Activities organised by SÉDIGA

2009/2010

Working seminar, 2009/2010.
Organizers: Serguei Barannikov & Claude Sabbah
Topic: Towards non-commutative Hodge theory
Contacts: Serguei Barannikov & Claude Sabbah
When?: One or two wednesdays each month, 14h-17h
Where?: ENS Paris, 45 rue d'Ulm, Room Info 2 (Level -1 under the "new" library)

Description: Around the article
Hodge theoretic aspects of Mirror symmetry by L. Katzarkov, M. Kontsevich & T. Pantev, From Hodge theory to integrability and TQFT: tt*-geometry, R. Donagi et K. Wendland ed., Proc. Symposia in Pure Math. vol. 78, Amer. Math. Soc. 2008, p. 87-174, arXiv: 0806.0107.

Program:

Wednesday, March 24
14h Alexander Polishuk (IHÉS): Introduction to curved dg-algebras
15h30 Alexander Givental (UC Berkeley and IHÉS): TBA

Wednesday, February 17, salle des Résistants (1rst floor) (Be careful, NOT the usual room)
14h Bertrand Toen (Montpellier): Dégénérescence de Hodge vers de Rham (d'après Kaledin)
15h30 Bertrand Toen (Montpellier): K-théorie topologique des dg-algèbres

Wednesday, January 6
14h Christian Sevenheck (Mannheim): Landau-Ginzburg models for toric Fano manifolds pdf
15h30 Étienne Mann (Montpellier): Mirror symmetry in terms of nc Hodge structures pdf

Wednesday, December 16
14h Serguei Barannikov: dg BV-algebras and variations of non commutative Hodge structures
15h30 Étienne Mann (Montpellier): Non-commutative Hodge structure on quantum cohomology pdf
[Abstract: We discuss some of the axioms of nc-Hodge structure for manifolds and may see that they are natural for toric Fano manifolds]

Wednesday, December 2, salle des Résistants (1rst floor) (Be careful, NOT the usual room)
14h Maxim Kontsevich (IHÉS): Mixed exponential motives
15h30 Maxim Kontsevich (IHÉS): Mixed motives in the non-commutative setting

Wednesday, November 18
14h Serguei Barannikov: Deformations of nc spaces nc and gluing data
15h30 Alexander Shannon (Cambridge): Examples of non commutative Gauss-Manin connections pdf

Tuesday, November 10, salle des actes (1rst floor, Stairs A) (Be careful, NOT a Wednesday and NOT the usual room)
14h Giovanni Morando (Padua): Données de recollement (transformation de Laplace)
15h30 Claude Sabbah: Structure de Hodge non commutative pour le miroir de l'espace projectif (II) pdf

Wednesday, October 21
14h Serguei Barannikov: Structure de Hodge non commutative sur l'homologie cyclique périodique
15h30  Jean-Baptiste Teyssier: Structure de Hodge non commutative pour le miroir de l'espace projectif (I) pdf

Wednesday, October 7
14h Claude Sabbah: Introduction aux structures de Hodge non commutatives, d'après Katzarkov, Kontsevich et Pantev pdf
15h30 Jean-Baptiste Teyssier: Structures de Hodge et structures de Hodge non commutatives pdf