Perverse sheaves and quivers
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. WebThese perverse sheaves are defined as summands of the pushforwards of the constant sheaves on stacks of quiver representations along with a choice of invariant flag (and …
Perverse sheaves and quivers
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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. 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, …
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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 ... 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 ...
Web14. sep 2012 · A class of perverse sheaves on framed representation varieties of the Jordan quiver is defined. Its relationship with product of symmetric groups, tensor product of …
Web20. aug 2024 · We study perverse sheaves of categories their connections to classical algebraic geometry. We show how perverse sheaves of categories encode naturally … images of goldie hawn and kate hudsonWeb16 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。 images of gold lipsWeb8. feb 2024 · An approach to the categorification of a perverse sheaf on a disc was suggested in [Reference Kapranov and Schechtman KS14]. The datum of a perverse sheaf on a disc with a single singularity in the centre is equivalent to the datum of a certain quiver diagram; the proposed ad hoc categorification of the quiver description is a spherical … images of gold minesWebJune 1996 Perverse sheaves and quivers Sergei Gelfand , Robert MacPherson , Kari Vilonen Duke Math. J. 83 (3): 621-643 (June 1996). DOI: 10.1215/S0012-7094-96-08319-2 ABOUT … images of gold microphonesWebIn 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 … images of goldie hawn 2021Web16 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。 images of goldilocks and the three bearsWeb2. júl 2012 · Mark Andrea A. de Cataldo, Luca Migliorini, The decomposition theorem, perverse sheaves and the topology of algebraic maps, Bull. Amer. Math. Soc. 46 (2009), 535-633, html abs, refs, pdf article Last revised on July 2, 2012 at 19:01:21. images of goldie hawn today