nLab 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).
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)
On derived algebraic geometry:
- Bertrand Toën, Gabriele Vezzosi, Homotopical algebraic geometry II: geometric stacks and applications, Memoirs of the AMS 193 (2008) [arXiv:math/0404373, ams:memo-193-902]
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
Discussion of opposite categories of commutative monoids in a symmetric monoidal category regarded as categories of generalized affine schemes (and Spec(Z)):
- Bertrand Toën, Michel Vaquié, Au-dessous de , Journal of K-Theory 3 3 (2009) 437-500 [doi:10.1017/is008004027jkt048]
Related entries
Last revised on January 12, 2024 at 09:38:10. See the history of this page for a list of all contributions to it.