Geometry and dynamics of groups and spaces: In memory of A.Reznikov

Mikhail Kapranov, Sergii Kolyada, Yu. I. Manin, Pieter Moree, Leonid Potyagailo376438607X, 9783764386078, 9783764386085

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 In addition it contains an influential, so far unpublished manuscript of Reznikov of book length.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

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Table of contents :
Cover……Page 1
Progress in Mathematics Volume 26……Page 3
Geometry and Dynamics of Groups and Spaces……Page 4
Contents……Page 6
Preface……Page 8
Short Recollections about Sasha……Page 16
Sipping Tea with Sasha……Page 25
Part I Analytic Topology of Groups, Actions, Strings and Varieties……Page 30
Analytic Topology of Groups, Actions, Strings and Varieties……Page 31
Part II Research Articles……Page 122
Jørgensen’s Inequality for Non-Archimedean Metric SpacesJørgensen’s Inequality for Non-Archimedean Metric Spaces……Page 123
The Hypoelliptic Dirac Operator……Page 138
Generalized Operads and Their Inner Cohomomorphisms……Page 272
Chern Character for Twisted Complexes……Page 334
(C, F)-Actions in Ergodic Theory……Page 350
Homomorphic Images of Branch Groups, and Serre’s Property (FA)……Page 377
On Nori’s Fundamental Group Scheme……Page 400
The Reidemeister Number of Any Automorphism of a Baumslag-Solitar Group is Infinite……Page 422
Pentagon Relation for the Quantum Dilogarithm and Quantized M cyc 0,5……Page 438
Geodesic Flow on the Normal Congruence of a Minimal Surface……Page 452
The Chern Character of a Parabolic Bundle, and a Parabolic Corollary of Reznikov’s Theorem……Page 462
Kleinian Groups in Higher Dimensions……Page 509
A∞-bimodules and Serre A∞-functors……Page 587
Geometrization of Probability……Page 668
Milnor Invariants and l-Class Groups……Page 689
Three Topological Properties of Small Eigenfunctions on Hyperbolic Surfaces……Page 704
Quantum p-adic Spaces and Quantum p-adic Groups……Page 715
Convolution Equations on Lattices: Periodic Solutions with Values in a Prime Characteristic Field……Page 738