# Program

The field of geometric group theory emerged from Gromovâ€™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 includesÂ 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)**

**Tags/Keywords**

groups

geometry

**Primary Mathematics Subject Classification**

**Secondary Mathematics Subject Classification**No Secondary AMS MSC

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 |