Výsledky vyhledávání - "Gabriele Vezzosi"

The $$\ell $$ ℓ -adic trace formula for dg-categories and Bloch’s conductor conjecture

Publikováno v: Bollettino dell'Unione Matematica Italiana. 12:3-17

Building on the recent paper (Blanc et al. preprint, arXiv:1607.03012 ), we present an $$\ell $$ -adic trace formula for smooth and proper dg-categories over a base $$\mathbb {E}_\infty $$ -algebra B. We also give a variant when B is just an $$\mathb

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https://doi.org/10.1007/s40574-018-0166-0

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Symplectic and Poisson derived geometry and deformation quantization

Autor: Gabriele Vezzosi, Tony Pantev

Publikováno v: Algebraic Geometry: Salt Lake City 2015. :405-457

We review recent results and ongoing investigations of the symplectic and Poisson geometry of derived moduli spaces, and describe applications to deformation quantization of such spaces.
Notes written for the proceedings of the AMS summer instit

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https://doi.org/10.1090/pspum/097.2/15

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A remark on the Hochschild-Kostant-Rosenberg theorem in characteristic p

Autor: Benjamin Antieau, Gabriele Vezzosi

We prove a Hochschild-Kostant-Rosenberg decomposition theorem for smooth proper schemes $X$ in characteristic $p$ when $\dim X\leq p$. The best known previous result of this kind, due to Yekutieli, required $\dim X

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http://arxiv.org/abs/1710.06039

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Shifted Poisson structures and deformation quantization

Autor: Tony Pantev, Michel Vaquié, Gabriele Vezzosi, Damien Calaque, Bertrand Toën

Publikováno v: Journal of topology
Journal of topology, 2017, 10 (2), pp.483-584. ⟨10.1112/topo.12012⟩
Journal of topology, Oxford University Press, 2017, 10 (2), pp.483-584. ⟨10.1112/topo.12012⟩

This paper is the sequel to [PTVV] (IHES Vol. 117, 2013). We develop a general and flexible context for differential calculus in derived geometry, including the de Rham algebra and polyvector fields. We then introduce the formalism of formal derived

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https://hal.science/hal-01253029

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Elektronická kniha

Stacks and Categories in Geometry, Topology, and Algebra

Autor: Tony Pantev, Carlos Simpson, Bertrand Toën, Michel Vaquié, Gabriele Vezzosi

This volume contains the proceedings of the CATS4 Conference on Higher Categorical Structures and their Interactions with Algebraic Geometry, Algebraic Topology and Algebra, held from July 2–7, 2012, at CIRM in Luminy, France. Over the past several

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Derived Logarithmic Geometry I

Autor: Steffen Sagave, Gabriele Vezzosi, Timo Schürg

Publikováno v: Journal of the Institute of Mathematics of Jussieu, 15, 367-405
Journal of the Institute of Mathematics of Jussieu, 15, 2, pp. 367-405

In order to develop the foundations of logarithmic derived geometry, we introduce a model category of logarithmic simplicial rings and a notion of derived log \'etale maps and use this to define derived log stacks.
Comment: v3: 33 pages; adjuste

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http://hdl.handle.net/2066/163271

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Algèbres simplicialesS1-équivariantes, théorie de de Rham et théorèmes HKR multiplicatifs

Autor: Bertrand Toën, Gabriele Vezzosi

Publikováno v: Compositio Mathematica
Compositio Mathematica, Foundation Compositio Mathematica, 2011, 147 (06), pp.1979-2000. ⟨10.1112/S0010437X11005501⟩

This work establishes a comparison between functions on derived loop spaces (Toën and Vezzosi,Chern character, loop spaces and derived algebraic geometry, inAlgebraic topology: the Abel symposium 2007, Abel Symposia, vol. 4, eds N. Baas, E. M. Fried

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https://doi.org/10.1112/s0010437x11005501

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Higher algebraic K-theory for actions of diagonalizable groups

Autor: ANGELO VISTOLI, Gabriele Vezzosi

Publikováno v: Inventiones mathematicae. 161:219-224

We study the K-theory of actions of diagonalizable group schemes on noetherian regular separated algebraic spaces: our main result shows how to reconstruct the K-theory ring of such an action from the K-theory rings of the loci where the stabilizers

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https://doi.org/10.1007/s00222-005-0429-0

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A remark on K-theory and S-categories

Autor: Gabriele Vezzosi, Bertrand Toën

Publikováno v: Topology. 43:765-791

It is now well known that the K-theory of a Waldhausen category depends on more than just its (triangulated) homotopy category (see [Schlichting]). The purpose of this note is to show that the K-theory spectrum of a (good) Waldhausen category is comp

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https://doi.org/10.1016/j.top.2003.10.008

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On higher order analogues of de Rham cohomology

Autor: Gabriele Vezzosi, A. M. Vinogradov

Publikováno v: Differential Geometry and its Applications. 19(1):29-59

If K is a commutative ring and A is a K-algebra, for any sequence $\sigma $ of positive integers there exists an higher order analogue dR($\sigma $) of the standard de Rham complex dR(1,...,1,...), which can also be defined starting from suitable ("d

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