Winter School /  IHP Graduate Course
Type, cotype and martingales on Banach spaces and metric spaces

I.H.P. (Paris) February 2-8, 2011

    The Winter School will consist in two courses of 10 hours each, given by :

Bernard Maurey (Université Paris Diderot - Paris 7 and Université Paris-Est Marne-la-Vallée)
Gilles Pisier (Université Pierre et Marie Curie - Paris 6 and Texas A&M University).

  This school is part of the Metric geometry, algorithms and groups program at the I.H.P., which is twinned with the Discrete Analysis program of the Isaac Newton Institute for Mathematical Sciences. It will be held at he Institut Henri Poincaré(I.H.P.) from February 2 to 8, 2011. The courses are part of the Graduate program of the I.H.P  and of the École Doctorale des Sciences Mathématiques de Paris-Centre and are addressed to non-specialists. Participation of postdocs and PhD students is strongly encouraged.

    The idea of describing the geometry of Banach spaces using the concepts of type and cotype has emerged in 70's. In the last ten years, it has been revisited in the context of non-linear spaces and successfully adapted to study of the geometry of metric spaces and their distortion through Lipschitz embeddings. These courses will be an opportunity to learn a variety of tools and results, which range from convexity, to probability and harmonic analysis.

Program and Schedule

Two courses of 10h each, from Wednesday 2 to Tuesday 8 with a break on the week-end. Follow the links for a description of the courses.

February 2011
Wednesday 2, Thursday 3,  Friday 4 / Monday 7, Tuesday 8

10h30 - 12h30

Gilles Pisier

Uniform convexity and related metric geometric properties of Banach spaces

Typescript of the course from Gilles Pisier
Manuscript of the course from Tomasz Tkocz

14h30 - 16h30

Bernard Maurey

Type and cotype of Banach spaces

Manuscript of the course from Tomasz Tkocz

Practical informations

Registration and support

Registration and support are closed.


Be sure to book your hotel very early (at least a month in advance), since accommodations in Paris are difficult to find. Click here for a list of hotels.

Location and directions

The Institut Henri Poincaré (I.H.P.) is easily accessible by RER or Bus. Click here to see a map.

We will welcome all participants Wednesday, February 2 at 9h45 in the Cafeteria of the Institut Henri Poincare with some coffee, tea and viennoiseries.

Please note that the talks of the first half - Wednesday, Thursday and Friday - will be held in the Amphitheater Perrin (and not in Darboux, which seems to be slightly too small). The Amphitheater Perrin is located in the "Physics" building just in front of the IHP building. To enter the building press the red button. The Amphitheater Perrin is then on the left of the entrance Hall. All these informations will be recalled in the entrance of the IHP, together with directions (everything is within a radius of 20 meters)


Dario Cordero-Erausquin (UPMC) Matthieu Fradelizi (UPEMLV), Olivier Guédon (UPEMLV),  Pierre Pansu (Orsay and ENS)

Contact:  ecolehiver@NO_SPAM_univ-mlv.fr (erase NO_SPAM_ only if you are not a robot).

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