Geometry and Dynamics of Groups and Spaces: In Memory of Alexander Reznikov

by Kapranov, Mikhail

• ISBN13: 9783764386078
• ISBN10: 376438607X
• Edition: 1st
• Format: Hardcover
• Copyright: 2008-02-01
• Publisher: BIRKHAUSER BOSTON INC

Summary

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 In addition it contains an influential, so far unpublished manuscript of Reznikov of book length.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

Table of Contents

Preface	p. v
Short Recollections about Sasha	p. xiii
Sipping Tea with Sasha	p. xxiii
Analytic Topology of Groups, Actions, Strings and Varieties
Analytic Topology of Groups, Actions, Strings and Varieties	p. 3
Research Articles
Jørgensen's Inequality for Non-Archimedean Metric Spaces	p. 97
The Hypoelliptic Dirac Operator	p. 113
Generalized Operads and Their Inner Cohomomorphisms	p. 247
Chern Character for Twisted Complexes	p. 309
(C, F)-Actions in Ergodic Theory	p. 325
Homomorphic Images of Branch Groups, and Serre's Property (FA)	p. 353
On Nori's Fundamental Group Scheme	p. 377
The Reidemeister Number of Any Automorphism of a Baumslag-Solitar Group is Infinite	p. 399
Pentagon Relation for the Quantum Dilogarithm and Quantized <$>{\cal M}_{0,5}^{{\rm cyc}}<$>	p. 415
Geodesic Flow on the Normal Congruence of a Minimal Surface	p. 429
The Chern Character of a Parabolic Bundle, and a Parabolic Corollary of Reznikov's Theorem	p. 439
Kleinian Groups in Higher Dimensions	p. 487
A∞-bimodules and Serre A∞-functors	p. 565
Geometrization of Probability	p. 647
Milnor Invariants and l-Class Groups	p. 669
Three Topological Properties of Small Eigenfunctions on Hyperbolic Surfaces	p. 685
Quantum p-adic Spaces and Quantum p-adic Groups	p. 697
Convolution Equations on Lattices: Periodic Solutions with Values in a Prime Characteristic Field	p. 721
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