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The 'Crisis of Noosphere'
The ‘crisis of noosphere’ as a limiting factor to achieve the point of technological singularity Rafael Lahoz-Beltra Department of Applied Mathematics (Biomathematics). Faculty of Biological Sciences. Complutense University of Madrid. 28040 Madrid, Spain. [email protected] 1. Introduction One of the most significant developments in the history of human being is the invention of a way of keeping records of human knowledge, thoughts and ideas. The storage of knowledge is a sign of civilization, which has its origins in ancient visual languages e.g. in the cuneiform scripts and hieroglyphs until the achievement of phonetic languages with the invention of Gutenberg press. In 1926, the work of several thinkers such as Edouard Le Roy, Vladimir Ver- nadsky and Teilhard de Chardin led to the concept of noosphere, thus the idea that human cognition and knowledge transforms the biosphere coming to be something like the planet’s thinking layer. At present, is commonly accepted by some thinkers that the Internet is the medium that brings life to noosphere. Hereinafter, this essay will assume that the words Internet and noosphere refer to the same concept, analogy which will be justified later. 2 In 2005 Ray Kurzweil published the book The Singularity Is Near: When Humans Transcend Biology predicting an exponential increase of computers and also an exponential progress in different disciplines such as genetics, nanotechnology, robotics and artificial intelligence. The exponential evolution of these technologies is what is called Kurzweil’s “Law of Accelerating Returns”. The result of this rapid progress will lead to human beings what is known as tech- nological singularity. -
Elementary Functions: Towards Automatically Generated, Efficient
Elementary functions : towards automatically generated, efficient, and vectorizable implementations Hugues De Lassus Saint-Genies To cite this version: Hugues De Lassus Saint-Genies. Elementary functions : towards automatically generated, efficient, and vectorizable implementations. Other [cs.OH]. Université de Perpignan, 2018. English. NNT : 2018PERP0010. tel-01841424 HAL Id: tel-01841424 https://tel.archives-ouvertes.fr/tel-01841424 Submitted on 17 Jul 2018 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. Délivré par l’Université de Perpignan Via Domitia Préparée au sein de l’école doctorale 305 – Énergie et Environnement Et de l’unité de recherche DALI – LIRMM – CNRS UMR 5506 Spécialité: Informatique Présentée par Hugues de Lassus Saint-Geniès [email protected] Elementary functions: towards automatically generated, efficient, and vectorizable implementations Version soumise aux rapporteurs. Jury composé de : M. Florent de Dinechin Pr. INSA Lyon Rapporteur Mme Fabienne Jézéquel MC, HDR UParis 2 Rapporteur M. Marc Daumas Pr. UPVD Examinateur M. Lionel Lacassagne Pr. UParis 6 Examinateur M. Daniel Menard Pr. INSA Rennes Examinateur M. Éric Petit Ph.D. Intel Examinateur M. David Defour MC, HDR UPVD Directeur M. Guillaume Revy MC UPVD Codirecteur À la mémoire de ma grand-mère Françoise Lapergue et de Jos Perrot, marin-pêcheur bigouden. -
Publication List, Dated 2010
References [1] V. A. Voevodski˘ı. Galois group Gal(Q¯ =Q) and Teihmuller modular groups. In Proc. Conf. Constr. Methods and Alg. Number Theory, Minsk, 1989. [2] V. A. Voevodski˘ıand G. B. Shabat. Equilateral triangulations of Riemann surfaces, and curves over algebraic number fields. Dokl. Akad. Nauk SSSR, 304(2):265{268, 1989. [3] G. B. Shabat and V. A. Voevodsky. Drawing curves over number fields. In The Grothendieck Festschrift, Vol. III, volume 88 of Progr. Math., pages 199{227. Birkh¨auser Boston, Boston, MA, 1990. [4] V. A. Voevodski˘ı. Etale´ topologies of schemes over fields of finite type over Q. Izv. Akad. Nauk SSSR Ser. Mat., 54(6):1155{1167, 1990. [5] V. A. Voevodski˘ı. Flags and Grothendieck cartographical group in higher dimensions. CSTARCI Math. Preprints, (05-90), 1990. [6] V. A. Voevodski˘ı.Triangulations of oriented manifolds and ramified coverings of sphere (in Russian). In Proc. Conf. of Young Scientists. Moscow Univ. Press, 1990. [7] V. A. Voevodski˘ı and M. M. Kapranov. 1-groupoids as a model for a homotopy category. Uspekhi Mat. Nauk, 45(5(275)):183{184, 1990. [8] V. A. Voevodski˘ıand M. M. Kapranov. Multidimensional categories (in Russian). In Proc. Conf. of Young Scientists. Moscow Univ. Press, 1990. [9] V. A. Voevodski˘ıand G. B. Shabat. Piece-wise euclidean approximation of Jacobians of algebraic curves. CSTARCI Math. Preprints, (01-90), 1990. [10] M. M. Kapranov and V. A. Voevodsky. Combinatorial-geometric aspects of polycategory theory: pasting schemes and higher Bruhat orders (list of results). Cahiers Topologie G´eom.Diff´erentielle Cat´eg., 32(1):11{27, 1991. -
National Academy of Sciences July 1, 1979 Officers
NATIONAL ACADEMY OF SCIENCES JULY 1, 1979 OFFICERS Term expires President-PHILIP HANDLER June 30, 1981 Vice-President-SAUNDERS MAC LANE June 30, 1981 Home Secretary-BRYCE CRAWFORD,JR. June 30, 1983 Foreign Secretary-THOMAS F. MALONE June 30, 1982 Treasurer-E. R. PIORE June 30, 1980 Executive Officer Comptroller Robert M. White David Williams COUNCIL Abelson, Philip H. (1981) Markert,C. L. (1980) Berg, Paul (1982) Nierenberg,William A. (1982) Berliner, Robert W. (1981) Piore, E. R. (1980) Bing, R. H. (1980) Ranney, H. M. (1980) Crawford,Bryce, Jr. (1983) Simon, Herbert A. (1981) Friedman, Herbert (1982) Solow, R. M. (1980) Handler, Philip (1981) Thomas, Lewis (1982) Mac Lane, Saunders (1981) Townes, Charles H. (1981) Malone, Thomas F. (1982) Downloaded by guest on September 30, 2021 SECTIONS The Academyis divided into the followingSections, to which membersare assigned at their own choice: (11) Mathematics (31) Engineering (12) Astronomy (32) Applied Biology (13) Physics (33) Applied Physical and (14) Chemistry Mathematical Sciences (15) Geology (41) Medical Genetics Hema- (16) Geophysics tology, and Oncology (21) Biochemistry (42) Medical Physiology, En- (22) Cellularand Develop- docrinology,and Me- mental Biology tabolism (23) Physiological and Phar- (43) Medical Microbiology macologicalSciences and Immunology (24) Neurobiology (51) Anthropology (25) Botany (52) Psychology (26) Genetics (53) Social and Political Sci- (27) Population Biology, Evo- ences lution, and Ecology (54) Economic Sciences In the alphabetical list of members,the numbersin parentheses, followingyear of election, indicate the respective Class and Section of the member. CLASSES The members of Sections are grouped in the following Classes: I. Physical and Mathematical Sciences (Sections 11, 12, 13, 14, 15, 16). -
AFFINE HECKE ALGEBRAS and THEIR GRADED VERSION 0.1. Let
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY Volume 2, Number 3, July 1989 AFFINE HECKE ALGEBRAS AND THEIR GRADED VERSION GEORGE LUSZTIG Dedicated to Sir Michael Atiyah on his sixtieth birthday INTRODUCTION 0.1. Let Hvo be an affine Hecke algebra with parameter Vo E C* assumed to be of infinite order. (The basis elements ~ E Hvo corresponding to simple reflections s satisfy (~+ 1)(Ts - v~C(s») = 0, where c(s) EN depend on s and are subject only to c(s) = c(s') whenever s, Sf are conjugate in the affine Weyl group.) Such Hecke algebras appear naturally in the representation theory of semisimple p-adic groups, and understanding their representation theory is a question of considerable interest. Consider the "special case" where c(s) is independent of s and the coroots generate a direct summand. In this "special case," the question above has been studied in [I] and a classification of the simple modules was obtained. The approach of [1] was based on equivariant K-theory. This approach can be attempted in the general case (some indications are given in [5, 0.3]), but there appear to be some serious difficulties in carrying it out. 0.2. On the other hand, in [5] we introduced some algebras H,o' depending on a parameter roE C , which are graded analogues of Hvo . The graded algebras H '0 are in many respects simpler than Hvo' and in [5] the representation theory of H,o is studied using equivariant homology. Moreover, we can make the machinery of intersection cohomology work for us in the study of H '0 ' while in the K-theory context of Hvo it is not clear how to do this. -
Algebraic K-Theory (University of Washington, Seattle, 1997) 66 Robert S
http://dx.doi.org/10.1090/pspum/067 Selected Titles in This Series 67 Wayne Raskind and Charles Weibel, Editors, Algebraic K-theory (University of Washington, Seattle, 1997) 66 Robert S. Doran, Ze-Li Dou, and George T. Gilbert, Editors, Automorphic forms, automorphic representations, and arithmetic (Texas Christian University, Fort Worth, 1996) 65 M. Giaquinta, J. Shatah, and S. R. S. Varadhan, Editors, Differential equations: La Pietra 1996 (Villa La Pietra, Florence, Italy, 1996) 64 G. Ferreyra, R. Gardner, H. Hermes, and H. Sussmann, Editors, Differential geometry and control (University of Colorado, Boulder, 1997) 63 Alejandro Adem, Jon Carlson, Stewart Priddy, and Peter Webb, Editors, Group representations: Cohomology, group actions and topology (University of Washington, Seattle, 1996) 62 Janos Kollar, Robert Lazarsfeld, and David R. Morrison, Editors, Algebraic geometry—Santa Cruz 1995 (University of California, Santa Cruz, July 1995) 61 T. N. Bailey and A. W. Knapp, Editors, Representation theory and automorphic forms (International Centre for Mathematical Sciences, Edinburgh, Scotland, March 1996) 60 David Jerison, I. M. Singer, and Daniel W. Stroock, Editors, The legacy of Norbert Wiener: A centennial symposium (Massachusetts Institute of Technology, Cambridge, October 1994) 59 William Arveson, Thomas Branson, and Irving Segal, Editors, Quantization, nonlinear partial differential equations, and operator algebra (Massachusetts Institute of Technology, Cambridge, June 1994) 58 Bill Jacob and Alex Rosenberg, Editors, K-theory and algebraic geometry: Connections with quadratic forms and division algebras (University of California, Santa Barbara, July 1992) 57 Michael C. Cranston and Mark A. Pinsky, Editors, Stochastic analysis (Cornell University, Ithaca, July 1993) 56 William J. Haboush and Brian J. -
~Umbers the BOO K O F Umbers
TH E BOOK OF ~umbers THE BOO K o F umbers John H. Conway • Richard K. Guy c COPERNICUS AN IMPRINT OF SPRINGER-VERLAG © 1996 Springer-Verlag New York, Inc. Softcover reprint of the hardcover 1st edition 1996 All rights reserved. No part of this publication may be reproduced, stored in a re trieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior written permission of the publisher. Published in the United States by Copernicus, an imprint of Springer-Verlag New York, Inc. Copernicus Springer-Verlag New York, Inc. 175 Fifth Avenue New York, NY lOOlO Library of Congress Cataloging in Publication Data Conway, John Horton. The book of numbers / John Horton Conway, Richard K. Guy. p. cm. Includes bibliographical references and index. ISBN-13: 978-1-4612-8488-8 e-ISBN-13: 978-1-4612-4072-3 DOl: 10.l007/978-1-4612-4072-3 1. Number theory-Popular works. I. Guy, Richard K. II. Title. QA241.C6897 1995 512'.7-dc20 95-32588 Manufactured in the United States of America. Printed on acid-free paper. 9 8 765 4 Preface he Book ofNumbers seems an obvious choice for our title, since T its undoubted success can be followed by Deuteronomy,Joshua, and so on; indeed the only risk is that there may be a demand for the earlier books in the series. More seriously, our aim is to bring to the inquisitive reader without particular mathematical background an ex planation of the multitudinous ways in which the word "number" is used. -
Mitigating Javascript's Overhead with Webassembly
Samuli Ylenius Mitigating JavaScript’s overhead with WebAssembly Faculty of Information Technology and Communication Sciences M. Sc. thesis March 2020 ABSTRACT Samuli Ylenius: Mitigating JavaScript’s overhead with WebAssembly M. Sc. thesis Tampere University Master’s Degree Programme in Software Development March 2020 The web and web development have evolved considerably during its short history. As a result, complex applications aren’t limited to desktop applications anymore, but many of them have found themselves in the web. While JavaScript can meet the requirements of most web applications, its performance has been deemed to be inconsistent in applications that require top performance. There have been multiple attempts to bring native speed to the web, and the most recent promising one has been the open standard, WebAssembly. In this thesis, the target was to examine WebAssembly, its design, features, background, relationship with JavaScript, and evaluate the current status of Web- Assembly, and its future. Furthermore, to evaluate the overhead differences between JavaScript and WebAssembly, a Game of Life sample application was implemented in three splits, fully in JavaScript, mix of JavaScript and WebAssembly, and fully in WebAssembly. This allowed to not only compare the performance differences between JavaScript and WebAssembly but also evaluate the performance differences between different implementation splits. Based on the results, WebAssembly came ahead of JavaScript especially in terms of pure execution times, although, similar benefits were gained from asm.js, a predecessor to WebAssembly. However, WebAssembly outperformed asm.js in size and load times. In addition, there was minimal additional benefit from doing a WebAssembly-only implementation, as just porting bottleneck functions from JavaScript to WebAssembly had similar performance benefits. -
Motivic Chern Classes and Iwahori Invariants of Principal Series
MOTIVIC CHERN CLASSES AND IWAHORI INVARIANTS OF PRINCIPAL SERIES CHANGJIAN SU Abstract. In this expository note, we review the proof [AMSS19] of conjectures of Bump, Nakasuji and Naruse about principal series representations of p-adic groups. The ingre- dients of the proof involve Maulik{Okounkov K-theoretic stable basis for the Springer resolution, and motivic Chern classes of Schubert cells for the Langlands dual group Contents 1. Introduction 1 Notations 3 2. p-adic side 3 2.1. Iwahori invariants of the principal series representations 3 2.2. Two bases in the Iwahori invariants of the principal series representations 4 2.3. Conjectures of Bump, Nakasuji and Naruse 5 3. Complex dual side 7 3.1. Definition of Motivic Chern classes 7 3.2. Two bases in the localized equivariant K theory of the flag variety 8 3.3. Hecke algebra action 8 3.4. Smoothness criterion 10 4. The proof 10 References 11 1. Introduction The Iwahori{Hecke algebra of a p-adic reductive group is the convolution algebra on the compactly supported functions on the rational points of the group, which are let and right invariant under the Iwahori subgroup. It contains the finite Hecke algebra and the group algebra of the character lattice of the complex dual maximal torus, which is called the lattice part of the Iwahori{Hecke algebra. The Iwahori invariant subspace of any unramfied principal series representation is a module over the Iwahori{Hecke algebra via convolution. In the invariant subspace, there is a natural basis induced from the cell decomposition of the group. -
Report for the Academic Year 1999
l'gEgasag^a3;•*a^oggMaBgaBK>ry^vg^.g^._--r^J3^JBgig^^gqt«a»J^:^^^^^ Institute /or ADVANCED STUDY REPORT FOR THE ACADEMIC YEAR 1998-99 PRINCETON • NEW JERSEY HISTORICAL STUDIES^SOCIAl SC^JCE LIBRARY INSTITUTE FOR ADVANCED STUDY PRINCETON, NEW JERSEY 08540 Institute /or ADVANCED STUDY REPORT FOR THE ACADEMIC YEAR 1 998 - 99 OLDEN LANE PRINCETON • NEW JERSEY • 08540-0631 609-734-8000 609-924-8399 (Fax) http://www.ias.edu Extract from the letter addressed by the Institute's Founders, Louis Bamberger and Mrs. FeUx Fuld, to the Board of Trustees, dated June 4, 1930. Newark, New Jersey. It is fundamental m our purpose, and our express desire, that in the appointments to the staff and faculty, as well as in the admission of workers and students, no account shall be taken, directly or indirectly, of race, religion, or sex. We feel strongly that the spirit characteristic of America at its noblest, above all the pursuit of higher learning, cannot admit of any conditions as to personnel other than those designed to promote the objects for which this institution is established, and particularly with no regard whatever to accidents of race, creed, or sex. ni' TABLE OF CONTENTS 4 • BACKGROUND AND PURPOSE 7 • FOUNDERS, TRUSTEES AND OFFICERS OF THE BOARD AND OF THE CORPORATION 10 • ADMINISTRATION 12 • PRESENT AND PAST DIRECTORS AND FACULTY 15 REPORT OF THE CHAIRMAN 18 • REPORT OF THE DIRECTOR 22 • OFFICE OF THE DIRECTOR - RECORD OF EVENTS 27 ACKNOWLEDGMENTS 41 • REPORT OF THE SCHOOL OF HISTORICAL STUDIES FACULTY ACADEMIC ACTIVITIES MEMBERS, VISITORS, -
Quillen's Work in Algebraic K-Theory
J. K-Theory 11 (2013), 527–547 ©2013 ISOPP doi:10.1017/is012011011jkt203 Quillen’s work in algebraic K-theory by DANIEL R. GRAYSON Abstract We survey the genesis and development of higher algebraic K-theory by Daniel Quillen. Key Words: higher algebraic K-theory, Quillen. Mathematics Subject Classification 2010: 19D99. Introduction This paper1 is dedicated to the memory of Daniel Quillen. In it, we examine his brilliant discovery of higher algebraic K-theory, including its roots in and genesis from topological K-theory and ideas connected with the proof of the Adams conjecture, and his development of the field into a complete theory in just a few short years. We provide a few references to further developments, including motivic cohomology. Quillen’s main work on algebraic K-theory appears in the following papers: [65, 59, 62, 60, 61, 63, 55, 57, 64]. There are also the papers [34, 36], which are presentations of Quillen’s results based on hand-written notes of his and on communications with him, with perhaps one simplification and several inaccuracies added by the author. Further details of the plus-construction, presented briefly in [57], appear in [7, pp. 84–88] and in [77]. Quillen’s work on Adams operations in higher algebraic K-theory is exposed by Hiller in [45, sections 1-5]. Useful surveys of K-theory and related topics include [81, 46, 38, 39, 67] and any chapter in Handbook of K-theory [27]. I thank Dale Husemoller, Friedhelm Waldhausen, Chuck Weibel, and Lars Hesselholt for useful background information and advice. 1. -
Iasinstitute for Advanced Study
G13-15849_FacultyMembersCOV-12_Layout 1 10/28/13 12:26 PM Page 1 IASInstitute for Advanced Study INSTITUTE FOR ADVANCED STUDY EINSTEIN DRIVE PRINCETON, NEW JERSEY 08540 (609) 734-8000 www.ias.edu Faculty and Members 2013–2014 G13-15849_FacultyMembersCOV-12_Layout 1 10/28/13 12:26 PM Page 2 It is fundamental in our purpose, and our express desire, that in the appointments to the staff and faculty as well as in the admission of workers and students, no account shall be taken, directly or indirectly, of race, religion, or sex. We feel strongly that the spirit characteristic of America at its noblest, above all the pursuit of higher learning, cannot admit of any conditions as to personnel other than those designed to promote the objects for which this institution is established, and particularly with no regard whatever to accidents of race, creed, or sex. —Louis Bamberger and Caroline Bamberger Fuld, in a letter dated June 4, 1930, to the Institute’s first Board of Trustees Cover: Kazuya Yonekura (kneeling), Member in the School of Natural Sciences, with Yuji Tachikawa (Member, 2006–11) Photo: Andrea Kane Contents Mission and History . 2 School of Historical Studies . 4 School of Mathematics . 21 School of Natural Sciences . 41 School of Social Science . 58 Program in Interdisciplinary Studies . 68 Director’s Visitors . 70 Artist-in-Residence Program . 71 Trustees and Officers of the Board and of the Corporation . 72 Administration . 74 Past Directors and Faculty . 76 Index . 77 Information contained herein is current as of September 23, 2013. Mission and History The Institute for Advanced Study is one of the world’s leading centers for theoretical research and intellectual inquiry.