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Commentary on the Kervaire–Milnor Correspondence 1958–1961
BULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY Volume 52, Number 4, October 2015, Pages 603–609 http://dx.doi.org/10.1090/bull/1508 Article electronically published on July 1, 2015 COMMENTARY ON THE KERVAIRE–MILNOR CORRESPONDENCE 1958–1961 ANDREW RANICKI AND CLAUDE WEBER Abstract. The extant letters exchanged between Kervaire and Milnor during their collaboration from 1958–1961 concerned their work on the classification of exotic spheres, culminating in their 1963 Annals of Mathematics paper. Michel Kervaire died in 2007; for an account of his life, see the obituary by Shalom Eliahou, Pierre de la Harpe, Jean-Claude Hausmann, and Claude We- ber in the September 2008 issue of the Notices of the American Mathematical Society. The letters were made public at the 2009 Kervaire Memorial Confer- ence in Geneva. Their publication in this issue of the Bulletin of the American Mathematical Society is preceded by our commentary on these letters, provid- ing some historical background. Letter 1. From Milnor, 22 August 1958 Kervaire and Milnor both attended the International Congress of Mathemati- cians held in Edinburgh, 14–21 August 1958. Milnor gave an invited half-hour talk on Bernoulli numbers, homotopy groups, and a theorem of Rohlin,andKer- vaire gave a talk in the short communications section on Non-parallelizability of the n-sphere for n>7 (see [2]). In this letter written immediately after the Congress, Milnor invites Kervaire to join him in writing up the lecture he gave at the Con- gress. The joint paper appeared in the Proceedings of the ICM as [10]. Milnor’s name is listed first (contrary to the tradition in mathematics) since it was he who was invited to deliver a talk. -
Millennium Prize for the Poincaré
FOR IMMEDIATE RELEASE • March 18, 2010 Press contact: James Carlson: [email protected]; 617-852-7490 See also the Clay Mathematics Institute website: • The Poincaré conjecture and Dr. Perelmanʼs work: http://www.claymath.org/poincare • The Millennium Prizes: http://www.claymath.org/millennium/ • Full text: http://www.claymath.org/poincare/millenniumprize.pdf First Clay Mathematics Institute Millennium Prize Announced Today Prize for Resolution of the Poincaré Conjecture a Awarded to Dr. Grigoriy Perelman The Clay Mathematics Institute (CMI) announces today that Dr. Grigoriy Perelman of St. Petersburg, Russia, is the recipient of the Millennium Prize for resolution of the Poincaré conjecture. The citation for the award reads: The Clay Mathematics Institute hereby awards the Millennium Prize for resolution of the Poincaré conjecture to Grigoriy Perelman. The Poincaré conjecture is one of the seven Millennium Prize Problems established by CMI in 2000. The Prizes were conceived to record some of the most difficult problems with which mathematicians were grappling at the turn of the second millennium; to elevate in the consciousness of the general public the fact that in mathematics, the frontier is still open and abounds in important unsolved problems; to emphasize the importance of working towards a solution of the deepest, most difficult problems; and to recognize achievement in mathematics of historical magnitude. The award of the Millennium Prize to Dr. Perelman was made in accord with their governing rules: recommendation first by a Special Advisory Committee (Simon Donaldson, David Gabai, Mikhail Gromov, Terence Tao, and Andrew Wiles), then by the CMI Scientific Advisory Board (James Carlson, Simon Donaldson, Gregory Margulis, Richard Melrose, Yum-Tong Siu, and Andrew Wiles), with final decision by the Board of Directors (Landon T. -
NMD, National Security Issues Featured at 2001 April Meeting In
April 2001 NEWS Volume 10, No. 4 A Publication of The American Physical Society http://www.aps.org/apsnews NMD, National Security Issues Featured Phase I CPU Report to be at 2001 April Meeting in Washington Discussed at Attendees of the 2001 APS April include a talk on how the news me- Meeting, which returns to Wash- dia cover science by David April Meeting ington, DC, this year, should arrive Kestenbaum, a self-described “es- The first phase of a new Na- just in time to catch the last of the caped physicist who is hiding out tional Research Council report of cherry blossom season in between at National Public Radio,” and a lec- the Committee on the Physics of scheduled sessions and special ture on entangled photons for the Universe (CPU) will be the events. The conference will run quantum information by the Uni- topic of discussion during a spe- April 28 through May 1, and will versity of Illinois’ Paul Kwiat. Other cial Sunday evening session at the feature the latest results in nuclear scheduled topics include imaging APS April Meeting in Washing- physics, astrophysics, chemical the cosmic background wave back- ton, DC. The session is intended physics, particles and fields, com- ground, searching for extra to begin the process of collect- putational physics, plasma physics, dimensions, CP violation in B me- ing input from the scientific the physics of beams, and physics sons, neutrino oscillations, and the community on some of the is- history, among other subdisci- amplification of atoms and light in The White House and (inset) some of its famous fictional sues outlined in the draft report, plines. -
6 8 Myriam Sarachik Elected APS Vice President
November 2000 NEWS Volume 9, No. 10 A Publication of The American Physical Society http://www.aps.org/apsnews Myriam Sarachik Elected APS Vice President Members of the APS have chosen Sciences Research at Lucent. Only and government labs, and to pro- Myriam Sarachik, a distinguished two new general councillors were vide the next generation of professor of physics at City College elected, compared to the four educators at our universities,” she of New York’s City University of New elected in previous years, to reflect says. One of her goals as President York, to be the Society’s next vice recent changes in the APS Consti- will be to strengthen the society’s president. Sarachik is the third tution, designed to reduce the size efforts to make a career in physics woman to be elected to the presi- of the APS Council. These changes attractive. “We need to be more ef- dential line in the Society’s 101-year were published in the March 2000 fective in explaining the pleasures history, following C.S. Wu of Colum- issue of APS News. that a career in physics can bring, bia in 1975, and Mildred the satisfaction garnered from VICE PRESIDENT CHAIR-ELECT OF THE Dresselhaus of MIT (who became VICE PRESIDENT teaching, and the excitement of re- Myriam Sarachik NOMINATING COMMITTEE Director of the Department of MYRIAM SARACHIK search and discovery; we must also Susan Coppersmith Energy’s Office of Science in August) City College of New York/CUNY have salaries competitive with other in 1984. Sarachik’s term begins Born in Antwerp, Belgium, professional options,” she says. -
2018 March Meeting Program Guide
MARCHMEETING2018 LOS ANGELES MARCH 5-9 PROGRAM GUIDE #apsmarch aps.org/meetingapp aps.org/meetings/march Senior Editor: Arup Chakraborty Robert T. Haslam Professor of Chemical Engineering; Professor of Chemistry, Physics, and Institute for Medical Engineering and Science, MIT Now welcoming submissions in the Physics of Living Systems Submit your best work at elifesci.org/physics-living-systems Image: D. Bonazzi (CC BY 2.0) Led by Senior Editor Arup Chakraborty, this dedicated new section of the open-access journal eLife welcomes studies in which experimental, theoretical, and computational approaches rooted in the physical sciences are developed and/or applied to provide deep insights into the collective properties and function of multicomponent biological systems and processes. eLife publishes groundbreaking research in the life and biomedical sciences. All decisions are made by working scientists. WELCOME t is a pleasure to welcome you to Los Angeles and to the APS March I Meeting 2018. As has become a tradition, the March Meeting is a spectacular gathering of an enthusiastic group of scientists from diverse organizations and backgrounds who have broad interests in physics. This meeting provides us an opportunity to present exciting new work as well as to learn from others, and to meet up with colleagues and make new friends. While you are here, I encourage you to take every opportunity to experience the amazing science that envelops us at the meeting, and to enjoy the many additional professional and social gatherings offered. Additionally, this is a year for Strategic Planning for APS, when the membership will consider the evolving mission of APS and where we want to go as a society. -
AMERICAN MATHEMATICAL SOCIETY Business Office: P.O. Box 6248, Providence, Rhode Island 02940 William J
AMERICAN MATHEMATICAL SOCIETY Business Office: P.O. Box 6248, Providence, Rhode Island 02940 William J. LeVeque, Executive Director Lincoln K. Durst, Deputy Director OFFICERS President: R. H. Bing, Dept. of Mathematics, University of Texas at Austin, Austin, TX 78712 President-elect: Peter D. Lax, Courant Institute of Mathematical Sciences, New York University, 251 Mercer St., New York, NY 10012 Vice-Presidents: William Browder, Dept. of Mathematics, Box 708, Fine Hall, Princeton University, Princeton, NJ 08540; Julia B. Robinson, 243 Lake Dr., Berkeley, CA 94708; George W. Whitehead, Dept. of Mathematics, Room 2-284, Massachusetts Institute of Technology, Cambridge, MA 02139 Secretary: Everett Pitcher, Dept. of Mathematics, Lehigh University, Bethelehem, PA 18015 Associate Secretaries: Raymond G. Ayoub, Dept. of Mathematics, 203 McAllister Building, Pennsylvania State University, University Park, PA 16802; Paul T. Bateman, Dept. of Mathematics, University of Illinois, Urbana, IL 61801; Frank T. Birtel, College of Arts and Sciences, Tulane University, New Orleans, LA 70118; Kenneth A. Ross, Dept. of Mathema tics, University of Oregon, Eugene, OR 97403 Treasurer: Franklin P. Peterson, Dept. of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139 Associate Treasurer: Steve Armentrout, Dept. of Mathematics, 230 McAllister Building, Penn sylvania State University, University Park, PA 16802 Board of Trustees: Steve Armentrout (ex officio); R. H. Bing (ex officio); Joseph J. Kohn, Dept. of Mathematics, Princeton University, Princeton, NJ 08540; Calvin C. Moore, Dept. of Mathematics, University of California, Berkeley, CA 94720; Cathleen S. Morawetz, Courant Institute of Mathematical Sciences, New York University, 251 Mercer St., New York, NY 10012; Richard S. Palais, Dept. of Mathematics, Brandeis University, Waltham, MA 02154; Franklin P. -
DPF NEWSLETTER - April 15, 1996
DPF NEWSLETTER - April 15, 1996 To: Members of the Division of Particles and Fields From: Jonathan Bagger, Secretary-Treasurer, [email protected] 1995 DPF Elections Howard Georgi was elected Vice-Chair of the DPF. Tom Devlin and Heidi Schellman were elected to the Executive Committee. George Trilling was elected as a Division Councillor. The current members of the DPF Executive Committee and the final years of their terms are Chair: Frank Sciulli (1996) Chair-Elect: Paul Grannis (1996) Vice-Chair: Howard Georgi (1996) Past Chair: David Cassel (1996) Secretary-Treasurer: Jonathan Bagger (1997) Division Councillor: Henry Frisch (1997), George Trilling (1998) Executive Board: Sally Dawson (1996), Tom Devlin (1998), Martin Einhorn (1997), John Rutherfoord (1997), Heidi Schellman (1998), Michael Shaevitz (1996) Call for Nominations: 1996 DPF Elections The 1996 Nominating Committee is hard at work. Please send suggestions for candidates to the Chair, Abe Seiden of Santa Cruz ([email protected]). The other members of the Nominating Committee are Melissa Franklin, Robert Jaffe, Michael Murtagh, Helen Quinn, and Bill Reay. DPF Members are also entitled to nominate candidates by petition. Twenty signatures from DPF members are required. Nominations will be accepted by Jonathan Bagger until May 15, 1996. Snowmass 1996: New Directions for High Energy Physics The 1996 Snowmass Workshop on New Directions in High Energy Physics will be held in Snowmass, Colorado, from June 24 to July 12, 1996. Arrival, registration, and a reception will be on June 24. Full-day plenary sessions will be held on June 25-26 and July 11-12. This workshop will provide an opportunity to begin to develop a coherent plan for the longer term future for U.S. -
Writing the History of Dynamical Systems and Chaos
Historia Mathematica 29 (2002), 273–339 doi:10.1006/hmat.2002.2351 Writing the History of Dynamical Systems and Chaos: View metadata, citation and similar papersLongue at core.ac.uk Dur´ee and Revolution, Disciplines and Cultures1 brought to you by CORE provided by Elsevier - Publisher Connector David Aubin Max-Planck Institut fur¨ Wissenschaftsgeschichte, Berlin, Germany E-mail: [email protected] and Amy Dahan Dalmedico Centre national de la recherche scientifique and Centre Alexandre-Koyre,´ Paris, France E-mail: [email protected] Between the late 1960s and the beginning of the 1980s, the wide recognition that simple dynamical laws could give rise to complex behaviors was sometimes hailed as a true scientific revolution impacting several disciplines, for which a striking label was coined—“chaos.” Mathematicians quickly pointed out that the purported revolution was relying on the abstract theory of dynamical systems founded in the late 19th century by Henri Poincar´e who had already reached a similar conclusion. In this paper, we flesh out the historiographical tensions arising from these confrontations: longue-duree´ history and revolution; abstract mathematics and the use of mathematical techniques in various other domains. After reviewing the historiography of dynamical systems theory from Poincar´e to the 1960s, we highlight the pioneering work of a few individuals (Steve Smale, Edward Lorenz, David Ruelle). We then go on to discuss the nature of the chaos phenomenon, which, we argue, was a conceptual reconfiguration as -
Roger Falcone Chosen As Vice President of APS for 2016
August/September 2015 • Vol. 24, No. 8 A PUBLICATION OF THE AMERICAN PHYSICAL SOCIETY PhysTEC Grows Page 4 WWW.APS.ORG/PUBLICATIONS/APSNEWS Roger Falcone Chosen as Vice President of APS for 2016 By Emily Conover ident-elect, Homer Neal, will APS members took to the polls assume the position of president. in May and June to select new The current vice president, Laura leadership, and the votes have been Greene, will become president- tallied. The majority of voters in elect, and Falcone will assume the annual general election chose the vice presidency. Falcone will Roger Falcone to fill the office of become president of the Society vice president beginning January in 2018. “I’m very pleased to be able to Roger Falcone James Hollenhorst Deborah Jin Johanna Stachel Bonnie Fleming 1, 2016. Falcone, a professor of Vice President Treasurer Chair-Elect International Councilor General Councilor physics at the University of Califor- serve the Society and the physicists Nominating Committee nia, Berkeley, is the director of the within APS,” Falcone said. “I will is carried out,” Falcone said in his horst, senior director of technology of the APS.” Advanced Light Source, an x-ray be spending a lot of time listening, candidate statement. for Agilent Technologies, will be In his candidate statement, synchrotron facility at Lawrence to understand the work of the APS The election is the first since the the first elected treasurer of APS. Hollenhorst cited sound financial Berkeley National Laboratory. more close-up, and also hearing corporate reform that was instituted Past president Malcolm Beasley is management as a top priority. -
Prizes and Awards Session
PRIZES AND AWARDS SESSION Wednesday, July 12, 2021 9:00 AM EDT 2021 SIAM Annual Meeting July 19 – 23, 2021 Held in Virtual Format 1 Table of Contents AWM-SIAM Sonia Kovalevsky Lecture ................................................................................................... 3 George B. Dantzig Prize ............................................................................................................................. 5 George Pólya Prize for Mathematical Exposition .................................................................................... 7 George Pólya Prize in Applied Combinatorics ......................................................................................... 8 I.E. Block Community Lecture .................................................................................................................. 9 John von Neumann Prize ......................................................................................................................... 11 Lagrange Prize in Continuous Optimization .......................................................................................... 13 Ralph E. Kleinman Prize .......................................................................................................................... 15 SIAM Prize for Distinguished Service to the Profession ....................................................................... 17 SIAM Student Paper Prizes .................................................................................................................... -
APS News, August-September 2019, Vol. 28, No. 8
STEP UP Preparing for Careers Leroy Apker Back Page: Openness and 02│ for Change 03│ with PIPELINE 05│ Award Finalists 08│ Security in Research Aug./Sept. 2019 • Vol. 28, No. 8 aps.org/apsnews A PUBLICATION OF THE AMERICAN PHYSICAL SOCIETY HONORS JOURNALS 2020 APS Medal for Exceptional Achievement in Physical Review Research Research Awarded to Myriam P. Sarachik Publishes its First Papers BY DAVID VOSS o launch its inaugural issue, Physical Review Research has hysicist Myriam P. Sarachik electron systems. I am very pleased has been selected to receive that she will receive the APS Medal T published its first content the 2020 APS Medal for for Exceptional Achievement in less than two months since opening P for submissions in June. Exceptional Achievement in Research. I’m especially pleased Research for her “fundamental that this honor goes to someone Demonstrating the journal’s contributions to the physics of who has also been so active in broad, multidisciplinary scope electronic transport in solids and promoting the core values of APS. covering all of physics and related molecular magnetism.” Not only is Myriam a past President fields of interest to the physics An APS Fellow, Sarachik is of the Society; she is also well- community, the first release of Distinguished Professor of Physics known for her efforts to defend peer-reviewed research articles at City College of New York. She human rights and the principles of includes advances in the areas of was President of APS in 2003 and diversity and inclusion in physics.” materials science, quantum infor- received the APS Oliver E. -
JULY 1997 the AMERICAN PHYSICAL SOCIETY VOLUME 6, NO 7 APS Newstry the Enhanced APS News-Online: [
A P S N E W S JULY 1997 THE AMERICAN PHYSICAL SOCIETY VOLUME 6, NO 7 APS NewsTry the enhanced APS News-online: [http://www.aps.org/apsnews] Highlights from Washington, DC Atom Laser, CEBAF Results Mark 1997 Spring Meeting pproximately 1,500 physicists out as tiny quantum disruptions or fluc- the recipients appeared in the April machine is on. Although these atoms Aassembled in Washington, DC, for tuations) that would later grow into the 1997 issue of APS News. (like those produced at the CERN lab the 1997 Joint Spring Meeting of the galaxy clusters observed in the present in Geneva) have not been captured, a APS and the American Association of universe. Finally, Mark Spano of the Technical Sessions plan has been formulated at Fermilab Physics Teachers (AAPT), 18-21 April. Naval Surface Warfare Center discussed for both increasing the production rate Search for Neutrino Oscillations The most varied of APS meetings progress in understanding, and even and for passing newly-made anti-H’s Two years ago at this meeting a because of the number of APS divisions controlling, chaos. These studies have through a strong magnet which will group of physicists from Los Alamos represented in the program, the Spring already been usefully applied to actual help to differentiate different excited- presented evidence for neutrino oscil- Meeting explored current topics in physical systems such as lasers, chemi- state species. At a later session, Walter lation, the transformation of neutrinos particle physics, astrophysics, fluids, cal reactions, combustion engines, Oelert of the Julich Institute of Nuclear from one type to another, in an experi- particle beams, physics of beams, hearts, and brain tissue.