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Bertrand Toën

Bertrand Toën is a mathematician at Université Paul Sabatier in Toulouse.

Together with Gabriele Vezzosi, Bertrand Toën has laid foundations of what is now called derived geometry.

(The picture shows Vezzosi on the left and Toën on the right during a research in pairs stay at Oberwolfach in 2002).

• web page

Selected writings

On algebraic stacks, derived algebraic geometry and rational homotopy theory:

• Bertrand Toën, Champs affines, Selecta Math. new series 12 (2006), no. 1, 39-135 (arXiv:math/0012219, doi:10.1007/s00029-006-0019-z)

On stacks and non-abelian cohomology:

• Bertrand Toën, Stacks and Non-abelian cohomology, lecture at Introductory Workshop on Algebraic Stacks, Intersection Theory, and Non-Abelian Hodge Theory, MSRI 2002 (slides, ps, pdf)

On infinity-stacks and derived stacks:

• Bertrand Toën, Higher and derived stacks: a global overview, In: Algebraic Geometry Seattle 2005, Proceedings of Symposia in Pure Mathematics, Vol. 80.1, AMS 2009 (arXiv:math/0604504, doi:10.1090/pspum/080.1)

See also

• Vers une interprétation Galoisienne de la théorie de l’homotopie. Cahiers de Top. et de Geo. Diff. Cat. 43, No. 4 (2002), 257-312. pdf

Related $n$Lab entries

• ∞-stack, derived stack, locally constant ∞-stack

• model structure on simplicial presheaves

• model structure on cosimplicial abelian groups

• simplicial ring, derived algebraic geometry, complicial algebraic geometry

• nonabelian cohomology

• higher topos theory

• dg-categories, derived noncommutative algebraic geometry

• Hall algebra

• Northwestern TFT Conference 2009

category: people