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TWAS Fellowships Worldwide
CDC Round Table, ICTP April 2016 With science and engineering, countries can address challenges in agriculture, climate, health TWAS’s and energy. guiding principles 2 Food security Challenges Water quality for a Energy security new era Biodiversity loss Infectious diseases Climate change 3 A Globally, 81 nations fall troubling into the category of S&T- gap lagging countries. 48 are classified as Least Developed Countries. 4 The role of TWAS The day-to-day work of TWAS is focused in two critical areas: •Improving research infrastructure •Building a corps of PhD scholars 5 TWAS Research Grants 2,202 grants awarded to individuals and research groups (1986-2015) 6 TWAS’ AIM: to train 1000 PhD students by 2017 Training PhD-level scientists: •Researchers and university-level educators •Future leaders for science policy, business and international cooperation Rapidly growing opportunities P BRAZIL A K I N D I CA I RI A S AF TH T SOU A N M KENYA EX ICO C H I MALAYSIA N A IRAN THAILAND TWAS Fellowships Worldwide NRF, South Africa - newly on board 650+ fellowships per year PhD fellowships +460 Postdoctoral fellowships +150 Visiting researchers/professors + 45 17 Programme Partners BRAZIL: CNPq - National Council MALAYSIA: UPM – Universiti for Scientific and Technological Putra Malaysia WorldwideDevelopment CHINA: CAS - Chinese Academy of KENYA: icipe – International Sciences Centre for Insect Physiology and Ecology INDIA: CSIR - Council of Scientific MEXICO: CONACYT– National & Industrial Research Council on Science and Technology PAKISTAN: CEMB – National INDIA: DBT - Department of Centre of Excellence in Molecular Biotechnology Biology PAKISTAN: ICCBS – International Centre for Chemical and INDIA: IACS - Indian Association Biological Sciences for the Cultivation of Science PAKISTAN: CIIT – COMSATS Institute of Information INDIA: S.N. -
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. -
Symmetric Products of Surfaces; a Unifying Theme for Topology
Symmetric products of surfaces; a unifying theme for topology and physics Pavle Blagojevi´c Mathematics Institute SANU, Belgrade Vladimir Gruji´c Faculty of Mathematics, Belgrade Rade Zivaljevi´cˇ Mathematics Institute SANU, Belgrade Abstract This is a review paper about symmetric products of spaces SP n(X) := n X /Sn. We focus our attention on the case of 2-manifolds X and make a journey through selected topics of algebraic topology, algebraic geometry, mathematical physics, theoretical mechanics etc. where these objects play an important role, demonstrating along the way the fundamental unity of diverse fields of physics and mathematics. 1 Introduction In recent years we have all witnessed a remarkable and extremely stimulating exchange of deep and sophisticated ideas between Geometry and Physics and in particular between quantum physics and topology. The student or a young scientist in one of these fields is often urged to master elements of the other field as quickly as possible, and to develop basic skills and intuition necessary for understanding the contemporary research in both disciplines. The topology and geometry of manifolds plays a central role in mathematics and likewise in physics. The understanding of duality phenomena for manifolds, mastering the calculus of characteristic classes, as well as understanding the role of fundamental invariants like the signature or Euler characteristic are just examples of what is on the beginning of the growing list of prerequisites for a student in these areas. arXiv:math/0408417v1 [math.AT] 30 Aug 2004 A graduate student of mathematics alone is often in position to take many spe- cialized courses covering different aspects of manifold theory and related areas before an unified picture emerges and she or he reaches the necessary level of maturity. -
Discurso De Investidura Como Doctor “Honoris Causa” Del Excmo. Sr
Discurso de investidura como Doctor “Honoris Causa” del Excmo. Sr. Simon Kirwan Donaldson 20 de enero de 2017 Your Excellency Rector Andradas, Ladies and Gentlemen: It is great honour for me to receive the degree of Doctor Honoris Causa from Complutense University and I thank the University most sincerely for this and for the splendid ceremony that we are enjoying today. This University is an ancient institution and it is wonderful privilege to feel linked, through this honorary degree, to a long line of scholars reaching back seven and a half centuries. I would like to mention four names, all from comparatively recent times. First, Eduardo Caballe, a mathematician born in 1847 who was awarded a doctorate of Science by Complutense in 1873. Later, he was a professor in the University and, through his work and his students, had a profound influence in the development of mathematics in Spain, and worldwide. Second, a name that is familiar to all of us: Albert Einstein, who was awarded a doctorate Honoris Causa in 1923. Last, two great mathematicians from our era: Vladimir Arnold (Doctor Honoris Causa 1994) and Jean- Pierre Serre (2006). These are giants of the generation before my own from whom, at whose feet---metaphorically—I have learnt. Besides the huge honour of joining such a group, it is interesting to trace one grand theme running the work of all these four people named. The theme I have in mind is the interplay between notions of Geometry, Algebra and Space. Of course Geometry begins with the exploration of the space we live in—the space of everyday experience. -
Memories of Vladimir Arnold Boris Khesin and Serge Tabachnikov, Coordinating Editors
Memories of Vladimir Arnold Boris Khesin and Serge Tabachnikov, Coordinating Editors Vladimir Arnold, an eminent mathematician of functions of two variables. Dima presented a two- our time, passed away on June 3, 2010, nine days hour talk at a weekly meeting of the Moscow before his seventy-third birthday. This article, Mathematical Society; it was very uncommon along with one in the previous issue of the Notices, for the society to have such a young speaker. touches on his outstanding personality and his Everybody ad- great contribution to mathematics. mired him, and he certainly de- Dmitry Fuchs served that. Still there was some- thing that kept Dima Arnold in My Life me at a distance Unfortunately, I have never been Arnold’s student, from him. although as a mathematician, I owe him a lot. He I belonged to was just two years older than I, and according to a tiny group of the University records, the time distance between students, led by us was still less: when I was admitted to the Sergei Novikov, Moscow State university as a freshman, he was a which studied al- sophomore. We knew each other but did not com- gebraic topology. municate much. Once, I invited him to participate Just a decade in a ski hiking trip (we used to travel during the before, Pontrya- winter breaks in the almost unpopulated northern gin’s seminar in Russia), but he said that Kolmogorov wanted him Moscow was a to stay in Moscow during the break: they were true center of the going to work together. -
Economic Perspectives
The Journal of The Journal of Economic Perspectives Economic Perspectives The Journal of Fall 2016, Volume 30, Number 4 Economic Perspectives Symposia Immigration and Labor Markets Giovanni Peri, “Immigrants, Productivity, and Labor Markets” Christian Dustmann, Uta Schönberg, and Jan Stuhler, “The Impact of Immigration: Why Do Studies Reach Such Different Results?” Gordon Hanson and Craig McIntosh, “Is the Mediterranean the New Rio Grande? US and EU Immigration Pressures in the Long Run” Sari Pekkala Kerr, William Kerr, Çag˘lar Özden, and Christopher Parsons, “Global Talent Flows” A journal of the American Economic Association What is Happening in Game Theory? Larry Samuelson, “Game Theory in Economics and Beyond” Vincent P. Crawford, “New Directions for Modelling Strategic Behavior: 30, Number 4 Fall 2016 Volume Game-Theoretic Models of Communication, Coordination, and Cooperation in Economic Relationships” Drew Fudenberg and David K. Levine, “Whither Game Theory? Towards a Theory of Learning in Games” Articles Dave Donaldson and Adam Storeygard, “The View from Above: Applications of Satellite Data in Economics” Robert M. Townsend, “Village and Larger Economies: The Theory and Measurement of the Townsend Thai Project” Amanda Bayer and Cecilia Elena Rouse, “Diversity in the Economics Profession: A New Attack on an Old Problem” Recommendations for Further Reading Fall 2016 The American Economic Association The Journal of Correspondence relating to advertising, busi- Founded in 1885 ness matters, permission to quote, or change Economic Perspectives of address should be sent to the AEA business EXECUTIVE COMMITTEE office: [email protected]. Street ad- dress: American Economic Association, 2014 Elected Officers and Members A journal of the American Economic Association Broadway, Suite 305, Nashville, TN 37203. -
1914 Martin Gardner
ΠME Journal, Vol. 13, No. 10, pp 577–609, 2014. 577 THE PI MU EPSILON 100TH ANNIVERSARY PROBLEMS: PART II STEVEN J. MILLER∗, JAMES M. ANDREWS†, AND AVERY T. CARR‡ As 2014 marks the 100th anniversary of Pi Mu Epsilon, we thought it would be fun to celebrate with 100 problems related to important mathematics milestones of the past century. The problems and notes below are meant to provide a brief tour through some of the most exciting and influential moments in recent mathematics. No list can be complete, and of course there are far too many items to celebrate. This list must painfully miss many people’s favorites. As the goal is to introduce students to some of the history of mathematics, ac- cessibility counted far more than importance in breaking ties, and thus the list below is populated with many problems that are more recreational. Many others are well known and extensively studied in the literature; however, as our goal is to introduce people to what can be done in and with mathematics, we’ve decided to include many of these as exercises since attacking them is a great way to learn. We have tried to include some background text before each problem framing it, and references for further reading. This has led to a very long document, so for space issues we split it into four parts (based on the congruence of the year modulo 4). That said: Enjoy! 1914 Martin Gardner Few twentieth-century mathematical authors have written on such diverse sub- jects as Martin Gardner (1914–2010), whose books, numbering over seventy, cover not only numerous fields of mathematics but also literature, philosophy, pseudoscience, religion, and magic. -
Academic and Professional Publishing Catalogue
Services for Booksellers Make use of the wide range of services which Cambridge offers: NewNEW! Batch Academic and Professional http://www.batch.co.uk • Standard batch service is free of charge for Booksellers Publishing Catalogue • Make a single payment for all your suppliers, saving time, bank and postage charges • See invoices on the batch system before delivery arrives New books • No more copy invoices- view invoices online and print your own • Advanced notification that deliveries are on the way • Make claims online, saving telephone calls, faxes and e-mails Bookseller website http://www.booksellers.cambridge.org • Secure online ordering • Manage your account settings and dues / backorders • Price and Availability checks and data downloads • New Title Information and Bestseller lists • Contacts and further information • Coming soon: Hotline and E-mail alerting PubEasy http://www.PubEasy.com • Cambridge is now a PubEasy affiliate! • Online ordering across multiple publishers • Online real time price and availability checks • Dues management Datashop and Catalogshop http://datashop.cambridge.org • Free, online data delivery • Define your own reports and update them online • File Formats from simple text price and availability to Onix • Delivery by e-mail or FTP • Automatic updates daily, weekly, monthly, yearly • Download all Cambridge publicity material in PDF and other formats from Catalogshop www.cambridge.org/booksellers Cambridge University Press The Edinburgh Building www.cambridge.org/booksellers JANUARY–JUNE 2006 Cambridge CB2 -
A View from the Bridge Natalie Paquette
INFERENCE / Vol. 3, No. 4 A View from the Bridge Natalie Paquette tring theory is a quantum theory of gravity.1 Albert example, supersymmetric theories require particles to Einstein’s theory of general relativity emerges natu- come in pairs. For every bosonic particle there is a fermi- rally from its equations.2 The result is consistent in onic superpartner. Sthe sense that its calculations do not diverge to infinity. Supersymmetric field theory has a disheartening String theory may well be the only consistent quantum impediment. Suppose that a supersymmetric quantum theory of gravity. If true, this would be a considerable field theory is defined on a generic curved manifold. The virtue. Whether it is true or not, string theory is indis- Euclidean metric of Newtonian physics and the Lorentz putably the source of profound ideas in mathematics.3 metric of special relativity are replaced by the manifold’s This is distinctly odd. A line of influence has always run own metric. Supercharges correspond to conserved Killing from mathematics to physics. When Einstein struggled spinors. Solutions to the Killing spinor equations are plen- to express general relativity, he found the tools that he tiful in a flat space, but the equations become extremely needed had been created sixty years before by Bernhard restrictive on curved manifolds. They are so restrictive Riemann. The example is typical. Mathematicians discov- that they have, in general, no solutions. Promoting a flat ered group theory long before physicists began using it. In supersymmetric field theory to a generic curved mani- the case of string theory, it is often the other way around. -
November 2014
LONDONLONDON MATHEMATICALMATHEMATICAL SOCIETYSOCIETY NEWSLETTER No. 441 November 2014 Society Meetings ELECTIONS TO COUNCIL AND and Events NOMINATING COMMITTEE 2014 Members should now have for the election can be found on 2014 received a communication from the LMS website at www.lms. Friday the Electoral Reform Society (ERS) ac.uk/about/council/lms-elections. 14 November for both e-voting and paper ballot. For both electronic and postal LMS AGM For online voting, members may voting the deadline for receipt Naylor Lecture cast a vote by going to www. of votes is Thursday 6 November. London votebyinternet.com/LMS2014 and Members may still cast a vote in page 7 using the two part security code person at the AGM, although an Wednesday on the email sent by the ERS and in-person vote must be cast via a 17 December also on their ballot paper. paper ballot. 1 SW & South Wales All members are asked to look Members may like to note that Regional Meeting out for communication from an LMS Election blog, moderated Plymouth page 27 the ERS. We hope that as many by the Scrutineers, can be members as possible will cast their found at http://discussions.lms. 2015 vote. If you have not received ac.uk/elections2014. ballot material, please contact Friday 16 January [email protected], con- Future Elections 150th Anniversary firming the address (post or email) Members are invited to make sug- Launch, London page 9 to which you would like material gestions for nominees for future sent. election to Council. These should Friday 27 February With respect to the election itself, be addressed to the Nominat- Mary Cartwright there are ten candidates proposed ing Committee (nominations@ Lecture, London for six vacancies for Member-at- lms.ac.uk). -
Stability of Tangent Bundles of Complete Intersections and Effective
STABILITY OF TANGENT BUNDLES OF COMPLETE INTERSECTIONS AND EFFECTIVE RESTRICTION JIE LIU ABSTRACT. For n ≥ 3, let M be an (n + r)-dimensional irreducible Hermitian symmetric space of compact type and let OM(1) be the ample generator of Pic(M). Let Y = H1 ∩···∩ Hr be a smooth complete intersection of dimension n where Hi ∈ |OM(di)| with di ≥ 2. We prove a vanishing theorem for twisted holomor- phic forms on Y. As an application, we show that the tangent bundle TY of Y is stable. Moreover, if X is a smooth hypersurface of degree d in Y such that the restriction Pic(Y) → Pic(X) is surjective, we establish some effective results for d to guarantee the stability of the restriction TY|X. In particular, if Y is a general n+1 hypersurface in P and X is general smooth divisor in Y, we show that TY|X is stable except for some well-known examples. We also address the cases where the Picard group increases by restriction. CONTENTS 1. Introduction 1 2. Hermitian symmetric spaces and Lefschetz properties 5 3. Twisted (n − 1)-forms and special cohomologies 7 4. Extension of twisted vector fields 10 5. Stability and effective restriction with invariant Picard group 14 6. Hyperplane of cubic threefolds 20 Reference 25 1. INTRODUCTION arXiv:1711.03413v3 [math.AG] 22 Oct 2018 It has been one of main problems in K¨ahler geometry to study which Fano manifolds with b2 = 1 admit a K¨ahler-Einstein metric. The celebrated Yau-Tian- Donaldson conjecture asserts that a Fano manifold admits a K¨ahler-Einstein met- ric if and only if it is K-polystable. -
Meetings & Conferences of The
Meetings & Conferences of the AMS IMPORTANT INFORMATION REGARDING MEETINGS PROGRAMS: AMS Sectional Meeting programs do not appear in the print version of the Notices. However, comprehensive and continually updated meeting and program information with links to the abstract for each talk can be found on the AMS website. See www.ams.org/meetings/. Final programs for Sectional Meetings will be archived on the AMS website accessible from the stated URL . Jill Pipher, Brown University, Harmonic analysis and New Brunswick, New elliptic boundary value problems. David Vogan, Department of Mathematics, MIT, Matri- Jersey ces almost of order two. Wei Zhang, Columbia University, The Euler product and Rutgers University the Taylor expansion of an L-function. November 14–15, 2015 Special Sessions Saturday – Sunday If you are volunteering to speak in a Special Session, you Meeting #1115 should send your abstract as early as possible via the ab- Eastern Section stract submission form found at www.ams.org/cgi-bin/ Associate secretary: Steven H. Weintraub abstracts/abstract.pl. Announcement issue of Notices: September 2015 Advances in Valuation Theory, Samar El Hitti, New York Program first available on AMS website: October 1, 2015 City College of Technology, City University of New York, Issue of Abstracts: Volume 36, Issue 4 Franz-Viktor Kuhlmann, University of Saskatchewan, and Deadlines Hans Schoutens, New York City College of Technology, For organizers: Expired City University of New York. For abstracts: Expired Algebraic Geometry and Combinatorics, Elizabeth Drel- lich, University of North Texas, Erik Insko, Florida Gulf The scientific information listed below may be dated. Coast University, Aba Mbirika, University of Wisconsin- For the latest information, see www.ams.org/amsmtgs/ Eau Claire, and Heather Russell, Washington College.