December 2017 Table of Contents
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Contra Los Actos De Inscripción En El Registro Mercantil Que Aparecen Relacionados En El Presente Boletín Proceden Los Recursos De Reposición Y De Apelación
Para los efectos señalados en el artículo 47 del Código Contencioso Administrativo, se informa que: Contra los actos de inscripción en el registro mercantil que aparecen relacionados en el presente boletín proceden los recursos de reposición y de apelación. Contra el acto que niega la apelación procede el recurso de queja. El recurso de reposición deberá interponerse ante la misma Cámara de Comercio de Bogotá, para que ella confirme, aclare o revoque el respectivo acto de inscripción. El recurso de apelación deberá interponerse ante la misma Cámara de Comercio de Bogotá, para que la Superintendencia de Industria y Comercio confirme, aclare o revoque el acto de inscripción expedido por la primera entidad. El recurso de queja deberá interponerse ante la Superintendencia de Industria y Comercio, para que ella determine si es procedente o no el recurso de apelación que haya sido negado por la Cámara de Comercio de Bogotá. Los recursos de reposición y apelación deberán interponerse por escrito dentro de los cinco días hábiles siguientes a esta publicación. El recurso de queja deberá ser interpuesto por escrito dentro de los cinco días siguientes a la notificación del acto por medio del cual se resolvió negar el de apelación. Al escrito contentivo del recurso de queja deberá anexarse copia de la providencia negativa de la apelación. Los recursos deberán interponerse dentro del término legal, expresar las razones de la inconformidad, expresar el nombre y la dirección del recurrente y relacionar cuando sea del caso las pruebas que pretendan hacerse valer. Adicionalmente, los recursos deberán presentarse personalmente por el interesado o por su representante o apoderado debidamente constituido. -
2006 Annual Report
Contents Clay Mathematics Institute 2006 James A. Carlson Letter from the President 2 Recognizing Achievement Fields Medal Winner Terence Tao 3 Persi Diaconis Mathematics & Magic Tricks 4 Annual Meeting Clay Lectures at Cambridge University 6 Researchers, Workshops & Conferences Summary of 2006 Research Activities 8 Profile Interview with Research Fellow Ben Green 10 Davar Khoshnevisan Normal Numbers are Normal 15 Feature Article CMI—Göttingen Library Project: 16 Eugene Chislenko The Felix Klein Protocols Digitized The Klein Protokolle 18 Summer School Arithmetic Geometry at the Mathematisches Institut, Göttingen, Germany 22 Program Overview The Ross Program at Ohio State University 24 PROMYS at Boston University Institute News Awards & Honors 26 Deadlines Nominations, Proposals and Applications 32 Publications Selected Articles by Research Fellows 33 Books & Videos Activities 2007 Institute Calendar 36 2006 Another major change this year concerns the editorial board for the Clay Mathematics Institute Monograph Series, published jointly with the American Mathematical Society. Simon Donaldson and Andrew Wiles will serve as editors-in-chief, while I will serve as managing editor. Associate editors are Brian Conrad, Ingrid Daubechies, Charles Fefferman, János Kollár, Andrei Okounkov, David Morrison, Cliff Taubes, Peter Ozsváth, and Karen Smith. The Monograph Series publishes Letter from the president selected expositions of recent developments, both in emerging areas and in older subjects transformed by new insights or unifying ideas. The next volume in the series will be Ricci Flow and the Poincaré Conjecture, by John Morgan and Gang Tian. Their book will appear in the summer of 2007. In related publishing news, the Institute has had the complete record of the Göttingen seminars of Felix Klein, 1872–1912, digitized and made available on James Carlson. -
Ravi's Speech at the Banquet
Speech at the Conference on Conformal Geometry and Riemann Surfaces October 27, 2013 Ravi S. Kulkarni October 29, 2013 1 Greetings I am very happy today. I did not know that so many people loved me enough to gather at Queens College to wish me a healthy, long, and productive life over and above the 71 years I have already lived. It includes my teacher Shlomo Sternberg, present here on skype, and my \almost"-teachers Hyman Bass, and Cliff Earle. Alex Lubotzky came from Israel, Ulrich Pinkall from Germany, and Shiga from Japan. If I have counted correctly there are 14 people among the speakers who are above 65, and 5 below 65, of which only 3 in their 30s to 50s. There are many more in the audience who are in their 50s and below. I interpret this as: we old people have done something right. And of course that something right, is that we have done mathematics. The conference of this type is new for the Math department at Queens College, although it had many distinguished mathematicians like Arthur Sard, Leo Zippin, Banesh Hoffman, Edwin Moise, ... before, on its faculty. I find this Conference especially gratifying since I already went back to In- dia in 2001, enjoyed several leaves without pay, and finally retired from Queens College, in Feb 2008. However I keep coming back to Queens college and Grad- uate Center twice a year and enjoy my emeritus positions with all the office and library/computer advantages. For a long time, I felt that people here thought that I was an Indian in America. -
CMI Summer Schools
CMI Summer Schools 2007 Homogeneous flows, moduli spaces, and arithmetic De Giorgi Center, Pisa 2006 Arithmetic Geometry The Clay Mathematics Institute has Mathematisches Institut, conducted a program of research summer schools Georg-August-Universität, Göttingen since 2000. Designed for graduate students and PhDs within five years of their degree, the aim of 2005 Ricci Flow, 3-manifolds, and Geometry the summer schools is to furnish a new generation MSRI, Berkeley of mathematicians with the knowledge and tools needed to work successfully in an active research CMI summer schools 2004 area. Three introductory courses, each three weeks Floer Homology, Gauge Theory, and in duration, make up the core of a typical summer Low-dimensional Topology school. These are followed by one week of more Rényi Institute, Budapest advanced minicourses and individual talks. Size is limited to roughly 100 participants in order to 2003 Harmonic Analysis, Trace Formula, promote interaction and contact. Venues change and Shimura Varieties from year to year, and have ranged from Cambridge, Fields Institute, Toronto Massachusetts to Pisa, Italy. The lectures from each school are published in the CMI–AMS proceedings 2002 Geometry and String Theory series, usually within two years’ time. Newton Institute, Cambridge UK Summer Schools 2001 www.claymath.org/programs/summer_school Minimal surfaces MSRI, Berkeley Summer School Proceedings www.claymath.org/publications 2000 Mirror Symmetry Pine Manor College, Boston 2006 Arithmetic Geometry Summer School in Göttingen techniques are drawn from the theory of elliptic The 2006 summer school program will introduce curves, including modular curves and their para- participants to modern techniques and outstanding metrizations, Heegner points, and heights. -
Meetings & Conferences of the AMS, Volume 48, Number 11
mtgs.qxp 10/30/01 1:55 PM Page 1415 Meetings & Conferences of the AMS IMPORTANT INFORMATION REGARDING MEETINGS PROGRAMS: AMS Sectional Meeting programs do not appear in the print version of the Notices. However, comprehensive and continually updated meeting and program information with links to the abstract for each talk can be found on the AMS website. See http://www.ams.org/meetings/. Programs and abstracts will continue to be displayed on the AMS website in the Meetings and Conferences section until about three weeks after the meeting is over. Final programs for Sectional Meetings will be archived on the AMS website in an electronic issue of the Notices as noted below for each meeting. Groups and Covering Spaces in Algebraic Geometry, Michael Irvine, California Fried, University of California Irvine, and Helmut Voelklein, University of California Irvine University of Florida. Harmonic Analyses and Partial Differential Equations, November 10–11, 2001 Gustavo Ponce, University of California Santa Barbara, and Gigliola Staffilani, Brown University and Stanford Meeting #972 University. Western Section Harmonic Analysis and Complex Analysis, Xiaojun Huang, Associate secretary: Bernard Russo Rutgers University, and Song-Ying Li, University of Cali- Announcement issue of Notices: September 2001 fornia Irvine. Program first available on AMS website: September 27, Operator Spaces, Operator Algebras, and Applications, 2001 Marius Junge, University of Illinois, Urbana-Champaign, Program issue of electronic Notices: December 2001 and Timur Oikhberg, University of Texas and University Issue of Abstracts: Volume 22, Issue 4 of California Irvine. Deadlines Partial Differential Equations and Applications, Edriss S. Titi, For organizers: Expired University of California Irvine. -
German Jews in the United States: a Guide to Archival Collections
GERMAN HISTORICAL INSTITUTE,WASHINGTON,DC REFERENCE GUIDE 24 GERMAN JEWS IN THE UNITED STATES: AGUIDE TO ARCHIVAL COLLECTIONS Contents INTRODUCTION &ACKNOWLEDGMENTS 1 ABOUT THE EDITOR 6 ARCHIVAL COLLECTIONS (arranged alphabetically by state and then city) ALABAMA Montgomery 1. Alabama Department of Archives and History ................................ 7 ARIZONA Phoenix 2. Arizona Jewish Historical Society ........................................................ 8 ARKANSAS Little Rock 3. Arkansas History Commission and State Archives .......................... 9 CALIFORNIA Berkeley 4. University of California, Berkeley: Bancroft Library, Archives .................................................................................................. 10 5. Judah L. Mages Museum: Western Jewish History Center ........... 14 Beverly Hills 6. Acad. of Motion Picture Arts and Sciences: Margaret Herrick Library, Special Coll. ............................................................................ 16 Davis 7. University of California at Davis: Shields Library, Special Collections and Archives ..................................................................... 16 Long Beach 8. California State Library, Long Beach: Special Collections ............. 17 Los Angeles 9. John F. Kennedy Memorial Library: Special Collections ...............18 10. UCLA Film and Television Archive .................................................. 18 11. USC: Doheny Memorial Library, Lion Feuchtwanger Archive ................................................................................................... -
Kähler-Einstein Metrics on Fano Manifolds. I
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY Volume 28, Number 1, January 2015, Pages 183–197 S 0894-0347(2014)00799-2 Article electronically published on March 28, 2014 KAHLER-EINSTEIN¨ METRICS ON FANO MANIFOLDS. I: APPROXIMATION OF METRICS WITH CONE SINGULARITIES XIUXIONG CHEN, SIMON DONALDSON, AND SONG SUN 1. Introduction This is the first of a series of three articles which provide proofs of results an- nounced in [9]. Let X be a Fano manifold of complex dimension n.Letλ>0bean integer and D be a smooth divisor in the linear system |−λKX |.Forβ ∈ (0, 1) there is now a well-established notion of a K¨ahler-Einstein metric with a cone singularity of cone angle 2πβ along D. (It is often called an “edge-cone” singularity). For brevity, we will just say that ω has cone angle 2πβ along D. The Ricci curvature of such a metric ω is (1−λ(1−β))ω. Our primary concern is the case of positive Ricci −1 curvature, so we suppose throughout most of the article that β ≥ β0 > 1 − λ . However our arguments also apply to the case of non-positive Ricci curvature: see Remark 3.10. Theorem 1.1. If ω is a K¨ahler-Einstein metric with cone angle 2πβ along D with β ≥ β0,then(X, ω) is the Gromov-Hausdorff limit of a sequence of smooth K¨ahler metrics with positive Ricci curvature and with diameter bounded by a fixed number depending only on β0,λ. This suffices for most of our applications but we also prove a sharper statement. -
Soliton Model
On long time dynamic and singularity formation of NLS MASSACHTS ITTUTE by OF TECHNOLOGY Chenjie Fan AUG 0 12017 B.S., Peking University (2012) LIBRARIES Submitted to the Department of Mathematics ARCHIVES in partial fulfillment of the requirements for the degree of Doctor of Philosophy at the MASSACHUSETTS INSTITUTE OF TECHNOLOGY June 2017 @ Massachusetts Institute of Technology 2017. All rights reserved. Signature redacted Author ............................................ Department of Mathematics May 3rd, 2017 Certified by. Signature redacted ... Gigliola Staffilani LAbby Rockefeller Mauze Professor Thesis Supervisor Accepted by... Signature redacted .................. William Minicozzi Chairman, Department Committee on Graduate Theses 2 On long time dynamic and singularity formation of NLS by Chenjie Fan Submitted to the Department of Mathematics on May 3rd, 2017, in partial fulfillment of the requirements for the degree of Doctor of Philosophy Abstract In this thesis, we investigate the long time behavior of focusing mass critical nonlinear Schr6dinger equation (NLS). We will focus on the singularity formation and long time asymptotics. To be specific, there are two parts in the thesis. In the first part, we give a construction of log-log blow up solutions which blow up at m prescribed points simultaneously. In the second part, we show weak convergence to ground state for certain radial blow up solutions to NLS at well chosen time sequence. We also include a lecture note on concentration compactness. Concentration compactness is one of the main tool we use in the second part of the thesis. Thesis Supervisor: Gigliola Staffilani Title: Abby Rockefeller Mauze Professor 3 I Acknowledgments I am very fortunate to work with my advisor, Gigliola Staffilani. -
Algebra + Homotopy = Operad
Symplectic, Poisson and Noncommutative Geometry MSRI Publications Volume 62, 2014 Algebra + homotopy = operad BRUNO VALLETTE “If I could only understand the beautiful consequences following from the concise proposition d 2 0.” —Henri Cartan D This survey provides an elementary introduction to operads and to their ap- plications in homotopical algebra. The aim is to explain how the notion of an operad was prompted by the necessity to have an algebraic object which encodes higher homotopies. We try to show how universal this theory is by giving many applications in algebra, geometry, topology, and mathematical physics. (This text is accessible to any student knowing what tensor products, chain complexes, and categories are.) Introduction 229 1. When algebra meets homotopy 230 2. Operads 239 3. Operadic syzygies 253 4. Homotopy transfer theorem 272 Conclusion 283 Acknowledgements 284 References 284 Introduction Galois explained to us that operations acting on the solutions of algebraic equa- tions are mathematical objects as well. The notion of an operad was created in order to have a well defined mathematical object which encodes “operations”. Its name is a portemanteau word, coming from the contraction of the words “operations” and “monad”, because an operad can be defined as a monad encoding operations. The introduction of this notion was prompted in the 60’s, by the necessity of working with higher operations made up of higher homotopies appearing in algebraic topology. Algebra is the study of algebraic structures with respect to isomorphisms. Given two isomorphic vector spaces and one algebra structure on one of them, 229 230 BRUNO VALLETTE one can always define, by means of transfer, an algebra structure on the other space such that these two algebra structures become isomorphic. -
Rendering Rhythm and Motion in the Art of Black Mountain College
A Lasting Imprint Rendering Rhythm and Motion in the Art of Black Mountain College Movement and music—both time-based activities—can be difficult to express in static media such as painting, drawing, and photography, yet many visual artists feel called to explore them. Some are driven to devise new techniques or new combinations of media in order to capture or suggest movement. Similarly, some visual artists utilize elements found in music—rhythms, patterns, repetitions, and variations—to endow their compositions with new expressive potency. In few places did movement, music, visual arts, and myriad other disciplines intermingle with such profound effect as they did at Black Mountain College (BMC), an experiment in higher education in the mountains of Western North Carolina that existed from 1933 to 1957. For many artists, their introduction to interdisciplinarity at the college resulted in a continued curiosity around those ideas throughout their careers. The works in the exhibition, selected from the Asheville Art Museum’s Black Mountain College Collection, highlight approaches to rendering a lasting imprint of the ephemeral. Artists such as Barbara Morgan and Clemens Kalischer seek to capture the motion of the human form, evoking a sense of elongated or contracted muscles, or of limbs moving through space. Others, like Lorna Blaine Halper or Sewell Sillman, approach the challenge through abstraction, foregoing representation yet communicating an atmosphere of dynamic change. Marianne Preger-Simon’s drawings of her fellow dancers at BMC from summer 1953 are not only portraits but also a dance of pencil on paper, created in the spirit of BMC professor Josef Albers’s line studies as she simultaneously worked with choreographer Merce Cunningham. -
Black Mountain Research
Black Mountain Research ein Buchprojekt von Annette Jael Lehmann unter Mitarbeit von Verena Kittel und Anna-Lena Werner / a book project by Annette Jael Lehmann with the assistance of Verena Kittel and Anna-Lena Werner introduction Annette Jael Lehmann and Anna-Lena Werner The practice-based research project Black they unite theoretical and curatorial endeavors tions outside North America. At the threshold of eventually successful and became a worldwide Mountain Research was a collaborative project into – well…what exactly? In other words: How art and pedagogy, liberal and pioneering in their architectural model only a few decades later. by Freie Universität Berlin and Hamburger could students, scholars, curators and artists curriculum, the educational institution revolu- Trial and error or even failure became at times Bahnhof – Museum für Gegenwart – Berlin cooperate within one project? As a small team tionized models of academic teaching and lear- liberating forces at the college, opposing a pre- (2013-2015) that was developed along the muse- based at the Institute for Theater Studies at ning and fostered crucial strategies to contribute determined path towards knowledge, actions um exhibition ‘Black Mountain. An Interdiscip- Freie Universität Berlin – namely Verena Kittel, to a development that could now be described or results. The necessity of making mistakes, as linary Experiment 1933 – 1957’ (from 05.06. to Annette Jael Lehmann, and Anna-Lena Werner as practice-based research. Having an extensive Buckminster Fuller has prominently -
A Decade of Lattice Cryptography
Full text available at: http://dx.doi.org/10.1561/0400000074 A Decade of Lattice Cryptography Chris Peikert Computer Science and Engineering University of Michigan, United States Boston — Delft Full text available at: http://dx.doi.org/10.1561/0400000074 Foundations and Trends R in Theoretical Computer Science Published, sold and distributed by: now Publishers Inc. PO Box 1024 Hanover, MA 02339 United States Tel. +1-781-985-4510 www.nowpublishers.com [email protected] Outside North America: now Publishers Inc. PO Box 179 2600 AD Delft The Netherlands Tel. +31-6-51115274 The preferred citation for this publication is C. Peikert. A Decade of Lattice Cryptography. Foundations and Trends R in Theoretical Computer Science, vol. 10, no. 4, pp. 283–424, 2014. R This Foundations and Trends issue was typeset in LATEX using a class file designed by Neal Parikh. Printed on acid-free paper. ISBN: 978-1-68083-113-9 c 2016 C. Peikert All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, mechanical, photocopying, recording or otherwise, without prior written permission of the publishers. Photocopying. In the USA: This journal is registered at the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923. Authorization to photocopy items for in- ternal or personal use, or the internal or personal use of specific clients, is granted by now Publishers Inc for users registered with the Copyright Clearance Center (CCC). The ‘services’ for users can be found on the internet at: www.copyright.com For those organizations that have been granted a photocopy license, a separate system of payment has been arranged.