Noncommutative Coordinates for Symplectic Representations

Noncommutative Coordinates for Symplectic Representations PDF Author: Daniele Alessandrini
Publisher: American Mathematical Society
ISBN: 1470471086
Category : Mathematics
Languages : en
Pages : 130

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In the Tradition of Thurston II

In the Tradition of Thurston II PDF Author: Ken’ichi Ohshika
Publisher: Springer Nature
ISBN: 3030975606
Category : Mathematics
Languages : en
Pages : 525

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Book Description
The purpose of this volume and of the other volumes in the same series is to provide a collection of surveys that allows the reader to learn the important aspects of William Thurston’s heritage. Thurston’s ideas have altered the course of twentieth century mathematics, and they continue to have a significant influence on succeeding generations of mathematicians. The topics covered in the present volume include com-plex hyperbolic Kleinian groups, Möbius structures, hyperbolic ends, cone 3-manifolds, Thurston’s norm, surgeries in representation varieties, triangulations, spaces of polygo-nal decompositions and of singular flat structures on surfaces, combination theorems in the theories of Kleinian groups, hyperbolic groups and holomorphic dynamics, the dynamics and iteration of rational maps, automatic groups, and the combinatorics of right-angled Artin groups.

On the Nodal Set of Solutions to a Class of Nonlocal Parabolic Equations

On the Nodal Set of Solutions to a Class of Nonlocal Parabolic Equations PDF Author: Alessandro Audrito
Publisher: American Mathematical Society
ISBN: 1470471353
Category : Mathematics
Languages : en
Pages : 130

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Symbolic Dynamics for Nonuniformly Hyperbolic Maps with Singularities in High Dimension

Symbolic Dynamics for Nonuniformly Hyperbolic Maps with Singularities in High Dimension PDF Author: Ermerson Araujo
Publisher: American Mathematical Society
ISBN: 1470471337
Category : Mathematics
Languages : en
Pages : 130

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The Strong K�nneth Theorem for Topological Periodic Cyclic Homology

The Strong K�nneth Theorem for Topological Periodic Cyclic Homology PDF Author: Andrew J. Blumberg
Publisher: American Mathematical Society
ISBN: 1470471388
Category : Mathematics
Languages : en
Pages : 114

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Amenability and Weak Containment for Actions of Locally Compact Groups on $C^*$-Algebras

Amenability and Weak Containment for Actions of Locally Compact Groups on $C^*$-Algebras PDF Author: Alcides Buss
Publisher: American Mathematical Society
ISBN: 1470471523
Category : Mathematics
Languages : en
Pages : 100

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The Further Chameleon Groups of Richard Thompson and Graham Higman: Automorphisms via Dynamics for the Higman-Thompson Groups $G_{n,r}$

The Further Chameleon Groups of Richard Thompson and Graham Higman: Automorphisms via Dynamics for the Higman-Thompson Groups $G_{n,r}$ PDF Author: C. Bleak
Publisher: American Mathematical Society
ISBN: 1470471450
Category : Mathematics
Languages : en
Pages : 108

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Prandtl-Meyer Reflection Configurations, Transonic Shocks, and Free Boundary Problems

Prandtl-Meyer Reflection Configurations, Transonic Shocks, and Free Boundary Problems PDF Author: Myoungjean Bae
Publisher: American Mathematical Society
ISBN: 1470462702
Category : Mathematics
Languages : en
Pages : 252

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Representation Theory and Noncommutative Harmonic Analysis I

Representation Theory and Noncommutative Harmonic Analysis I PDF Author: A.A. Kirillov
Publisher: Springer Science & Business Media
ISBN: 3662030020
Category : Mathematics
Languages : en
Pages : 241

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Book Description
This two-part survey provides a short review of the classical part of representation theory, carefully exposing the structure of the theory without overwhelming readers with details, and deals with representations of Virasoro and Kac-Moody algebra. It presents a wealth of recent results on representations of infinite-dimensional groups.

Geometric Models for Noncommutative Algebras

Geometric Models for Noncommutative Algebras PDF Author: Ana Cannas da Silva
Publisher: American Mathematical Soc.
ISBN: 9780821809525
Category : Mathematics
Languages : en
Pages : 202

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Book Description
The volume is based on a course, ``Geometric Models for Noncommutative Algebras'' taught by Professor Weinstein at Berkeley. Noncommutative geometry is the study of noncommutative algebras as if they were algebras of functions on spaces, for example, the commutative algebras associated to affine algebraic varieties, differentiable manifolds, topological spaces, and measure spaces. In this work, the authors discuss several types of geometric objects (in the usual sense of sets with structure) that are closely related to noncommutative algebras. Central to the discussion are symplectic and Poisson manifolds, which arise when noncommutative algebras are obtained by deforming commutative algebras. The authors also give a detailed study of groupoids (whose role in noncommutative geometry has been stressed by Connes) as well as of Lie algebroids, the infinitesimal approximations to differentiable groupoids. Featured are many interesting examples, applications, and exercises. The book starts with basic definitions and builds to (still) open questions. It is suitable for use as a graduate text. An extensive bibliography and index are included.