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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. -
The UK E-Science Core Programme and the Grid Tony Hey∗, Anne E
Future Generation Computer Systems 18 (2002) 1017–1031 The UK e-Science Core Programme and the Grid Tony Hey∗, Anne E. Trefethen UK e-Science Core Programme EPSRC, Polaris House, North Star Avenue, Swindon SN2 1ET, UK Abstract This paper describes the £120M UK ‘e-Science’ (http://www.research-councils.ac.uk/and http://www.escience-grid.org.uk) initiative and begins by defining what is meant by the term e-Science. The majority of the £120M, some £75M, is funding large-scale e-Science pilot projects in many areas of science and engineering. The infrastructure needed to support such projects must permit routine sharing of distributed and heterogeneous computational and data resources as well as supporting effective collaboration between groups of scientists. Such an infrastructure is commonly referred to as the Grid. Apart from £10M towards a Teraflop computer, the remaining funds, some £35M, constitute the e-Science ‘Core Programme’. The goal of this Core Programme is to advance the development of robust and generic Grid middleware in collaboration with industry. The key elements of the Core Programme will be outlined including details of a UK e-Science Grid testbed. The pilot e-Science projects that have so far been announced are then briefly described. These projects span a range of disciplines from particle physics and astronomy to engineering and healthcare, and illustrate the breadth of the UK e-Science Programme. In addition to these major e-Science projects, the Core Programme is funding a series of short-term e-Science demonstrators across a number of disciplines as well as projects in network traffic engineering and some international collaborative activities. -
The Fourth Paradigm
ABOUT THE FOURTH PARADIGM This book presents the first broad look at the rapidly emerging field of data- THE FOUR intensive science, with the goal of influencing the worldwide scientific and com- puting research communities and inspiring the next generation of scientists. Increasingly, scientific breakthroughs will be powered by advanced computing capabilities that help researchers manipulate and explore massive datasets. The speed at which any given scientific discipline advances will depend on how well its researchers collaborate with one another, and with technologists, in areas of eScience such as databases, workflow management, visualization, and cloud- computing technologies. This collection of essays expands on the vision of pio- T neering computer scientist Jim Gray for a new, fourth paradigm of discovery based H PARADIGM on data-intensive science and offers insights into how it can be fully realized. “The impact of Jim Gray’s thinking is continuing to get people to think in a new way about how data and software are redefining what it means to do science.” —Bill GaTES “I often tell people working in eScience that they aren’t in this field because they are visionaries or super-intelligent—it’s because they care about science The and they are alive now. It is about technology changing the world, and science taking advantage of it, to do more and do better.” —RhyS FRANCIS, AUSTRALIAN eRESEARCH INFRASTRUCTURE COUNCIL F OURTH “One of the greatest challenges for 21st-century science is how we respond to this new era of data-intensive -
Preface Issue 4-2014
Jahresber Dtsch Math-Ver (2014) 116:199–200 DOI 10.1365/s13291-014-0108-4 PREFACE Preface Issue 4-2014 Hans-Christoph Grunau © Deutsche Mathematiker-Vereinigung and Springer-Verlag Berlin Heidelberg 2014 The last few years have been a good time for solving long standing geometrical- topological conjectures. This issue reports on the solution of the Willmore conject-√ ure—the “best” topological torus is a “real” torus with ratio of radii equal to 2— and one of Thurston’s conjectures—every hyperbolic 3-manifold can be fibered over a circle, up to passing to a finite cover. Starting in the 1960s, Thomas Willmore studied the integral of the squared mean curvature of surfaces in R3 as the simplest but most interesting frame invariant elas- tic bending energy. This energy had shown up already in the early 19th century—too early for a rigorous investigation. Willmore asked: What is the shape of a compact surface of fixed genus minimising the Willmore energy in this class? (In the 1990s, existence of minimisers was proved by Leon Simon, with a contribution by Matthias Bauer and Ernst Kuwert.) Willmore already knew that the genus-0-minimiser is a sphere. Assuming that symmetric surfaces require less energy than asymmetric ones (which has not been proved, yet) he studied families√ of geometric tori with the smaller radius 1 fixed and found that the larger radius 2 would yield the minimum in this very special family. He conjectured that this particular torus would be the genus- 1-minimiser. Almost 50 years later Fernando Marques and André Neves found and published a 100-page-proof. -
Arxiv:2103.09350V1 [Math.DS] 16 Mar 2021 Nti Ae Esuytegopo Iainltransformatio Birational Vue
BIRATIONAL KLEINIAN GROUPS SHENGYUAN ZHAO ABSTRACT. In this paper we initiate the study of birational Kleinian groups, i.e. groups of birational transformations of complex projective varieties acting in a free, properly dis- continuous and cocompact way on an open subset of the variety with respect to the usual topology. We obtain a classification in dimension two. CONTENTS 1. Introduction 1 2. Varietiesofnon-negativeKodairadimension 6 3. Complex projective Kleinian groups 8 4. Preliminaries on groups of birational transformations ofsurfaces 10 5. BirationalKleiniangroupsareelementary 13 6. Foliated surfaces 19 7. Invariant rational fibration I 22 8. InvariantrationalfibrationII:ellipticbase 29 9. InvariantrationalfibrationIII:rationalbase 31 10. Classification and proof 43 References 47 1. INTRODUCTION 1.1. Birational Kleinian groups. 1.1.1. Definitions. According to Klein’s 1872 Erlangen program a geometry is a space with a nice group of transformations. One of the implementations of this idea is Ehres- arXiv:2103.09350v1 [math.DS] 16 Mar 2021 mann’s notion of geometric structures ([Ehr36]) which models a space locally on a geom- etry in the sense of Klein. In his Erlangen program, Klein conceived a geometry modeled upon birational transformations: Of such a geometry of rational transformations as must result on the basis of the transformations of the first kind, only a beginning has so far been made... ([Kle72], [Kle93]8.1) In this paper we study the group of birational transformations of a variety from Klein and Ehresmann’s point of vue. Let Y be a smooth complex projective variety and U ⊂ Y a connected open set in the usual topology. Let Γ ⊂ Bir(Y ) be an infinite group of birational transformations. -
Mostow and Artin Awarded 2013 Wolf Prize
Mostow and Artin Awarded 2013 Wolf Prize rigidity methods and techniques opened a flood- gate of investigations and results in many related areas of mathematics. Mostow’s emphasis on the “action at infinity” has been developed by many mathematicians in a variety of directions. It had a huge impact in geometric group theory, in the study of Kleinian groups and of low-dimensional topology, and in work connecting ergodic theory and Lie groups. Mostow’s contribution to math- ematics is not limited to strong rigidity theorems. His work on Lie groups and their discrete sub- groups, which was done during 1948–1965, was very influential. Mostow’s work on examples of nonarithmetic lattices in two- and three-dimen- sional complex hyperbolic spaces (partially in Photo: Donna Coveney. Photo: Michael Marsland/Yale. collaboration with P. Deligne) is brilliant and led George D. Mostow Michael Artin to many important developments in mathematics. In Mostow’s work one finds a stunning display of The 2013 Wolf Prize in Mathematics has been a variety of mathematical disciplines. Few math- awarded to: ematicians can compete with the breadth, depth, George D. Mostow, Yale University, “for his and originality of his works. fundamental and pioneering contribution to ge- Michael Artin is one of the main architects ometry and Lie group theory.” of modern algebraic geometry. His fundamental Michael Artin, Massachusetts Institute of contributions encompass a bewildering number Technology, “for his fundamental contributions of areas in this field. to algebraic geometry, both commutative and To begin with, the theory of étale cohomology noncommutative.” was introduced by Michael Artin jointly with Al- The prize of US$100,000 will be divided equally exander Grothendieck. -
Abraham Robinson 1918–1974
NATIONAL ACADEMY OF SCIENCES ABRAHAM ROBINSON 1918–1974 A Biographical Memoir by JOSEPH W. DAUBEN Any opinions expressed in this memoir are those of the author and do not necessarily reflect the views of the National Academy of Sciences. Biographical Memoirs, VOLUME 82 PUBLISHED 2003 BY THE NATIONAL ACADEMY PRESS WASHINGTON, D.C. Courtesy of Yale University News Bureau ABRAHAM ROBINSON October 6, 1918–April 11, 1974 BY JOSEPH W. DAUBEN Playfulness is an important element in the makeup of a good mathematician. —Abraham Robinson BRAHAM ROBINSON WAS BORN on October 6, 1918, in the A Prussian mining town of Waldenburg (now Walbrzych), Poland.1 His father, Abraham Robinsohn (1878-1918), af- ter a traditional Jewish Talmudic education as a boy went on to study philosophy and literature in Switzerland, where he earned his Ph.D. from the University of Bern in 1909. Following an early career as a journalist and with growing Zionist sympathies, Robinsohn accepted a position in 1912 as secretary to David Wolfson, former president and a lead- ing figure of the World Zionist Organization. When Wolfson died in 1915, Robinsohn became responsible for both the Herzl and Wolfson archives. He also had become increas- ingly involved with the affairs of the Jewish National Fund. In 1916 he married Hedwig Charlotte (Lotte) Bähr (1888- 1949), daughter of a Jewish teacher and herself a teacher. 1Born Abraham Robinsohn, he later changed the spelling of his name to Robinson shortly after his arrival in London at the beginning of World War II. This spelling of his name is used throughout to distinguish Abby Robinson the mathematician from his father of the same name, the senior Robinsohn. -
Mr Chancellor
ANTHONY JOHN GRENVILLE HEY DCL Mr Chancellor, “All the world's a stage … and one man in his time plays many parts”. Of no-one is this truer than of Professor Tony Hey. He does indeed stride the world stage, and has successively been at the forefront of particle physics, computing science, research programme direction, the popularization of ‘hard science’, and the stimulation of innovation in the world’s foremost software company. Notwithstanding his thirty-one years of service to the University of Southampton in a succession of ever more senior academic posts, Tony’s most recent appointment (as Corporate Vice President of Technical Computing at Microsoft) actually marks the sixth time he has set up camp in the United States: one gets the impression that only the QE2 might exceed his record for round-trips between Southampton and the USA! The roots of his long-term fascination with America were laid immediately after he completed his PhD at Oxford, when he took up a Harkness Fellowship at Caltech to work at the forefront of particle physics with two Nobel Prize Winners: Richard Feynman and Murray Gell-Mann. The spirit of openness, drive and adventure with which his American colleagues were imbued made a lasting impression on Tony. 1 After leaving the USA, Tony spent two years in Geneva as a Research Fellow at CERN, the European Organization for Nuclear Research. Later to become the birthplace of the worldwide web, in the early 1970s CERN was rapidly expanding its unique facilities for probing subatomic particles, and Tony worked in a team which developed the theoretical under-pinning for much of modern quantum physics. -
First Report of ASCAC-OSTI Subcommittee
First Report of ASCAC-OSTI Subcommittee Tony Hey Subcommittee Chair eScience Institute University of Washington [email protected] What Is OSTI? OSTI is a program within DOE’s Office of Science, with a Since 1947! corporate responsibility for ensuring access to DOE R&D results. Public access to unclassified, unlimited Restricted access to classified and sensitive Slide courtesy of Brian Hitson DOE STI Program • OSTI manages agency-wide program – STIP • Responsibilities defined in DOE O 241.1B • Broad network of STI managers across DOE complex • R&D results collected electronically from Labs and Grantees • STI Submissions by year FY12 FY13 FY14 20,205 28,793 41,867 Slide courtesy of Brian Hitson Context: OSTP Memorandum • Directive requiring the major Federal Funding agencies “to develop a plan to support increased public access to the results of research funded by the Federal Government.” • The memorandum defines digital data “as the digital recorded factual material commonly accepted in the scientific community as necessary to validate research findings including data sets used to support scholarly publications, but does not include laboratory notebooks, preliminary analyses, drafts of scientific papers, plans for future research, peer review reports, communications with colleagues, or physical objects, such as laboratory specimens.” 22 February 2013 DOE Public Access Plan, July 24, 2014 Public Access to Scientific Publications • OSTI is responsible for operating and maintaining DOE’s public access system and network • The submission of -
Armand Borel 1923–2003
Armand Borel 1923–2003 A Biographical Memoir by Mark Goresky ©2019 National Academy of Sciences. Any opinions expressed in this memoir are those of the author and do not necessarily reflect the views of the National Academy of Sciences. ARMAND BOREL May 21, 1923–August 11, 2003 Elected to the NAS, 1987 Armand Borel was a leading mathematician of the twen- tieth century. A native of Switzerland, he spent most of his professional life in Princeton, New Jersey, where he passed away after a short illness in 2003. Although he is primarily known as one of the chief archi- tects of the modern theory of linear algebraic groups and of arithmetic groups, Borel had an extraordinarily wide range of mathematical interests and influence. Perhaps more than any other mathematician in modern times, Borel elucidated and disseminated the work of others. family the Borel of Photo courtesy His books, conference proceedings, and journal publica- tions provide the document of record for many important mathematical developments during his lifetime. By Mark Goresky Mathematical objects and results bearing Borel’s name include Borel subgroups, Borel regulator, Borel construction, Borel equivariant cohomology, Borel-Serre compactification, Bailey- Borel compactification, Borel fixed point theorem, Borel-Moore homology, Borel-Weil theorem, Borel-de Siebenthal theorem, and Borel conjecture.1 Borel was awarded the Brouwer Medal (Dutch Mathematical Society), the Steele Prize (American Mathematical Society) and the Balzan Prize (Italian-Swiss International Balzan Foundation). He was a member of the National Academy of Sciences (USA), the American Academy of Arts and Sciences, the American Philosophical Society, the Finnish Academy of Sciences and Letters, the Academia Europa, and the French Academy of Sciences.1 1 Borel enjoyed pointing out, with some amusement, that he was not related to the famous Borel of “Borel sets." 2 ARMAND BOREL Switzerland and France Armand Borel was born in 1923 in the French-speaking city of La Chaux-de-Fonds in Switzerland. -
Agenda All Presentations Will Take Place in the Main Meeting Room in the Training Centre
The PharmaGRID Retreat Organized by The PRISM Forum June 30th-July 2nd 2003 The Node Conference Centre, Welwyn, UK Agenda All presentations will take place in the main meeting room in the training centre. Lunch will be served in the Dining Room, which is located in the main building. Dinner on the evening on June 30th will be held in the main dining room, and BBQ will take place on the evening of July 1st. Pre-dinner drinks will be served in the bar or on the terrace outside the dining room if the weather is pleasant. The Node makes tea and coffee available throughout the day in the Bar and in the meeting rooms. Please help yourself. Coffee will be available during the coffee breaks in the Sponsor Room located directly opposite the main event room. June 30th- Setting the Scene 15:30 Tea/Coffee/Registration 16:15 Introduction Chris Jones 16:45 GRID Computing Prof. Tony Hey Professor Tony Hey, Director UK e -Science Core Programme and Editor of recent book on GRID Computing. For more information see: http://www.ecs.soton.ac.uk/~ajgh http://www.research-councils.ac.uk/escience 17:30 Particle Physics GRIDS Prof. Hans Hoffmann Director for Technology Transfer and Scientific Computing in the CERN directorate, responsible for the LHC Computing Grid. For more information see: http://www.twgrid.org/event/isgc2003/cv/hoffmann.pdf 18:15 BIRN Prof. Mark Ellisman Professor Mark Ellisman, Department of Neurosciences, UCSD, and Principal Investigator, Biomedical Information Research Network (BIRN). For more information see: http://www.sdsc.edu/Partners/Fellows/bios/mellisman.html 19:00 Open Discussion “Where do we want to go?” Chris Jones & Howard Bilofsky 19:30 Aperitifs 20:00 Dinner July 1st- The State of the Art 08:30 Chairman's Remarks Rene Ziegler 08:45 EU Funding for the GRID and directions Dr. -
Constraint-Based Pattern Mining from Classic Pattern Domains to More Sophisticated Ones
Constraint-Based Pattern Mining From classic pattern domains to more sophisticated ones Marc Plantevit October 2016 Universit´eClaude Bernard Lyon 1 { LIRIS CNRS UMR5205 * Slides from the ´eEGClecture. About me. [email protected] or [email protected] Associate Professor Computer Science Dept. University Claude Bernard Lyon 1. Lab: LIRIS UMR 5205 Team: Data Mining & Machine Learning Research Interest: Fondations of constraint-based pattern mining, sequences, augmented graphs. Before: Ph.D from University Montpellier II (LIRMM), Post-Doc at Univ. Caen (GREYC). M. Plantevit Constraint-Based Pattern Mining 2 / 118 N Introduction Outline 1 Introduction 2 Frequent Itemset Mining Frequent Itemset Mining Condensed Representations 3 Constraint-based Pattern Mining Constraint properties Algorithmic principles Constraint-based pattern mining with preferences 4 Toward More Sophisticated Pattern Domains Sequence, graphs, dense subgraphs Attributed Graph Mining 5 Conclusion M. Plantevit Constraint-Based Pattern Mining 3 / 118 N Introduction Evolution of Sciences Before 1600: Empirical Science Babylonian mathematics: 4 basis operations done with tablets and the resolution of practical problems based on words describing all the steps. ) that worked and they manage to solve 3 degree equations. Ancient Egypt: No theorization of algorithms. We give only examples made empirically, certainly repeated by students and scribes. Empirical knowledge, transmitted as such, and not a rational mathematical science. Aristotle also produced many biological writings that were empirical in nature, focusing on biological causation and the diversity of life. He made countless observations of nature, especially the habits and attributes of plants and animals in the world around him, classified more than 540 animal species, and dissected at least 50.