June 19 to June 23, 2006
American Institute of Mathematics,
Palo Alto, California
Dimitri Shlyakhtenko and Dan Voiculescu
This workshop 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.
- free entropy (the analog of entropy in free probability theory)
- L2 Betti numbers for von Neumann algebras;
- large deviations for random multi-matrix systems.
Material from the workshop
A list of participants.
The workshop schedule.
A report on the workshop activities.
A list of open problems.