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Introduction to Sofic and Hyperlinear Groups and Connes' Embedding Conjecture

This monograph presents some cornerstone results in the study of sofic and hyperlinear groups and the closely related Connes' embedding;

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The Novikov Conjecture

These lecture notes contain a guided tour to the Novikov Conjecture and related conjectures due to Baum-Connes, Borel and Farrell-Jones;

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Brauer Type Embedding Problems

seeking an introduction to embedding problems and inverse Galois theory. It will also be a useful reference for researchers in the field.;

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Polynomial Rings and Affine Algebraic Geometry

questions of rationality, unirationality, and birationality. These papers will be of interest to all researchers and graduate students working;

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Character Theory and the McKay Conjecture

comprehensive introduction to these conjectures, while assuming minimal background knowledge. Character theory is explored in detail along the way, from;

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Polynomial Rings and Affine Algebraic Geometry: Praag 2018, Tokyo, Japan, February 12-16

questions of rationality, unirationality, and birationality. These papers will be of interest to all researchers and graduate students working;

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The Langlands Classification and Irreducible Characters for Real Reductive Groups

introduction to some modern geometric methods in representation theory. It is addressed to graduate students and research workers in representation;

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The Planar Cubic Cayley Graphs

and Watkins. The author's analysis makes the involved graphs accessible to computation, corroborating a conjecture of Droms.;

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Ergodic Theory

This book provides an introduction to the ergodic theory and topological dynamics of actions of countable groups. It is organized around;

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Surveys in Noncommutative Geometry

account of the 'residue index theorem' of Connes and Moscovici. Noncommutative geometry is to an unusual extent the creation of a single;

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Representations of Solvable Groups

. The information obtained can then be applied to infinite modules, and in particular to character theory (ordinary and Brauer) of solvable;

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A Tool Kit for Groupoid $C^{*}$-Algebras

noncommutative geometry. This book provides a detailed introduction to this vast subject and is suitable for graduate students or any researcher who;

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The Local Langlands Conjecture for GL(2)

The Local Langlands Conjecture for GL(2) contributes an unprecedented text to the so-called Langlands theory. It is an ambitious research;

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Idempotent Matrices over Complex Group Algebras

isometrically on a Riemannian manifold. Then, following A. Connes and H. Moscovici [16], the index of an invariant 0th-order elliptic pseudo-di?erential;

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Derived Langlands

generalised to the tom Dieck spaces (now known as the Baum-Connes spaces) when G is a locally p-adic Lie group.The purpose of this monograph is to;

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Periods of Quaternionic Shimura Varieties. I.

of integrality properties of the theta correspondence for quaternionic unitary groups. The methods and constructions of the book are expected to have;

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London Mathematical Society Lecture Note Series

to Thurston's K=2 conjecture by Epstein, Marden and Markovic. It also contains Jorgensen's famous paper 'On pairs of once punctured tori;

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Around Langlands Correspondences

-Connes conjecture. The aim of this volume is to present, through a mix of research and expository articles, some of the fascinating new;

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Galois Embedding Problems

method to describe all solutions of these problems and apply our method in a special case. Our constructive approach provides the theoretical;

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The Spread of Almost Simple Classical Groups

this property are said to be 3/2-generated. Breuer, Guralnick and Kantor conjectured that a finite group is 3/2-generated if and only if every;

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Cohomology of Groups and Algebraic K-theory

experts presented introductions, to and surveys of, many aspects of cohomology of groups and algebraic K-theory, along with their broad;

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Transcendental Aspects of Algebraic Cycles

ideal for graduate students or researchers seeking a modern introduction to the state-of-the-art theory in this subject.;

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C*-Algebras

workshop was to bring together leading experts in the theory of C* -algebras with promising young researchers in the field, and to provide a;

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Mathematical Sciences Research Institute Publications

are correspondingly more complex. In the 1980s, Alain Connes founded what is now known as noncommutative geometry and topology. One of the;

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The Geometry and Topology of Coxeter Groups. (LMS-32)

The Geometry and Topology of Coxeter Groups is a comprehensive and authoritative treatment of Coxeter groups from the viewpoint;

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Quantum Isometry Groups

first book to present the research on the quantum isometry group , highlighting the interaction of noncommutative geometry and quantum groups;

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Topological Transformation Groups

authors Deane Montgomery and Leo Zippin, undertaken in collaboration with Andrew Gleason of Harvard University, that led to their solution of a;

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