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Geometric Group Theory August 15, 2016 to December 16, 2016
Organizers Ian Agol (University of California, Berkeley), Mladen Bestvina (University of Utah), Cornelia Drutu (University of Oxford), LEAD Mark Feighn (Rutgers University), Michah Sageev (Technion---Israel Institute of Technology), Karen Vogtmann (University of Warwick)
The field of geometric group theory emerged from Gromov’s insight that even mathematical objects such as groups, which are defined completely in algebraic terms, can be profitably viewed as geometric objects and studied with geometric techniques Contemporary geometric group theory has broadened its scope considerably, but retains this basic philosophy of reformulating in geometric terms problems from diverse areas of mathematics and then solving them with a variety of tools. The growing list of areas where this general approach has been successful includes low-dimensional topology, the theory of manifolds, algebraic topology, complex dynamics, combinatorial group theory, algebra, logic, the study of various classical families of groups, Riemannian geometry and representation theory. The goals of this MSRI program are to bring together people from the various branches of the field in order to consolidate recent progress, chart new directions, and train the next generation of geometric group theorists. Summary of Program
Keywords and Mathematics Subject Classification (MSC)
  • groups

  • geometry

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Programmatic Workshops
August 17, 2016 - August 19, 2016 Connections for Women: Geometric Group Theory
August 22, 2016 - August 26, 2016 Introductory Workshop: Geometric Group Theory
September 27, 2016 - September 30, 2016 Groups acting on CAT(0) spaces
October 25, 2016 - October 28, 2016 Geometry of mapping class groups and Out(Fn)
December 06, 2016 - December 09, 2016 Amenability, coarse embeddability and fixed point properties