 references. title. Perverse sheaves and quivers (English) 0 references. … Web21. 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 …

WebAbstractIn this article we consider the general deﬁnition of Lusztig sheaves for arbitrary quivers, possibly carrying loops. We prove a conjecture raised by Lusztig asking if the more elementary Lusztig perverse sheaves are enough to span the whole Grothendieck group usually built with these sheaves. 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 …

Web10. dec 2024 · Let G = Gln be the general linear group over the algebraic closure of a finite field ¯ Fq and let F: G → G be the standard Frobenius. On G there is the Springer (perverse) ... ag.algebraic-geometry. rt.representation-theory. reductive-groups. perverse-sheaves. springer-fibres. Tommaso Scognamiglio.

WebSince 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. The first six chapters give a comprehensive account of constructible and perverse sheaves ... long lake and livernoisWebquivers: cuspidal functions, perverse sheaves and Kac polynomials L’algèbre de Hall des courbes et des carquois : fonctions cuspidales, faisceaux pervers et polynômes de Kac … hoover washing machine programsWebover 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 ... long lake aitkin countyWebPerverse 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. … long lake anesthesiologyWeb9. 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 ... long lake alpena michigan waterfrontWebAbstract 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 if the … long lake alpena depth chartWebBook Synopsis D-Modules, Perverse Sheaves, and Representation Theory by : Ryoshi Hotta. Download or read book D-Modules, Perverse Sheaves, and Representation Theory written … hoover washing machine nz