BEN GURION UNIVERSITY OF THE NEGEV DEPARTMENT OF MATHEMATICS ================================== Operator and System Theory Seminar ================================== SPEAKER: Ami Viselter, University of Alberta TITLE: Locally compact quantum groups and amenability DATE: Monday, January 2, 2012 PLACE: Room -101, Mathematics Building, BGU TIME: 14:10 ABSTRACT: The concept of group duality is one of the most fundamental ones in the analysis of abelian, locally compact groups. The theory of quantum groups was initially developed in order to provide a framework for duality of general locally compact groups. The first such framework, called Kac algebras, turned out to be too restrictive when more and more examples of "quantum" groups emerged, which didn't fit into this category. Other collections of axioms, defining so-called quantum groups (in a broader sense), were therefore sought. Building on the preceding, deep work of Kac and Vainerman, Enock and Schwartz, Woronowicz and Baaj and Skandalis (to name a few), Kustermans and Vaes suggested in 1999 a relatively simple set of axioms for "locally compact quantum groups" (LCQGs). In this talk we will introduce their definition, show the basic examples, and discuss a few specific types of LCQGs. Afterwards, we will review the definition of amenability for locally compact groups, present its generalization(s) to LCQGs, and relate several problems of current research connected with these notions. All relevant terms will be defined/sketched during the talk; we will only assume familiarity with "standard" functional analysis. In particular, no prior knowledge of harmonic analysis or (algebraic) quantum groups is required. For further announcements see <http://www.math.bgu.ac.il/~vinnikov/otseminar> For further information please contact: Daniel Alpay <dany@math.bgu.ac.il> , phone: 08-6461603 Victor Vinnikov <vinnikov@math.bgu.ac.il> , phone: 08-6461618 --------------------------------------------------------- Technion Math Net-2 (TECHMATH2) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: Victor Vinnikov <vinnikov@cs.bgu.ac.il>