Free Analysis

June 19 to June 23, 2006

at the

American Institute of Mathematics, Palo Alto, California

organized by

Dimitri Shlyakhtenko and Dan Voiculescu

This workshop, sponsored by AIM and the NSF, will be devoted to the non-commutative analysis underlying problems in areas related to free probability theory. Typical examples of these are L2 questions for free difference quotient derivations.

The topics of the workshop are:

It is important to determine the right estimates or continuities required by these problems. Bringing together people working in von Neumann algebras and probability theory will offer an opportunity to compare methods and to subject what is being tried in one context to the test of its consequences in another one.

The workshop will differ from typical conferences in some regards. Participants will be invited to suggest open problems and questions before the workshop begins, and these will be posted on the workshop website. These include specific problems on which there is hope of making some progress during the workshop, as well as more ambitious problems which may influence the future activity of the field. Lectures at the workshop will be focused on familiarizing the participants with the background material leading up to specific problems, and the schedule will include discussion and parallel working sessions.

The deadline to apply for support to participate in this workshop has passed.

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