Christian Blanchet

Institut de Mathématiques de Jussieu (UMR 7586 du CNRS)
Université Paris Diderot-Paris 7)
UFR de Mathématiques,Case 7012
Bâtiment Chevaleret, bureau 9D1
75205 PARIS CEDEX 13
(33) 1 57 27 91 57
name@math.jussieu.fr (name=blanchet)

Domaines de recherche

Topologie de basse dimension, théorie des noeuds, topologie quantique, catégories modulaires,
homologie de Khovanov, homologie de Heegaard-Floer (Ozsvath-Szabo).

Actualité

• École de recherche CIMPA-GGTM-MAROC: Géométrie symplectique et topologie géométrique , Meknès, 21 mai - 1 juin 2012.

Liens

• Groupe de travail TQFT et catégorification
• Groupe de travail Algèbre et Topologie Quantiques (2009-2010)
• Groupe de travail Homologie de Heegaard-Floer (2007-2009)
• Séminaire de topologie
• Ecole d'été de l'IMJ: Link Homology
• Enseignement
  

Conférences

• Quantum groups, categorification and braids: conference on the occasion of Christian Kassel's 60th birthday
• Swiss Knots 2011
• Spring School in Geometry and Quantum Topology Les Diablerets, Switzerland, March 20-25, 2011
• XIX Oporto Meeting on Geometry, Topology and Physics

Présentations d'exposés

• Non commutative representations of Torelli groups, Swiss Knots 2011, 05/2011
• Nodal foams and link homology, Faro conference, 07/2010
• Nodal foams and link homology, Zurich, 12/2009
• TQFT, Cohomology of Flags Manifolds and Link Homology , Bonn, 11/2009

Publications

1. C. Blanchet, An oriented model for Khovanov homology. Journal of Knot Theory and Its Ramifications Vol. 19, N. 2 (2010) 291-312.
2. A. Beliakova, C. Blanchet, T. Le, Unified quantum invariants and their refinements for homology 3-spheres with 2-torsion . Fundamenta Mathematicae, Vol. 201, N. 3 (2008) 217-239.
3. C. Blanchet, Link homology and trivalent TQFT Oberwalfach report 22/2008, 1168--1170.
4. C. Blanchet, V.Turaev, Quantum Invariants of 3-manifolds. Encyclopedia of Mathematical Physics, Elsevier 2006, 117-123 ( pdf)
5. C. Blanchet, V.Turaev, Axiomatic approach to TQFT. Encyclopedia of Mathematical Physics, Elsevier 2006, 232-234 ( pdf)
6. C. Blanchet, A spin decomposition of the Verlinde formulas for type A modular categories. Comm. in Math. Physics , Vol. 257, N. 1, May 2005, 1 - 28.
7. C. Blanchet, E. Gallais, Combinatorial Topology and Discrete Morse Theory. In Differential geometry and topology, discrete and computational geometry, J.M. Morvan and M. Boucetta editors, NATO Science Series III (2004). ( pdf )
8. C. Blanchet, Introduction to quantum invariants of 3-manifolds, topological quantum field theories and modular categories. Cardona, Alexander (ed.) et al., Proceedings of the summer school on geometric and topological methods for quantum field theory, Villa de Leyva, Colombia, July 9-27, 2001. River Edge, NJ: World Scientific. 228-264 (2003). ( ps)
9. A. Beliakova, C. Blanchet, Skein construction of idempotents in the Birman-Murakami-Wenzl algebras . Math Ann 321 (2001) 2, 347-373.
10. A. Beliakova, C. Blanchet, Modular Categories of types B,C and D . Comment. Math. Helv. 76 (2001) 467-500.
11. C. Blanchet, Hecke algebras, modular categories and 3-manifolds quantum invariants, Topology 39 (2000) 193-223.
12. C. Blanchet, Refined quantum invariants for three-manifolds with structure, Banach Center Pub. Vol. 42 (1998), 11-22.
13. H. Abchir, C. Blanchet, On the computation of the Turaev-Viro module of a Knot, Journal of Knot Theory and its Ramifications, Vol. 7, No 7 (1998), 843-856.
14. C. Blanchet, G. Masbaum, Topological quantum field theories for surfaces with spin structure, Duke Mathematical Journal 82 (1996), 229-267.
15. C. Blanchet, N. Habegger, G. Masbaum, P. Vogel, Topological Quantum Field Theories derived from the Kauffman bracket, Topology 34 (1995), 883-927.
16. C. Blanchet, N. Habegger, G. Masbaum, P. Vogel, Remarks on the Three-manifold Invariants theta_p, in `Operator Algebras, Mathematical Physics, and Low Dimensional Topology', Ed. by R. Herman and B. Tanbay, Research Notes in Mathematics Vol 5, 39-59.
17. C. Blanchet, Invariants on three-manifolds with spin stucture, Comm. Math. Helv. 67(1992), 406-427.
18. C. Blanchet, N. Habegger, G. Masbaum, P. Vogel, Three-manifold invariants derived from the Kauffman bracket, Topology 31 (1992), 685-699.



Notes de mini-cours et école d'été

Mini-cours, Clermont-Ferrand, Septembre 2006 Khovanov homology
Ecole d'été 99, Grenoble: notes de cours