#
Free Analysis

June 19 to June 23, 2006
at the

American Institute of Mathematics,
Palo Alto, California

organized by

Dimitri Shlyakhtenko and Dan Voiculescu

## Original Announcement

This workshop will be devoted to the
non-commutative analysis underlying problems in areas related to free
probability theory. Typical examples of these are L^{2} questions for
free difference quotient derivations.
The topics of the workshop are:

- free entropy (the analog of entropy in free probability theory)
- L
^{2} Betti numbers for von Neumann algebras;
- large deviations for random multi-matrix systems.

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.

## Material from the workshop

A list of participants.
The workshop schedule.

A report on the workshop activities.