C*-Algebras of Transformation Groups with Smooth Orbit Space
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Why the Quantum
Deep Beauty: Mathematical Innovation and the Search for an Underlying Intelligibility of the Quantum World A Symposium and Book Publication Program Sponsored by Princeton University’s Department of Philosophy Supported by a Grant from the John Templeton Foundation Celebrating the Life and Legacy of John von Neumann and the 75th Anniversary of the Publication of His Classic Text: The Mathematical Foundations of Quantum Mechanics* Symposium: October 3 – October 4, 2007 Princeton, New Jersey _______________________ Revised 09-11-07, PContractor ________________ * von Neumann, Johann. Mathematische grundlagen der quantenmechanik. Berlin: J. Springer, 1932. Deep Beauty:Mathematical Innovation and the Search for an Underlying Intelligibility of the Quantum World John von Neumann,1903-1957 Courtesy of the Archives of the Institute for Advanced Study (Princeton)* The following photos are copyrighted by the Institute for Advanced Study, and they were photographed by Alan Richards unless otherwise specified. For copyright information, visit http://admin.ias.edu/hslib/archives.htm. *[ED. NOTE: ELLIPSIS WILL WRITE FOR PERMISSION IF PHOTO IS USED; SEE http://www.physics.umd.edu/robot/neumann.html] Page 2 of 14 Deep Beauty:Mathematical Innovation and the Search for an Underlying Intelligibility of the Quantum World Project Overview and Background DEEP BEAUTY: Mathematical Innovation and the Search for an Underlying Intelligibility of the Quantum World celebrates the life and legacy of the scientific and mathematical polymath John Von Neumann 50 years after his death and 75 years following the publication of his renowned, path- breaking classic text, The Mathematical Foundations of Quantum Mechanics.* The program, supported by a grant from the John Templeton Foundation, consists of (1) a two-day symposium sponsored by the Department of Philosophy at Princeton University to be held in Princeton October 3–4, 2007 and (2) a subsequent research volume to be published by a major academic press. -
Emissary | Spring 2020
Spring 2020 EMISSARY M a t h e m a t i c a lSc i e n c e sRe s e a r c hIn s t i t u t e www.msri.org Higher Categories and Categorification David Gepner and Claudia Scheimbauer Categories arise everywhere in mathematics: things we study usu- ally come with a natural notion of maps between them, such as sets and functions between them, vector spaces and linear trans- formation, groups and homomorphisms, . In practice, there are often many natural choices of maps: for instance, in geometry, one can take for morphisms all functions, continuous functions, differ- entiable functions, smooth functions, polynomial functions, and others. The first concepts in category theory were formulated by Eilenberg and Mac Lane in the early 1940s in an attempt to make precise the notion of naturality in mathematics. They were driven by examples coming from algebraic topology: in particular, studying how points, Cutting manifolds into simple pieces is one way higher cate- paths, triangles, and so on, relate when we continuously deform the gories arise naturally. spaces in which they live. (See the figure on page 4.) is again a morphism. This composition rule is associative — that is, Formally, a category C consists of classes of objects {A,B,C,...} (h g) f = h (g f) — and has identities. and morphisms {f,g,h,...} between objects, together with a rule ◦ ◦ ◦ ◦ for composing (uniquely) morphisms with compatible source and Categories arise from geometric objects themselves. From a sur- target: if f : A B and g : B C are morphisms then g f : A C face, or more generally a topological space X, we can produce a ! ! ◦ ! (continued on page 4) Mathical Inspires Children Nationwide In response to the COVID-19 The Mathical Book Prize, now in its sixth venture, and much more. -
Norman Cousins Papers, 1924-1991, Bulk 1944-1990
http://oac.cdlib.org/findaid/ark:/13030/ft558004w3 No online items Finding Aid for the Norman Cousins papers, 1924-1991, bulk 1944-1990 Processed by Manuscripts Division staff; machine-readable finding aid created by Caroline Cubé UCLA Library, Department of Special Collections Manuscripts Division Room A1713, Charles E. Young Research Library Box 951575 Los Angeles, CA 90095-1575 Email: [email protected] URL: http://www.library.ucla.edu/libraries/special/scweb/ © 2002 The Regents of the University of California. All rights reserved. Finding Aid for the Norman 1385 1 Cousins papers, 1924-1991, bulk 1944-1990 Finding Aid for the Norman Cousins Papers, 1924-1991, bulk 1944-1990 Collection number: 1385 UCLA Library, Department of Special Collections Manuscripts Division Los Angeles, CA Contact Information Manuscripts Division UCLA Library, Department of Special Collections Room A1713, Charles E. Young Research Library Box 951575 Los Angeles, CA 90095-1575 Telephone: 310/825-4988 (10:00 a.m. - 4:45 p.m., Pacific Time) Email: [email protected] URL: http://www.library.ucla.edu/libraries/special/scweb/ Processed by: Manuscripts Division staff Encoded by: Caroline Cubé Text converted and initial container list EAD tagging in part by: Apex Data Services © 2002 The Regents of the University of California. All rights reserved. Descriptive Summary Title: Norman Cousins papers, Date (inclusive): 1924-1991, bulk 1944-1990 Collection number: 1385 Creator: Cousins, Norman. Extent: 1816 boxes (908 linear ft.) Repository: University of California, Los Angeles. Library. Department of Special Collections. Los Angeles, California 90095-1575 Physical location: Stored off-site at SRLF. Advance notice is required for access to the collection. -
Operator Algebras and Their Applications a Tribute to Richard V
671 Operator Algebras and Their Applications A Tribute to Richard V. Kadison AMS Special Session Operator Algebras and Their Applications: A Tribute to Richard V. Kadison January 10–11, 2015 San Antonio, TX Robert S. Doran Efton Park Editors American Mathematical Society Operator Algebras and Their Applications A Tribute to Richard V. Kadison AMS Special Session Operator Algebras and Their Applications: A Tribute to Richard V. Kadison January 10–11, 2015 San Antonio, TX Robert S. Doran Efton Park Editors Richard V. Kadison 671 Operator Algebras and Their Applications A Tribute to Richard V. Kadison AMS Special Session Operator Algebras and Their Applications: A Tribute to Richard V. Kadison January 10–11, 2015 San Antonio, TX Robert S. Doran Efton Park Editors American Mathematical Society Providence, Rhode Island EDITORIAL COMMITTEE Dennis DeTurck, Managing Editor Michael Loss Kailash Misra Catherine Yan 2010 Mathematics Subject Classification. Primary 46L05, 46L10, 46L35, 46L55, 46L87, 19K56, 22E45. The photo of Richard V. Kadison on page ii is courtesy of Gestur Olafsson. Library of Congress Cataloging-in-Publication Data Names: Kadison, Richard V., 1925- | Doran, Robert S., 1937- | Park, Efton. Title: Operator algebras and their applications : a tribute to Richard V. Kadison : AMS Special Session, January 10-11, 2015, San Antonio, Texas / Robert S. Doran, Efton Park, editors. Description: Providence, Rhode Island : American Mathematical Society, [2016] | Series: Con- temporary mathematics ; volume 671 | Includes bibliographical references. Identifiers: LCCN 2015043280 | ISBN 9781470419486 (alk. paper) Subjects: LCSH: Operator algebras–Congresses. — AMS: Functional analysis – Selfadjoint operator algebras (C∗-algebras, von Neumann (W ∗-) algebras, etc.) – General theory of C∗- algebras. msc | Functional analysis – Selfadjoint operator algebras (C∗-algebras, von Neumann (W ∗-) algebras, etc.) – General theory of von Neumann algebras.