Geometry, Topology, and Dynamics in Negative Curvature by C. S. Aravinda,F. T. Farrell,J.-F. Lafont

By C. S. Aravinda,F. T. Farrell,J.-F. Lafont

The ICM 2010 satellite tv for pc convention 'Geometry, Topology and Dynamics in damaging Curvature' afforded an outstanding chance to debate quite a few facets of this interesting interdisciplinary topic during which equipment and methods from geometry, topology, and dynamics frequently have interaction in novel and fascinating methods. Containing ten survey articles written via a few of the prime specialists within the box, this complaints quantity presents an outline of vital fresh advancements when it comes to unfavourable curvature. issues lined comprise homogeneous dynamics, harmonic manifolds, the Atiyah Conjecture, counting circles and arcs, and hyperbolic structures. each one writer can pay specific recognition to the expository facets, making the publication quite necessary for graduate scholars and mathematicians drawn to transitioning from different parts through the typical subject of unfavorable curvature.

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