Braid Groups, Clusters and Free Probability January 10 to January 14, 2005 AIM Research Conference Center, Palo Alto, CA Organizers: Jon McCammond, Alexandru Nica, and Victor Reiner Workshop topics: This workshop, sponsored by AIM and the NSF, will be devoted to deciphering the mysterious connections between the following objects: - Garside monoid structures for Coxeter and braid groups, and the associated "lattices of non-crossing partitions" which (in the types A and B) also govern the "R-transforms" of free probability - the cluster algebras of Fomin and Zelevinsky, and the associated polytopes known as "generalized associahedra" - ad-nilpotent ideals within Borel subalgebras of semisimple Lie algebras, or equivalently, subsets of pairwise incomparable positive roots Application deadline: October 15, 2004 For more information: http://aimath.org/ARCC/workshops/braidgroups.html