June 2014 Society Meetings Society and Events SHEPHARD PRIZE: NEW PRIZE Meetings for MATHEMATICS 2014 and Events Following a Very Generous Tions Open in Late 2014
Total Page：16
File Type：pdf, Size：1020Kb
Load more
Recommended publications
-
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. -
6 X 10.5 Long Title.P65
Cambridge University Press 978-0-521-14735-4 - Probability on Graphs: Random Processes on Graphs and Lattices Geoffrey Grimmett Frontmatter More information Probability on Graphs This introduction to some of the principal models in the theory of disordered systems leads the reader through the basics, to the very edge of contemporary research, with the minimum of technical fuss. Topics covered include random walk, percolation, self-avoiding walk, interacting particle systems, uniform spanning tree, random graphs, as well as the Ising, Potts, and random-cluster models for ferromagnetism, and the Lorentz model for motion in a random medium. Schramm–Lowner¨ evolutions (SLE) arise in various contexts. The choice of topics is strongly motivated by modern applications and focuses on areas that merit further research. Special features include a simple account of Smirnov’s proof of Cardy’s formula for critical percolation, and a fairly full account of the theory of influence and sharp-thresholds. Accessible to a wide audience of mathematicians and physicists, this book can be used as a graduate course text. Each chapter ends with a range of exercises. geoffrey grimmett is Professor of Mathematical Statistics in the Statistical Laboratory at the University of Cambridge. © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-0-521-14735-4 - Probability on Graphs: Random Processes on Graphs and Lattices Geoffrey Grimmett Frontmatter More information INSTITUTE OF MATHEMATICAL STATISTICS TEXTBOOKS Editorial Board D. R. Cox (University of Oxford) B. Hambly (University of Oxford) S. Holmes (Stanford University) X.-L. Meng (Harvard University) IMS Textbooks give introductory accounts of topics of current concern suitable for advanced courses at master’s level, for doctoral students and for individual study. -
Stability Conditions and the A2 Quiver 10
STABILITY CONDITIONS AND THE A2 QUIVER TOM BRIDGELAND, YU QIU AND TOM SUTHERLAND Abstract. For each integer n > 2 we describe the space of stability conditions on the derived category of the n-dimensional Ginzburg algebra associated to the A2 quiver. The form of our results points to a close relationship between these spaces and the Frobenius- Saito structure on the unfolding space of the A2 singularity. 1. Introduction In this paper we study spaces of stability conditions [2] on the sequence of CYn trian- gulated categories Dn associated to the A2 quiver. Our main result is Theorem 1.1 below. There are several striking features. Firstly, we obtain uniform results for all n > 2: the space of stability conditions quotiented by the action of the spherical twists is independent of n, although the identification maps are highly non-trivial. Secondly, there is a close link between our spaces of stability conditions and the Frobenius-Saito structure on the unfolding space of the A2 singularity: in fact this structure is precisely what encodes the identifications between our stability spaces for various n. A third interesting feature is that the space of stability conditions on the derived category of the path algebra of the A2 quiver arises as a kind of limit of the spaces for the categories Dn as n ! 1. 1.1. Statement of results. For each integer n > 2 we let Dn = DCYn (A2) denote the bounded derived category of the CYn complex Ginzburg algebra associated to the A2 quiver. It is a triangulated category of finite type over C, and is characterised by the following two properties: (a) It is CYn, i.e. -
9 June–21 June 2015 Talks/Exhibitions/Theatre/Music/Film Yorkfestivalofideas.Com
9 June–21 June 2015 Talks/Exhibitions/Theatre/Music/Film yorkfestivalofideas.com Preview From Friday 29 May look out for the special preview events including Michael Morpurgo, Goalball and Science out of the Lab YORK FESTIVAL OF IDEAS 2015 HEADLINE SPONSOR As a continuing Headline Sponsor, The Holbeck Charitable Trust is delighted to see York Festival of Ideas go from strength to strength. The programme for 2015 offers a stimulating and diverse series of events, workshops, talks, performances and exhibitions. We applaud the Festival’s determination to remain as widely accessible as practicable by staging so many events where entry is free. We are proud to support the team’s ambition to develop a festival which, in time, should become a mainstay of the national cultural calendar. 2 yorkfestivalofideas.com York Festival of Ideas 2015 Contents EXPLORING IDEAS OF Calendar of events 4 SECRETS AND DISCOVERIES Festival launch 10 FESTIVAL THEMES Curiouser and Curiouser 11 Welcome to the world of ‘Secrets and doing so we are stronger and more captivating. Discovering York 16 The Art of Communication 20 Discoveries’ seen through the lens of York Most of all we believe that we are a more Festival of Ideas. A world where audiences of compelling festival because our audiences are Science out of the Lab 24 all ages and interests can participate in over driven by an innate sense of curiosity. It is Revealing the Ancient World 26 100 free events encompassing art and design, notable that every year high-profile speakers, Eoforwic 28 the economy and equality, food and health, who regularly speak at international festivals, Behind the Lens 34 performance and poetry, the past and the comment on the originality and intelligence of Hidden Histories 36 future, security and surveillance, truth and the questions they are asked by York Festival of Culture and Identity 40 trust, technology and the environment, and Ideas audiences. -
JPBM Communications Award Is Given to He Takes a Particular Interest in Problems That Lie Ian Stewart of the University of Warwick
comm-jpbm.qxp 3/5/99 3:49 PM Page 568 JPBM Awards Presented in San Antonio The Joint Policy Board for Mathematics (JPBM) The sheer volume of this work is staggering, but Communications Award was established in 1988 the quality is spectacular as well. With clarity and to reward and encourage journalists and other humor, Ian Stewart explains everything from num- communicators who, on a sustained basis, bring ber theory to fractals, from Euclidean geometry to accurate mathematical information to nonmathe- fluid dynamics, from game theory to foundations. matical audiences. Any person is eligible as long He conveys both the beauty and the utility of math- as that person’s work communicates primarily ematics in a way seldom achieved by a single au- with nonmathematical audiences. The lifetime thor, and he does so with charm and eloquence. award recognizes a significant contribution or ac- cumulated contributions to public understanding Biographical Sketch of mathematics. Ian Stewart was born in 1945, did his undergrad- At the Joint Mathematics Meetings in San An- uate degree at Cambridge, and his Ph.D. at Warwick. tonio in January 1999, the 1999 JPBM Communi- He is now a professor at Warwick University and cations Award was presented to IAN STEWART. Below director of the Mathematics Awareness Centre at is the award citation, a biographical sketch, and Warwick. He has held visiting positions in Ger- Stewart’s response upon receiving the award. This many, New Zealand, Connecticut, and Texas. He has is followed by information about a JPBM Special published over 120 papers. His present field is Communications Award presented to JOHN LYNCH the effects of symmetry on nonlinear dynamics, and SIMON SINGH. -
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. -
Graduation 2014. Monday 21 July 2014 the University of Sheffield
Graduation 2014. Monday 21 July 2014 The University of Sheffield Your graduation day is a special day for you and your family, a day for celebrating your achievements and looking forward to a bright future. As a graduate of the University of Sheffield you have every reason to be proud. You are joining a long tradition of excellence stretching back more than 100 years. The University of Sheffield was founded with the amalgamation of the School of Medicine, Sheffield Technical School and Firth College. In 1905, we received a Royal Charter and Firth Court was officially opened by King Edward VII and Queen Alexandra. At that time, there were 363 students reading for degrees in arts, pure science, medicine and applied science. By the time of our centenary, there were over 25,000 students from more than 100 countries, across 70 academic departments. Today, a degree from Sheffield is recognised all over the world as a hallmark of academic excellence. We are proud of our graduates and we are confident that you will make a difference wherever you choose to build your future. With every generation of graduates, our university goes from strength to strength. This is the original fundraising poster from 1904/1905 which helped raise donations for the University of Sheffield. Over £50,000 (worth more than £15 million today) was donated by steelworkers, coal miners, factory workers and the people of Sheffield in penny donations to help found the University. A century on, the University is now rated as one of the top world universities – according to the Shanghai Jiao Tong Academic Ranking of World Universities. -
3-Manifold Groups
3-Manifold Groups Matthias Aschenbrenner Stefan Friedl Henry Wilton University of California, Los Angeles, California, USA E-mail address: [email protected] Fakultat¨ fur¨ Mathematik, Universitat¨ Regensburg, Germany E-mail address: [email protected] Department of Pure Mathematics and Mathematical Statistics, Cam- bridge University, United Kingdom E-mail address: [email protected] Abstract. We summarize properties of 3-manifold groups, with a particular focus on the consequences of the recent results of Ian Agol, Jeremy Kahn, Vladimir Markovic and Dani Wise. Contents Introduction 1 Chapter 1. Decomposition Theorems 7 1.1. Topological and smooth 3-manifolds 7 1.2. The Prime Decomposition Theorem 8 1.3. The Loop Theorem and the Sphere Theorem 9 1.4. Preliminary observations about 3-manifold groups 10 1.5. Seifert fibered manifolds 11 1.6. The JSJ-Decomposition Theorem 14 1.7. The Geometrization Theorem 16 1.8. Geometric 3-manifolds 20 1.9. The Geometric Decomposition Theorem 21 1.10. The Geometrization Theorem for fibered 3-manifolds 24 1.11. 3-manifolds with (virtually) solvable fundamental group 26 Chapter 2. The Classification of 3-Manifolds by their Fundamental Groups 29 2.1. Closed 3-manifolds and fundamental groups 29 2.2. Peripheral structures and 3-manifolds with boundary 31 2.3. Submanifolds and subgroups 32 2.4. Properties of 3-manifolds and their fundamental groups 32 2.5. Centralizers 35 Chapter 3. 3-manifold groups after Geometrization 41 3.1. Definitions and conventions 42 3.2. Justifications 45 3.3. Additional results and implications 59 Chapter 4. The Work of Agol, Kahn{Markovic, and Wise 63 4.1. -
Manifold Destiny: the New Yorker
Annals of Mathematics: Manifold Destiny: The New Yorker http://www.newyorker.com/archive/2006/08/28/060828fa_fact2?pr... ANNALS OF MATHEMATICS MANIFOLD DESTINY A legendary problem and the battle over who solved it. by Sylvia Nasar and David Gruber AUGUST 28, 2006 n the evening of June 20th, several hundred physicists, including a O Nobel laureate, assembled in an auditorium at the Friendship Hotel in Beijing for a lecture by the Chinese mathematician Shing-Tung Yau. In the late nineteen-seventies, when Yau was in his twenties, he had made a series of breakthroughs that helped launch the string-theory revolution in physics and earned him, in addition to a Fields Medal—the most coveted award in mathematics—a reputation in both disciplines as a thinker of unrivalled technical power. Yau had since become a professor of mathematics at Harvard and the director of mathematics institutes in Beijing and Hong Kong, dividing his time between the United States and China. His lecture at the Friendship Hotel was part of an international conference on string theory, which he had organized with the support of the Chinese government, in part to promote the country’s recent advances in theoretical physics. (More than six thousand students attended the keynote address, which was delivered by Yau’s close friend Stephen Hawking, in the Great Hall of the People.) The subject of Yau’s talk was something that few in his audience knew much about: the Poincaré conjecture, a century-old conundrum about the characteristics of three-dimensional spheres, which, because it has important implications for mathematics and cosmology and because it has eluded all attempts at solution, is regarded by mathematicians as a holy grail. -
Probability on Graphs Random Processes on Graphs and Lattices
Probability on Graphs Random Processes on Graphs and Lattices GEOFFREY GRIMMETT Statistical Laboratory University of Cambridge c G. R. Grimmett 1/4/10, 17/11/10, 5/7/12 Geoffrey Grimmett Statistical Laboratory Centre for Mathematical Sciences University of Cambridge Wilberforce Road Cambridge CB3 0WB United Kingdom 2000 MSC: (Primary) 60K35, 82B20, (Secondary) 05C80, 82B43, 82C22 With 44 Figures c G. R. Grimmett 1/4/10, 17/11/10, 5/7/12 Contents Preface ix 1 Random walks on graphs 1 1.1 RandomwalksandreversibleMarkovchains 1 1.2 Electrical networks 3 1.3 Flowsandenergy 8 1.4 Recurrenceandresistance 11 1.5 Polya's theorem 14 1.6 Graphtheory 16 1.7 Exercises 18 2 Uniform spanning tree 21 2.1 De®nition 21 2.2 Wilson's algorithm 23 2.3 Weak limits on lattices 28 2.4 Uniform forest 31 2.5 Schramm±LownerevolutionsÈ 32 2.6 Exercises 37 3 Percolation and self-avoiding walk 39 3.1 Percolationandphasetransition 39 3.2 Self-avoiding walks 42 3.3 Coupledpercolation 45 3.4 Orientedpercolation 45 3.5 Exercises 48 4 Association and in¯uence 50 4.1 Holley inequality 50 4.2 FKGinequality 53 4.3 BK inequality 54 4.4 Hoeffdinginequality 56 c G. R. Grimmett 1/4/10, 17/11/10, 5/7/12 vi Contents 4.5 In¯uenceforproductmeasures 58 4.6 Proofsofin¯uencetheorems 63 4.7 Russo'sformulaandsharpthresholds 75 4.8 Exercises 78 5 Further percolation 81 5.1 Subcritical phase 81 5.2 Supercritical phase 86 5.3 Uniquenessofthein®nitecluster 92 5.4 Phase transition 95 5.5 Openpathsinannuli 99 5.6 The critical probability in two dimensions 103 5.7 Cardy's formula 110 5.8 The -
September 2014
LONDONLONDON MATHEMATICALMATHEMATICAL SOCIETYSOCIETY NEWSLETTER No. 439 September 2014 Society Meetings HIGHEST HONOUR FOR UK and Events MATHEMATICAN Professor Martin Hairer, FRS, 2014 University of Warwick, has become the ninth UK based Saturday mathematician to win the 6 September prestigious Fields Medal over Mathematics and the its 80 year history. The medal First World War recipients were announced Meeting, London on Wednesday 13 August in page 15 a ceremony at the four-year- ly International Congress for 1 Wednesday Mathematicians, which on this 24 September occasion was held in Seoul, South Korea. LMS Popular Lectures See page 4 for the full report. Birmingham page 12 Friday LMS ANNOUNCES SIMON TAVARÉ 14 November AS PRESIDENT-DESIGNATE LMS AGM © The University of Cambridge take over from the London current President, Professor Terry Wednesday Lyons, FRS, in 17 December November 2015. SW & South Wales Professor Tavaré is Meeting a versatile math- Plymouth ematician who has established a distinguished in- ternational career culminating in his current role as The London Mathematical Director of the Cancer Research Society is pleased to announce UK Cambridge Institute and Professor Simon Tavaré, Professor in DAMTP, where he NEWSLETTER FRS, FMedSci, University of brings his understanding of sto- ONLINE: Cambridge, as President-Des- chastic processes and expertise newsletter.lms.ac.uk ignate. Professor Tavaré will in the data science of DNA se- (Cont'd on page 3) LMS NEWSLETTER http://newsletter.lms.ac.uk Contents No. 439 September 2014 15 44 Awards Partial Differential Equations..........................37 Collingwood Memorial Prize..........................11 Valediction to Jeremy Gray..............................33 Calendar of Events.......................................50 News LMS Items European News.................................................16 HEA STEM Strategic Project........................... -
Annual Report 2017-2018
Annual Review 2017 | 2018 ONTENTS C 1 Overview 1 2 Profile 4 3 Research 6 4 Events 9 5 Personnel 13 6 Mentoring 17 7 Structures 18 APPENDICES R1 Highlighted Papers 20 R2 Complete List of Papers 23 E1 HIMR-run Events 29 E2 HIMR-sponsored Events 31 E3 Focused Research Events 39 E4 Future Events 54 P1 Fellows Joining in 2017|2018 59 P2 Fellows Leaving since September 2017 60 P3 Fellows Moving with 3-year Extensions 62 P4 Future Fellows 63 M1 Mentoring Programme 64 1. Overview This has been another excellent year for the Heilbronn Institute, which is now firmly established as a major national mathematical research centre. HIMR has developed a strong brand and is increasingly influential in the UK mathematics community. There is currently an outstanding cohort of Heilbronn Research Fellows doing first-rate research. Recruitment of new Fellows has been most encouraging, as is the fact that many distinguished academic mathematicians continue to work with the Institute. The research culture at HIMR is excellent. Members have expressed a high level of satisfaction. This is especially the case with the Fellows, many of whom have chosen to continue their relationships with the Institute. Our new Fellows come from leading mathematics departments and have excellent academic credentials. Those who left have moved to high-profile groups, including several to permanent academic positions. We currently have 29 Fellows, hosted by 6 universities. We are encouraged by the fact that of the 9 Fellows joining us this year, 5 are women. The achievements of our Fellows this year again range from winning prestigious prizes to publishing in the elite mathematical journals and organising major mathematical meetings.