Geometry and Dynamics of Groups and Spaces

Contributions by many prominent mathematicians Provides an extensive survey on Kleinian groups in higher dimensions Contains an unpublished book "Analytic Topology of Groups, Actions, Strings and Varieties" by Alexander Reznikov Includes supplementary material: sn.pub/extras

Klappentext

This book presents 18 articles by prominent mathematicians, dedicated to the memory of Alexander Reznikov (1960-2003), a brilliant highly original mathematician with broad mathematical interests. In addition it contains an influential, so far unpublished manuscript of Reznikov of book length. The research articles broadly reflect the range of Reznikov's own interests in geometry, group and number theory, functional analysis, dynamical systems and topology. In addition, there are surveys "Geometrization of probability", "Kleinian groups in higher dimensions", "(C,F)-construction of funny rank-one actions for locally compact groups", and some articles centering on Reznikov as a person. TOC:Preface.- Alexander Reznikov (1960-2003).- Contributions by V. Armitage, J.-M. Bismut, D.V. Borisov, P. Bressler, A. Danilenko, T. Delzant, H. Esnault, A. Fel'shtyn, D. Goncalves, A. Goncharov, A. Gorokhovsky, R. Grigorchuk, B. Guilfoyle, P.H. Hai, J.N. Iyer, M. Kapovich, W. Klingenberg, V. Lyubashenko, Y.I. Manin, O. Manzyuk, V.T. Milman, P. Moree, M. Morishita, R. Nest, J.-P. Otal, J.R. Parker, A. Reznikov, C.T. Simpson, Y. Soibelman, X. Sun, B. Tsygan, M. Zaidenberg.

Zusammenfassung
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 In addition it contains an influential, so far unpublished manuscript by Reznikov of book length.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.

Inhalt
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.