Geometry and Dynamics of Groups and Spaces

Alexander Reznikov (1960-2003) was a brilliant and highly original mathematician. This book presents 18 articles by prominent mathematicians and is dedicated to his memory. In addition it contains an influential, so far unpublished manuscript by Reznikov of book length. The book further provides an extensive survey on Kleinian groups in higher dimensions and some articles centering on Reznikov as a person.

Contenu
Analytic Topology of Groups, Actions, Strings and Varieties.- Analytic Topology of Groups, Actions, Strings and Varieties.- Research Articles.- Jørgensen's Inequality for Non-Archimedean Metric Spaces.- The Hypoelliptic Dirac Operator.- Generalized Operads and Their Inner Cohomomorphisms.- Chern Character for Twisted Complexes.- (C, F)-Actions in Ergodic Theory.- Homomorphic Images of Branch Groups, and Serre's Property (FA).- On Nori's Fundamental Group Scheme.- The Reidemeister Number of Any Automorphism of a Baumslag-Solitar Group is Infinite.- Pentagon Relation for the Quantum Dilogarithm and Quantized M 0,5 cyc .- Geodesic Flow on the Normal Congruence of a Minimal Surface.- The Chern Character of a Parabolic Bundle, and a Parabolic Corollary of Reznikov's Theorem.- Kleinian Groups in Higher Dimensions.- A ?-bimodules and Serre A ?-functors.- Geometrization of Probability.- Milnor Invariants and l-Class Groups.- Three Topological Properties of Small Eigenfunctions on Hyperbolic Surfaces.- Quantum p-adic Spaces and Quantum p-adic Groups.- Convolution Equations on Lattices: Periodic Solutions with Values in a Prime Characteristic Field.