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Arxiv:1006.1489V2 [Math.GT] 8 Aug 2010 Ril.Ias Rfie Rmraigtesre Rils[14 Articles Survey the Reading from Profited Also I Article
Pure and Applied Mathematics Quarterly Volume 8, Number 1 (Special Issue: In honor of F. Thomas Farrell and Lowell E. Jones, Part 1 of 2 ) 1—14, 2012 The Work of Tom Farrell and Lowell Jones in Topology and Geometry James F. Davis∗ Tom Farrell and Lowell Jones caused a paradigm shift in high-dimensional topology, away from the view that high-dimensional topology was, at its core, an algebraic subject, to the current view that geometry, dynamics, and analysis, as well as algebra, are key for classifying manifolds whose fundamental group is infinite. Their collaboration produced about fifty papers over a twenty-five year period. In this tribute for the special issue of Pure and Applied Mathematics Quarterly in their honor, I will survey some of the impact of their joint work and mention briefly their individual contributions – they have written about one hundred non-joint papers. 1 Setting the stage arXiv:1006.1489v2 [math.GT] 8 Aug 2010 In order to indicate the Farrell–Jones shift, it is necessary to describe the situation before the onset of their collaboration. This is intimidating – during the period of twenty-five years starting in the early fifties, manifold theory was perhaps the most active and dynamic area of mathematics. Any narrative will have omissions and be non-linear. Manifold theory deals with the classification of ∗I thank Shmuel Weinberger and Tom Farrell for their helpful comments on a draft of this article. I also profited from reading the survey articles [14] and [4]. 2 James F. Davis manifolds. There is an existence question – when is there a closed manifold within a particular homotopy type, and a uniqueness question, what is the classification of manifolds within a homotopy type? The fifties were the foundational decade of manifold theory. -
Neuregulin Induces the Expression of Transcription Factors and Myosin Heavy Chains Typical of Muscle Spindles in Cultured Human Muscle
Neuregulin induces the expression of transcription factors and myosin heavy chains typical of muscle spindles in cultured human muscle Christian Jacobson*, David Duggan†, and Gerald Fischbach‡§ *Microarray Unit, Genetics and Genomics Section, National Institute of Arthritis and Musculoskeletal and Skin Diseases, National Institutes of Health, Bethesda, MD 20892; †Translational Genomics Research Institute (TGen), Phoenix, AZ 85004; and ‡Department of Pharmacology, Columbia University College of Physicians and Surgeons, New York, NY 10032 Contributed by Gerald Fischbach, June 29, 2004 Neuregulin (NRG) (also known as ARIA, GGF, and other names) is (DRG) (28), proprioceptive sensory neurons in particular, ex- a heparin sulfate proteoglycan secreted into the neuromuscular press NRG early in development (14, 29, 30). While these junction by innervating motor and sensory neurons. An integral experiments were ongoing, reports appeared implicating NRG in part of synapse formation, we have analyzed NRG-induced the development of muscle spindles. Hippenmeyer et al. (14) changes in gene expression over 48 h in primary human myotubes. showed that NRG induces the expression of early growth We show that in addition to increasing the expression of acetyl- response 3 (Egr3), a transcription factor that is critical to the choline receptors on the myotube surface, NRG treatment results differentiation of muscle spindle fibers (31). Evidence for NRG’s in a transient increase of several members of the early growth role in spindle formation is re-enforced by the phenotypic response (Egr) family of transcription factors. Three Egrs, Egr1, -2, similarities between conditional Erb2 knockout animals and and -3, are induced within the first hour of NRG treatment, with Egr3 null mice (13, 15, 24). -
Arxiv:2006.00374V4 [Math.GT] 28 May 2021
CONTROLLED MATHER-THURSTON THEOREMS MICHAEL FREEDMAN ABSTRACT. Classical results of Milnor, Wood, Mather, and Thurston produce flat connections in surprising places. The Milnor-Wood inequality is for circle bundles over surfaces, whereas the Mather-Thurston Theorem is about cobording general manifold bundles to ones admitting a flat connection. The surprise comes from the close encounter with obstructions from Chern-Weil theory and other smooth obstructions such as the Bott classes and the Godbillion-Vey invariant. Contradic- tion is avoided because the structure groups for the positive results are larger than required for the obstructions, e.g. PSL(2,R) versus U(1) in the former case and C1 versus C2 in the latter. This paper adds two types of control strengthening the positive results: In many cases we are able to (1) refine the Mather-Thurston cobordism to a semi-s-cobordism (ssc) and (2) provide detail about how, and to what extent, transition functions must wander from an initial, small, structure group into a larger one. The motivation is to lay mathematical foundations for a physical program. The philosophy is that living in the IR we cannot expect to know, for a given bundle, if it has curvature or is flat, because we can’t resolve the fine scale topology which may be present in the base, introduced by a ssc, nor minute symmetry violating distortions of the fiber. Small scale, UV, “distortions” of the base topology and structure group allow flat connections to simulate curvature at larger scales. The goal is to find a duality under which curvature terms, such as Maxwell’s F F and Hilbert’s R dvol ∧ ∗ are replaced by an action which measures such “distortions.” In this view, curvature resultsR from renormalizing a discrete, group theoretic, structure. -
Sir Andrew J. Wiles
ISSN 0002-9920 (print) ISSN 1088-9477 (online) of the American Mathematical Society March 2017 Volume 64, Number 3 Women's History Month Ad Honorem Sir Andrew J. Wiles page 197 2018 Leroy P. Steele Prize: Call for Nominations page 195 Interview with New AMS President Kenneth A. Ribet page 229 New York Meeting page 291 Sir Andrew J. Wiles, 2016 Abel Laureate. “The definition of a good mathematical problem is the mathematics it generates rather Notices than the problem itself.” of the American Mathematical Society March 2017 FEATURES 197 239229 26239 Ad Honorem Sir Andrew J. Interview with New The Graduate Student Wiles AMS President Kenneth Section Interview with Abel Laureate Sir A. Ribet Interview with Ryan Haskett Andrew J. Wiles by Martin Raussen and by Alexander Diaz-Lopez Allyn Jackson Christian Skau WHAT IS...an Elliptic Curve? Andrew Wiles's Marvelous Proof by by Harris B. Daniels and Álvaro Henri Darmon Lozano-Robledo The Mathematical Works of Andrew Wiles by Christopher Skinner In this issue we honor Sir Andrew J. Wiles, prover of Fermat's Last Theorem, recipient of the 2016 Abel Prize, and star of the NOVA video The Proof. We've got the official interview, reprinted from the newsletter of our friends in the European Mathematical Society; "Andrew Wiles's Marvelous Proof" by Henri Darmon; and a collection of articles on "The Mathematical Works of Andrew Wiles" assembled by guest editor Christopher Skinner. We welcome the new AMS president, Ken Ribet (another star of The Proof). Marcelo Viana, Director of IMPA in Rio, describes "Math in Brazil" on the eve of the upcoming IMO and ICM. -
Information and Announcements Mathematics Prizes Awarded At
Information and Announcements Mathematics Prizes Awarded at ICM 2014 The International Congress of Mathematicians (ICM) is held once in four years under the auspices of the International Mathematical Union (IMU). The ICM is the largest, and the most prestigious, meeting of the mathematics community. During the ICM, the Fields Medal, the Nevanlinna Prize, the Gauss Prize, the Chern Medal and the Leelavati Prize are awarded. The Fields Medals are awarded to mathematicians under the age of 40 to recognize existing outstanding mathematical work and for the promise of future achievement. A maximum of four Fields Medals are awarded during an ICM. The Nevanlinna Prize is awarded for outstanding contributions to mathematical aspects of information sciences; this awardee is also under the age of 40. The Gauss Prize is given for mathematical research which has made a big impact outside mathematics – in industry or technology, etc. The Chern Medal is awarded to a person whose mathematical accomplishments deserve the highest level of recognition from the mathematical community. The Leelavati Prize is sponsored by Infosys and is a recognition of an individual’s extraordinary achievements in popularizing among the public at large, mathematics, as an intellectual pursuit which plays a crucial role in everyday life. The 27th ICM was held in Seoul, South Korea during August 13–21, 2014. Fields Medals The following four mathematicians were awarded the Fields Medal in 2014. 1. Artur Avila, “for his profound contributions to dynamical systems theory, which have changed the face of the field, using the powerful idea of renormalization as a unifying principle”. Work of Artur Avila (born 29th June 1979): Artur Avila’s outstanding work on dynamical systems, and analysis has made him a leader in the field. -
Www .Ima.Umn.Edu
ce Berkeley National Laboratory) ce Berkeley Who should attend? Industrial engineers and scientists who want to learn about modern techniques in scientific computations Researchers from academic institutions involved in multidisciplinary collaborations Organizer Robert V. Kohn Tutorial Lectures: Weinan E Leslie F. Greengard courtesy and S.Graphics J-D. Yu Sakia (Epson Research Corporation), and J.A. Sethian (Dept. and Lawren UC Berkeley of Mathematics, James A. Sethian www.ima.umn.edu The primary goal of this workshop is to facilitate the use of the best computational techniques in important industrial applications. Key developers of three of the most significant recent or emerging paradigms of computation – fast multipole methods, level set methods, and multiscale computation – will provide tutorial introductions to these classes of methods. Presentations will be particularly geared to scientists using or interested in using these approaches in industry. In addition the workshop will include research reports, poster presentations, and problem posing by industrial researchers, and offer ample time for both formal and informal discussion, related to the use of these new methods of computation. The IMA is an NSF funded Institute Schedule Weinan E received his Ph.D. from the University of California at Los Angeles in 1989. He was visiting MONDAY, MARCH 28 member at the Courant Institute from 1989 to 1991. He joined the IAS in Princeton as a long term mem- All talks are in Lecture Hall EE/CS 3-180 ber in 1992 and went on to take a faculty 8:30 Coffee and Registration position at the Courant Institute at New York Reception Room EE/CS 3-176 University in 1994. -
Committee to Select the Winner of the Veblen Prize
Committee to Select the Winner of the Veblen Prize General Description · Committee is standing · Number of members is three · A new committee is appointed for each award Principal Activities The award is made every three years at the Annual (January) Meeting, in a cycle including the years 2001, 2004, and so forth. The award is made for a notable research work in geometry or topology that has appeared in the last six years. The work must be published in a recognized, peer-reviewed venue. The committee recommends a winner and communicates this recommendation to the Secretary for approval by the Executive Committee of the Council. Past winners are listed in the November issue of the Notices in odd-numbered years. About this Prize This prize was established in 1961 in memory of Professor Oswald Veblen through a fund contributed by former students and colleagues. The fund was later doubled by a gift from Elizabeth Veblen, widow of Professor Veblen. In honor of her late father, John L. Synge, who knew and admired Oswald Veblen, Cathleen Synge Morawetz and her husband, Herbert, substantially increased the endowed fund in 2013. The award is supplemented by a Steele Prize from the AMS under the name of the Veblen Prize. The current prize amount is $5,000. Miscellaneous Information The business of this committee can be done by mail, electronic mail, or telephone, expenses which may be reimbursed by the Society. Note to the Chair Work done by committees on recurring problems may have value as precedent or work done may have historical interest. -
An Exploratory Study with Major Professional Content Providers in the United Kingdom
Online science videos: an exploratory study with major professional content providers in the United Kingdom M. Carmen Erviti and Erik Stengler Abstract We present an exploratory study of science communication via online video through various UK-based YouTube science content providers. We interviewed five people responsible for eight of the most viewed and subscribed professionally generated content channels. The study reveals that the immense potential of online video as a science communication tool is widely acknowledged, especially regarding the possibility of establishing a dialogue with the audience and of experimenting with different formats. It also shows that some online video channels fully exploit this potential whilst others focus on providing a supplementary platform for other kinds of science communication, such as print or TV. Keywords Popularization of science and technology; Science and media; Visual communication Context Online video is one of the most popular content choices for Internet users. According to Cisco [2014], video traffic was, in terms of data, 66% of all consumer Internet traffic in 2013 and it is predicted to be 79% by 2018. Online video is extensively used for instructional purposes and various authors have analysed this use in recent years [e.g. Pace and Jones, 2009; DeCesare, 2014; Cooper and Higgins, 2015]. Morain and Swarts [2012] proposed a methodology to analyse instructional online video, focussing on sounds, images and texts, the rhetorical work and the information design of a sample of videos. The use of online video within the academic community is also growing as a means of peer-to-peer communication, and Kousha, Thelwall and Abdoli [2012] studied YouTube videos cited in published academic research. -
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. -
Producers of Popular Science Web Videos – Between New Professionalism and Old Gender Issues
Producers of Popular Science Web Videos – Between New Professionalism and Old Gender Issues Jesús Muñoz Morcillo1*, Klemens Czurda*, Andrea Geipel**, Caroline Y. Robertson-von Trotha* ABSTRACT: This article provides an overview of the web video production context related to science communication, based on a quantitative analysis of 190 YouTube videos. The authors explore the main characteristics and ongoing strategies of producers, focusing on three topics: professionalism, producer’s gender and age profile, and community building. In the discussion, the authors compare the quantitative results with recently published qualitative research on producers of popular science web videos. This complementary approach gives further evidence on the main characteristics of most popular science communicators on YouTube, it shows a new type of professionalism that surpasses the hitherto existing distinction between User Generated Content (UGC) and Professional Generated Content (PGC), raises gender issues, and questions the participatory culture of science communicators on YouTube. Keywords: Producers of Popular Science Web Videos, Commodification of Science, Gender in Science Communication, Community Building, Professionalism on YouTube Introduction Not very long ago YouTube was introduced as a platform for sharing videos without commodity logic. However, shortly after Google acquired YouTube in 2006, the free exchange of videos gradually shifted to an attention economy ruled by manifold and omnipresent advertising (cf. Jenkins, 2009: 120). YouTube has meanwhile become part of our everyday experience, of our “being in the world” (Merleau Ponty) with all our senses, as an active and constitutive dimension of our understanding of life, knowledge, and communication. However, because of the increasing exploitation of private data, some critical voices have arisen arguing against the production and distribution of free content and warning of the negative consequences for content quality and privacy (e.g., Keen, 2007; Welzer, 2016). -
COLUMBIA Columbia University DIGITAL KNOWLEDGE VENTURES
COLUMBIA columbia university DIGITAL KNOWLEDGE VENTURES Brain and Mind May 13, 2004 Gerald D. Fischbach, MD Neuroscience and Neuropathology—Converging Streams Introduction by Lee Bollinger President Lee Bollinger: This symposium is the result of the very, very hard work of Professor Tom Jessell and Dr. Joanna Rubinstein, and I want to thank and acknowledge them, and would like to thank all of you for coming. This is a great testament to the general perceived importance of the subjects of this symposium. I want to thank all the speakers who have come to participate. I want to take this occasion just to announce that Columbia will be launching—we are launching, as of this moment—an institute for neuroscience that will be part (eventually) of the major center for the study of the brain and behavior. We all, I think, recognize in the academy the extraordinary advances that have come just in the past few decades, the past decade in particular, because of the discoveries around the genetic code. Where that will take us of course we don't know, and we're making very, very significant investments across the country in trying to advance knowledge as a result of that new knowledge. But the study of the brain and how it works is clearly central not only to the curing of disease, but also to the understandings that we bring to every, virtually every, area of life: social sciences, the professions, and the humanities. And it is Columbia's goal to try to bring as many scientific advances as we possibly can to this area, and also to integrate it with other areas of knowledge. -
Solar Cycles: a Comparative 83 Analysis M
Volume 6 Number 2 Apr - Jun 2017 STUDENT JOURNAL OF PHYSICS INTERNATIONAL EDITION INDIAN ASSOCIATION OF PHYSICS TEACHERS ISSN – 2319-3166 STUDENT JOURNAL OF PHYSICS EDITORIAL BOARD INTERNATIONAL ADVISORY BOARD Editor in Chief H.S. Mani, CMI, Chennai, India ([email protected]) L. Satpathy, Institute of Physics, Bhubaneswar, India S. M. Moszkowski, UCLA, USA ([email protected]) ([email protected]) Jogesh C. Pati, SLAC, Stanford, USA ([email protected]) Satya Prakash, Panjab University, Chandigarh, India Chief Editors ([email protected]) S. D. Mahanti, Physics and Astronomy Department, T.V. Ramakrishnan, BHU, Varanasi, India Michigan State University, East Lansing, Mi 48824, USA ([email protected]) ([email protected]) G. Rajasekaran, The Institute of Mathematical Sciences, A.M. Srivastava, Institute of Physics, Bhubaneswar, India Chennai, India ([email protected]) ([email protected]) Ashoke Sen, HRI, Allahabad, India ([email protected]) X. Vinas, Departament d’Estructura i Constituents de la Mat`eria and Institut de Ci`encies del Cosmos, Facultat de F INTERNATIONAL EDITORIAL BOARD ´ısica, Universitat de Barcelona, Barcelona, Spain Danny Caballero, Department of Physics, Michigan State ([email protected]) University, U.S.A. ([email protected]) Gerd Kortemeyer, Joint Professor in Physics & Lyman Briggs College, Michigan State University, U.S.A. Technical Editor ([email protected]) D. Pradhan, ILS, Bhubaneswar, India Bedanga Das Mohanty, NISER, Bhubaneswar, India ([email protected]) ([email protected]) Prasanta Panigrahi, IISER, Kolkata, India ([email protected]) Web Management K.C. Ajith Prasad, Mahatma Gandhi College, Aditya Prasad Ghosh, IOP, Bhubaneswar, India Thiruvananthapuram, India ([email protected]) ([email protected]) Ralph Scheicher, Physics Department, University of Uppsala, Sweden ([email protected]) Vijay A.