Januar 2007 FØRSTE DOKTORGRAD I
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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. -
Press Release
Press release 13 August 2014 Two Fields Medals 2014 awarded to ERC laureates The 2014 Fields Medals were awarded today to four outstanding mathematicians, of whom two are grantees of the European Research Council (ERC): Prof. Artur Avila (Brazil-France), an ERC Starting grant holder since 2010, and Prof. Martin Hairer (Austria) has been selected for funding under an ERC Consolidator grant in 2013. They received the prize respectively for their work on dynamical systems and probability, and on stochastic analysis. The other two laureates are Prof. Manjul Barghava (Canada-US) and Prof. Maryam Mirzakhani (Iran). The Medals were announced at the International Congress of Mathematicians (ICM) taking place from 13 – 21 August in Seoul, South Korea. On the occasion of the announcement, ERC President Prof. Jean-Pierre Bourguignon, a mathematician himself, said: “On behalf of the ERC Scientific Council, I would like to congratulate warmly all four Fields Medallists for their outstanding contributions to the field of mathematics. My special congratulations go to Artur Avila and Martin Hairer, who are both brilliant scientists supported by the ERC. We are happy to see that their remarkable talent in the endless frontiers of science has been recognised. The Fields Medals awarded today are also a sign that the ERC continues to identity and fund the most promising researchers across Europe; this is true not only in mathematics but in all scientific disciplines.” EU Commissioner for Research, Innovation and Science, Máire Geoghegan-Quinn, said: “I would like to congratulate the four laureates of the Fields Medal announced today. The Fields Medal, the highest international distinction for young mathematicians, is a well- deserved honour for hardworking and creative young researchers who push the boundaries of knowledge. -
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. -
Learning from Fields Medal Winners
TechTrends DOI 10.1007/s11528-015-0011-6 COLUMN: RETHINKING TECHNOLOGY & CREATIVITY IN THE 21ST CENTURY Creativity in Mathematics and Beyond – Learning from Fields Medal Winners Rohit Mehta1 & Punya Mishra1 & Danah Henriksen2 & the Deep-Play Research Group # Association for Educational Communications & Technology 2016 For mathematicians, mathematics—like music, poetry, advanced mathematics through their work in areas as special- or painting—is a creative art. All these arts involve— ized and diverse as dynamical systems theory, the geometry of and indeed require—a certain creative fire. They all numbers, stochastic partial differential equations, and the dy- strive to express truths that cannot be expressed in ordi- namical geometry of Reimann surfaces. nary everyday language. And they all strive towards An award such as the Fields Medal is a recognition of beauty — Manjul Bhargava (2014) sustained creative effort of the highest caliber in a challenging Your personal life, your professional life, and your cre- domain, making the recipients worthy of study for scholars ative life are all intertwined — Skylar Grey interested in creativity. In doing so, we continue a long tradi- tion in creativity research – going all the way back to Galton in Every 4 years, the International Mathematical Union rec- the 19th century – of studying highly accomplished individ- ognizes two to four individuals under the age of 40 for their uals to better understand the nature of the creative process. We achievements in mathematics. These awards, known as the must point out that the focus of creativity research has shifted Fields Medal, have often been described as the “mathemati- over time, moving from an early dominant focus on genius, cian’s Nobel Prize” and serve both a form of peer-recognition towards giftedness in the middle of the 20th century, to a more of highly influential and creative mathematical work, as well contemporary emphasis on originality of thought and work as an encouragement of future achievement. -
Read Press Release
The Work of Artur Avila Artur Avila has made outstanding contributions to dynamical systems, analysis, and other areas, in many cases proving decisive results that solved long-standing open problems. A native of Brazil who spends part of his time there and part in France, he combines the strong mathematical cultures and traditions of both countries. Nearly all his work has been done through collaborations with some 30 mathematicians around the world. To these collaborations Avila brings formidable technical power, the ingenuity and tenacity of a master problem-solver, and an unerring sense for deep and significant questions. Avila's achievements are many and span a broad range of topics; here we focus on only a few highlights. One of his early significant results closes a chapter on a long story that started in the 1970s. At that time, physicists, most notably Mitchell Feigenbaum, began trying to understand how chaos can arise out of very simple systems. Some of the systems they looked at were based on iterating a mathematical rule such as 3x(1−x). Starting with a given point, one can watch the trajectory of the point under repeated applications of the rule; one can think of the rule as moving the starting point around over time. For some maps, the trajectories eventually settle into stable orbits, while for other maps the trajectories become chaotic. Out of the drive to understand such phenomena grew the subject of discrete dynamical systems, to which scores of mathematicians contributed in the ensuing decades. Among the central aims was to develop ways to predict long-time behavior. -
A Free-Space Adaptive Fmm-Based Pde Solver in Three Dimensions M.Harper Langston, Leslie Greengardand Denis Zorin
Communications in Applied Mathematics and Computational Science A FREE-SPACE ADAPTIVE FMM-BASED PDE SOLVER IN THREE DIMENSIONS M. HARPER LANGSTON, LESLIE GREENGARD AND DENIS ZORIN vol. 6 no. 1 2011 mathematical sciences publishers COMM. APP. MATH. AND COMP. SCI. Vol. 6, No. 1, 2011 msp A FREE-SPACE ADAPTIVE FMM-BASED PDE SOLVER IN THREE DIMENSIONS M. HARPER LANGSTON, LESLIE GREENGARD AND DENIS ZORIN We present a kernel-independent, adaptive fast multipole method (FMM) of arbi- trary order accuracy for solving elliptic PDEs in three dimensions with radiation and periodic boundary conditions. The algorithm requires only the ability to evaluate the Green’s function for the governing equation and a representation of the source distribution (the right-hand side) that can be evaluated at arbitrary points. The performance is accelerated in three ways. First, we construct a piecewise polynomial approximation of the right-hand side and compute far-field expansions in the FMM from the coefficients of this approximation. Second, we precompute tables of quadratures to handle the near-field interactions on adaptive octree data structures, keeping the total storage requirements in check through the exploitation of symmetries. Third, we employ shared-memory parallelization methods and load-balancing techniques to accelerate the major algorithmic loops of the FMM. We present numerical examples for the Laplace, modified Helmholtz and Stokes equations. 1. Introduction Many problems in scientific computing call for the efficient solution to linear partial differential equations with constant coefficients. On regular grids with separable Dirichlet, Neumann or periodic boundary conditions, such equations can be solved using fast, direct methods. -
Rev. Acad. Colomb. Cienc. Ex. Fis. Nat. 41(160):399-400, Julio-Septiembre De 2017
Rev. Acad. Colomb. Cienc. Ex. Fis. Nat. 41(160):399-400, julio-septiembre de 2017 400 ISSN 0370-3908 eISSN 2382-4980 Academia Colombiana de Ciencias Exactas, Físicas y Naturales Vol. 41 • Número 160 • Págs. 269-412 • Julio - Septiembre de 2017 · Bogotá - Colombia Comité editorial Editora Elizabeth Castañeda, Ph. D. Instituto Nacional de Salud, Bogotá, Colombia Editores asociados Ciencias Biomédicas Ciencias Físicas Luis Fernando García, M.D., M.Sc. Pedro Fernández de Córdoba, Ph. D. Universidad de Antioquia, Medellin, Colombia Universidad Politécnica de Valencia, España Gustavo Adolfo Vallejo, Ph. D. Diógenes Campos Romero, Dr. rer. nat. Universidad del Tolima, Ibagué, Colombia Universidad Nacional de Colombia, Luis Caraballo, Ph. D. Bogotá, Colombia Universidad de Cartagena, Cartagena, Colombia Román Eduardo Castañeda, Dr. rer. nat. Juanita Ángel, Ph. D. Universidad Nacional, Medellín, Colombia Pontificia Universidad Javeriana, María Elena Gómez, Doctor Bogotá, Colombia Universidad del Valle, Cali Manuel Franco, Ph. D. Gabriel Téllez, Ph. D. Pontificia Universidad Javeriana, Bogotá, Colombia Universidad de los Andes, Bogotá, Colombia Alberto Gómez, Ph. D. Jairo Roa-Rojas, Ph. D. Pontificia Universidad Javeriana, Universidad Nacional de Colombia, Bogotá, Colombia Bogotá, Colombia John Mario González, Ph. D. Ángela Stella Camacho Beltrán, Dr. rer. nat. Universidad de los Andes, Bogotá, Colombia Universidad de los Andes, Bogotá, Colombia Ciencias del Comportamiento Hernando Ariza Calderón, Doctor Guillermo Páramo, M.Sc. Universidad del Quindío, Armenia, Colombia Universidad Central, Bogotá, Colombia Edgar González, Ph. D. Rubén Ardila, Ph. D. Pontificia Universidad Javeriana, Universidad Nacional de Colombia, Bogotá, Colombia Bogotá, Colombia Guillermo González, Ph. D. Fernando Marmolejo-Ramos, Ph. D. Universidad Industrial de Santander, Universidad de Adelaide, Adelaide, Australia Bucaramanga, Colombia Ciencias Naturales Ligia Sierra, Ph. -
Administrative and Statistical Areas English Version – SOSI Standard 4.0
Administrative and statistical areas English version – SOSI standard 4.0 Administrative and statistical areas Norwegian Mapping Authority [email protected] Norwegian Mapping Authority June 2009 Page 1 of 191 Administrative and statistical areas English version – SOSI standard 4.0 1 Applications schema ......................................................................................................................7 1.1 Administrative units subclassification ....................................................................................7 1.1 Description ...................................................................................................................... 14 1.1.1 CityDistrict ................................................................................................................ 14 1.1.2 CityDistrictBoundary ................................................................................................ 14 1.1.3 SubArea ................................................................................................................... 14 1.1.4 BasicDistrictUnit ....................................................................................................... 15 1.1.5 SchoolDistrict ........................................................................................................... 16 1.1.6 <<DataType>> SchoolDistrictId ............................................................................... 17 1.1.7 SchoolDistrictBoundary ........................................................................................... -
International Congress of Mathematicians
International Congress of Mathematicians Hyderabad, August 19–27, 2010 Abstracts Plenary Lectures Invited Lectures Panel Discussions Editor Rajendra Bhatia Co-Editors Arup Pal G. Rangarajan V. Srinivas M. Vanninathan Technical Editor Pablo Gastesi Contents Plenary Lectures ................................................... .. 1 Emmy Noether Lecture................................. ................ 17 Abel Lecture........................................ .................... 18 Invited Lectures ................................................... ... 19 Section 1: Logic and Foundations ....................... .............. 21 Section 2: Algebra................................... ................. 23 Section 3: Number Theory.............................. .............. 27 Section 4: Algebraic and Complex Geometry............... ........... 32 Section 5: Geometry.................................. ................ 39 Section 6: Topology.................................. ................. 46 Section 7: Lie Theory and Generalizations............... .............. 52 Section 8: Analysis.................................. .................. 57 Section 9: Functional Analysis and Applications......... .............. 62 Section 10: Dynamical Systems and Ordinary Differential Equations . 66 Section 11: Partial Differential Equations.............. ................. 71 Section 12: Mathematical Physics ...................... ................ 77 Section 13: Probability and Statistics................. .................. 82 Section 14: Combinatorics........................... -
Reguleringsplan for Sentrale Deler Av Eidsvoll Verk” Planbeskrivelse Til Reguleringsplanen
”REGULERINGSPLAN FOR SENTRALE DELER AV EIDSVOLL VERK” PLANBESKRIVELSE TIL REGULERINGSPLANEN Datert 01.06.06 revidert 23.05.07 1 1. BAKGRUNN 1.1 Forslagsstiller/oppdragsgiver Eidsvoll kommune har med bakgrunn i kommuneplan for Eidsvoll kommune 2003 – 2014 igangsatt arbeid med ”Reguleringsplan for sentrale deler av Eidsvoll Verk”. 1.2 Forhistorie Sentrale deler av Eidsvoll Verk området er i kommuneplan for Eidsvoll kommune båndlagt til ”Kulturminnevern- /kulturlandskapsområde”. Under pkt. 4.5.3.2 i kommuneplanen står det følgende: ”Arbeidet med utarbeidelse av en kulturvernplan for Eidsvoll kommune, der det velges ut hva som skal bevares av fortiden og hvordan den skal dokumenteres, skal fullføres i planperioden. Dette arbeidet vil omfatte så vel materielle som immaterielle kulturminner og kulturlandskap. I denne planen må inngå regulering til spesialområde med formål bevaring av følgende områder i prioritert rekkefølge: 1. Området og landskapet ved Eidsvollsbygningen og det planlagte Eidsvoll 1814 – Rikspolitisk senter (under arbeid). 2. Området og landskapet ved Feiring Jernverk, samt veg til området. 3. Området og landskapet ved Brøstadgruva i Gullverket.” I hht. veiledende bestemmelser til kommuneplanen kan arbeid og tiltak ikke finne sted før området inngår i reguleringsplan. Formannskapet har etterspurt framdrift på arbeid med reguleringsplan for området. 1.3 Hensikten med planen Hovedhensikten med utarbeidelse av reguleringsplanen er å sikre de kulturhistoriske verdier, og at utviklingen i området skjer innenfor rammen av det historiske bygningsmiljøet og stedskarakteren. Det er viktig å ivareta helheten og synliggjøre sammenhengen mellom Eidsvollsbygningen, den gamle industribebyggelsen, øvrig bebyggelse og landskapet rundt. Plan og bestemmelser skal gi rettslig vern som sikrer det enkelte kulturminnet og landskapet mot uønskede inngrep. -
September 2015 – Årg
Nr. 2 – September 2015 – Årg. 35 Utgitt av pensjonister ved Frogn seniorsenter LEDER Nr. 2/2015 – Årgang 35 Flere til å gå med bladet www.pensjonistnytt.org Frogn seniorsenters Pensjonist-nytt utgis av Pensjonist-nytts opplag er nå 2.500 eksemplarer. venner pensjonister ved seniorsenteret. Av disse sender vi ca. en femtedel i posten, mens De gjør arbeidet gratis. resten distribueres av frivillige hjelpere. Det skjer Kjære leser Bladet kommer ut ved at omkring 20 flittige ombærere legger bladet i 3 ganger i året – med minst postkasser rundt om i kommunen. Deres innsats har Bli medlem i foreningen 32 sider hver gang. stor betydning for oss, og vi i redaksjonen er svært Frogn seniorsenters venner! Pensjonist-nytt sendes til alle takknemlige for den flotte jobben de gjør. Alle som over 67 år i Frogn kommune etter bor i Frogn og har passert 67 år, skal få et eksemplar Årskontingenten er kun kr 120,– Ta kontakt med: lister fra folkeregisteret. Kontakt oss gjerne på e-post: av bladet, men ektepar mottar som regel bare ett Grethe Buajordet [email protected] eksemplar. Foreningen innbyr til hyggekvelder telefon 64 93 19 90, eller REDAKTØR: Ombærerne sparer oss for portoutgifter og vår og høst – noen ganger også med seniorsenteret Sven Lindblad ✆ 64 93 29 84 bidrar vesentlig til å holde kostnadene nede. Men dans. Likeså er det arrangementer telefon 64 90 61 85, Mobil 46 93 54 33 arbeidsmengden er ujevnt fordelt, og vi ønsker å 17. mai og sankthans. så får du tilsendt innbetalings- REDAKSJONSKOMITE: rekruttere flere frivillige som kan delta i distribusjonen. -
Professor I Hemmelig Tjeneste
Professor i hemmelig tjeneste Matematikeren, datapioneren og kryptologen Ernst Sejersted Selmer Øystein Rygg Haanæs 1 Forord Denne populærvitenskapelige biografien er skrevet på oppdrag fra Universitetet i Bergen og Nasjonal sikkerhetsmyndighet for å markere at det er 100 år siden Ernst Sejersted Selmer ble født. La meg være helt ærlig. For ni måneder siden ante jeg ikke hvem Selmer var. Det gjorde nesten ingen av mine venner og bekjente heller. Jeg har faktisk mistanke om at svært få i Norge utenfor det matematiske miljøet kjenner til navnet. Det er en skam. Fra midten av forrige århundre ble høyere utdanning i Norge reformert og åpnet for massene. Universitetet i Bergen vokste ut av kortbuksene og begynte å begå virkelig seriøs vitenskap. De første digitale computerne ble bygd og tatt i bruk i forskning og forvaltning. Norge fikk en «EDB-politikk». Alle nordmenn fikk et permanent fødselsnummer. Forsvaret etablerte en kryptologitjeneste på høyt nivå, og norsk kryptoindustri ble kapabel til å levere utstyr til NATO-alliansen. Ernst Sejersted Selmer hadde minst én finger med i spillet i alle disse prosessene. Selmer hadde lange armer og stor rekkevidde. Han satte overveldende mange spor etter seg, og denne boken er et forsøk på å gå opp disse sporene og gi Selmer den oppmerksomheten han fortjener. Enda en innrømmelse når vi først er i gang. Jeg er ikke matematiker. Det har selvsagt sine sider når oppdraget er å skrive en biografi om nettopp en matematiker. Da jeg startet arbeidet, hadde jeg ikke det minste begrep om hva en diofantisk ligning eller et skiftregister var. Heldigvis har jeg fått uvurderlig hjelp av de tidligere Selmer-studentene Christoph Kirfel og Tor Helleseth.