Výsledky vyhledávání - "Bertrand Toën"

Akademický článek

Le probl\`eme de la sch\'ematisation de Grothendieck revisit\'e

Autor: Bertrand Toën

Publikováno v: Épijournal de Géométrie Algébrique, Vol Volume 4 (2020)

The objective of this work is to reconsider the schematization problem of [6], with a particular focus on the global case over Z. For this, we prove the conjecture [Conj. 2.3.6][15] which gives a formula for the homotopy groups of the schematization

Externí odkaz: https://doaj.org/article/0ada7fdbdb794587b70c46d0036736a7

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

Autor: Bertrand Toën, Gabriele Vezzosi

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

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::418d93627c74460460bb3f5cf4578398
https://doi.org/10.1007/s40574-018-0166-0

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Poisson geometry of the moduli of local systems on smooth varieties

Autor: Bertrand Toën, Tony Pantev

Publikováno v: Publications of the Research Institute for Mathematical Sciences
Publications of the Research Institute for Mathematical Sciences, 2021, 57 (3), pp.959-991. ⟨10.4171/PRIMS/57-3-8⟩

We study the moduli of G-local systems on smooth but not necessarily proper complex algebraic varieties. We show that, when suitably considered as derived algebraic stacks, they carry natural Poisson structures, generalizing the well known case of cu

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c06497178053129460a9ef0f13c64706
https://hal.archives-ouvertes.fr/hal-01891205

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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

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::185207a9e8d3653b6149879d7f7fecb5
https://hal.science/hal-01253029

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Derived algebraic geometry

Autor: Bertrand Toën

Publikováno v: EMS Surveys in Mathematical Sciences
EMS Surveys in Mathematical Sciences, EMS Publishing House, 2014, 1 (2), pp.153-240. ⟨10.4171/EMSS/4⟩

This text is a survey of derived algebraic geometry. It covers a variety of general notions and results from the subject with a view on the recent developments at the interface with deformation quantization.
Comment: Final version. To appear in

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4e5af5000211c5640a94af9bf0dfb20d
https://doi.org/10.4171/emss/4

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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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SYSTEMES DE POINTS DANS LES DG-CATEGORIES SATUREES

Autor: Bertrand Toën, Michel Vaquié

Publikováno v: Annales de la Faculté des Sciences de Toulouse. Mathématiques.
Annales de la Faculté des Sciences de Toulouse. Mathématiques., Université Paul Sabatier _ Cellule Mathdoc 2016
Annales de la Faculté des Sciences de Toulouse. Mathématiques., 2016

International audience; Dans ce travail nous considérons le problème de réaliser géométriquement les catégories triangulées (plutôt les dg-catégories triangulées) comme des catégories dérivées de variétés algébriques. Pour cela, on in

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9cfd10eac20fb9ff6bc1b5443d232c6c
https://hal.archives-ouvertes.fr/hal-01253027/file/Vadim-20151.pdf

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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

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5df70b8cf76b0c2f6d08ddacf4491569
https://doi.org/10.1112/s0010437x11005501

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Dénombrabilité des classes d’équivalences dérivées de variétés algébriques

Autor: Bertrand Toën, Mathieu Anel

Publikováno v: Journal of Algebraic Geometry. 18:257-277

Soient S S un schéma affine, X ⟶ S X \longrightarrow S une famille miniverselle de schémas projectifs et lisses, et D D une catégorie triangulée fixée. On démontre que les points s ∈ S s\in S tels que la catégorie dérivée de la fibre en

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::5a9c605d563354e037f66545322df44c
https://doi.org/10.1090/s1056-3911-08-00487-6

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Anneaux de définition des dg-algèbres propres et lisses

Autor: Bertrand Toën

Publikováno v: Bulletin of the London Mathematical Society
Bulletin of the London Mathematical Society, 2008, 40 (4), pp.642-650. ⟨10.1112/blms/bdn043⟩
Bulletin of the London Mathematical Society, London Mathematical Society, 2008, 40 (4), pp.642-650. ⟨10.1112/blms/bdn043⟩

This is a companion paper to math.AT/0609762. For a filtered colimit of commutative rings k=colim k_i, we prove that the homotopy theory of smooth and proper dg-algebras over k is the colimit of the homotopy theories of smooth and proper dg-algebras

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3e9eb1b59e9862ee12e410b4c332d57e
https://doi.org/10.1112/blms/bdn043

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