Beschreibung:
This book presents articles at the interface of two active areas of research: classical topology and the relatively new field of geometric group theory. It includes two long survey articles, one on proofs of the Farrell-Jones conjectures, and the other on ends of spaces and groups. In 2010-2011, Ohio State University (OSU) hosted a special year in topology and geometric group theory. Over the course of the year, there were seminars, workshops, short weekend conferences, and a major conference out of which this book resulted.
1.Arthur Bartels: On proofs of the Farrell-Jones Conjecture.- 2.Daniel Juan-Pineda and Luis Jorge Sanchez Saldana: The K- and L-theoretic Farrell-Jones Isomorphism conjecture for braid groups.- 3.Craig Guilbault: Ends, shapes, and boundaries in manifold topology and geometric group theory.- 4.Daniel Farley: A proof of Sageev's Theorem on hyperplanes in CAT(0) cubical complexes.- 5.Pierre-Emmanuel Caprace and Bertrand Remy: Simplicity of twin tree lattices with non-trivial commutation relations.- 6.Peter Kropholler: Groups with many finitary cohomology functors.