UNIVERSITY OF PENNSYLVANIA
Department of Mathematics
Spring 2004 - Hans Rademacher Lectures in Mathematics
Dan-Virgil VoiculescuDepartment of Mathematics, University of California, Berkeley
will deliver four lectures on
Aspects of Free Probability
The Free Parallel to Classical ProbabilityAbstract: We shall discuss a probabilistic framework for quantities with the highest degree of noncommutativity. Unexpectedly many concepts in classical probability theory have counterparts in this context.
Monday....February 23, 2004....4:00pm
Random Matrices and von Neumann AlgebrasAbstract: Von Neumann algebras and the large N limit of random matrices provide basic models of free probability. Equating the two has led to new insights in both subjects.
Tuesday....February 24, 2004....4:00pm
Free EntropyAbstract: There is a free analogue to Shannon's information-theoretic entropy for continuous random variables. The subject has connections with problems on II_1 factors, large deviations for random matrices and L^2 - Betti numbers.
Wednesday....February 25, 2004....4:00pm
Free Analysis QuestionsAbstract: Analysis questions around cyclic derivatives and free difference quotients appear naturally in free probability. Their study involves a large Lie algebra of infinitesimal symmetries of von Neumann algebras of free groups and respectively the coalgebra duality for the free difference quotient.
Thursday....February 26, 2004....4:00pm
Previous Rademacher Lecturers
All lectures will be held in room A-6 of the David Rittenhouse Laboratory, corner of 33rd and Walnut Streets, Philadelphia, PA.
Tea: 4E17 David Rittenhouse Laboratory, preceding the lectures at 3:30pm.
For further information, please call the Department of Mathematics at the University of Pennsylvania - 215-898-8627.