SCIENTIFIC ACTIVITIES

October 22, 2014

THE FIELDS INSTITUTE FOR RESEARCH IN MATHEMATICAL SCIENCES
20th ANNIVERSARY YEAR

Back2Fields COLLOQUIUM SERIES
October 22, 2012 at 3:30p.m.
Fields Institute, (map)

Valentin Ferenczi,
Universidade de São Paulo and l'Université Pierre et Marie Curie - Paris 6

On Gowers' classification program in Banach space theory
&
Christian Rosendal
University of Illinois at Chicago,

On isometry groups and maximal symmetry

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Valentin Ferenczi, Universidade de São Paulo and l'Université Pierre et Marie Curie - Paris 6
On Gowers' classification program in Banach space theory
(slides)

We shall survey the program of classification of Banach spaces proposed by Fields medalist W.T. Gowers in the 1990s. The famous dichotomies of Gowers and their implications will be exposed, classical results from the 1970s will be revisited, and recent developments in the classification program will be presented.


Christian Rosendal, University of Illinois at Chicago
On bounded representations and maximal
symmetry
(slides)

We study problems of maximal symmetry in Banach spaces. This is done by providing an analysis of the structure of small subgroups of the general linear group GL(X), where X is a separable reflexive Banach space. In particular, we provide the first known example of a Banach space X without any equivalent maximal norm, or equivalently such that GL(X) contains no maximal bounded subgroup. Moreover, this space X may be chosen to be super-reflexive.


The Back2Fields Colloquium Series celebrates the accomplishments of former postdoctoral fellows of Fields Institute thematic programs. Over the past two decades, these programs attracted the rising stars of their field and often launches very distinguished research careers. As part of the 20th anniversary celebrations, this series of colloquium talks will allow the general mathematical public to become familiar with some of their work.

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