Noncommutative Lp spaces, Operator spaces and Applications (10w5005)


(University of Illinois, Urbana-Champaign)

Gilles Pisier (Texas A & M University)

Quanhua Xu (Universite de Franche-Comte)


The Banff International Research Station will host the "Noncommutative Lp spaces, Operator spaces and Applications" workshop from June 27 to July 2, 2010.

Noncommutative integration has a long history going back to pioneering works by von Neumann, Dixmier and Segal. In the first constructions the trace of a matrix or an operator replaces the
integral of a function. More recently (around 1980) generalizations to general von Neumann algebras without trace have appeared (Kosaki, Haagerup, Terp, Hilsum), thanks to great progress in operator algebra theory notably by Connes, Takesaki and Tomita.

Since the early nineties and the arrival of new theories like those of operator spaces and free probability, noncommutative integration is living another period of stimulating new developments. In particular, noncommutative Khintchine and martingale inequalities have opened new perspectives. The purpose of this workshop is to bring together researchers in noncommutative integration and operator space theory in order to
stimulate exchanges of expertise and ideas, to encourage the circulation of open problems and to deepen the synergies between these fields and other related directions.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the US National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnologí­a (CONACYT).