Countdown to the 2010 Fields medal(s)
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From: Jean-Claude Evard on 2 Aug 2010 19:31 ================================================ Additional information about the26-th International Congress of Mathematicians: ================================================ The Kenneth O. May Prize for the History of Mathematics will be awarded to Radha Charan Gupta, from India, at the Closing Ceremony of the 26-th International Congress of Mathematicians (ICM2010) on Friday, August 27, 2010. See the following press release: http://www.icm2010.in/wp-content/icmfiles/uploads/RCGupta.pdf Radha Charan Gupta is the first Indian to be awarded this prize. He was chosen for the 2009 prize jointly with Ivor Grattan-Guinness from the UK by the International Commission for the History of Mathematics. The award was presented to Ivor Grattan-Guinness at the 23rd International Congress of History of Science and Technology held in Budapest, Hungary. Radha Charan Gupta could not attend this congress in Hungary and he has been invited by the ICM2010 to receive the award in his home country, India, at the Closing Ceremony of the ICM2010, on Friday, August 27, 2010. Radha Charan Gupta's major contributions in the field of history of mathematics include work on the history of development of trigonometry in India. He authored the chapter 'Historiography of Mathematics in India' in the following book: Writing the History of Mathematics - Its Historical Development Joseph W. Dauben (Editor) and Christoph J. Scriba (Editor) Paperback: 730 pages Birkhäuser, 2002 ISBN-10: 3764361670 ISBN-13: 978-3764361679 $139.00 http://www.springer.com/birkhauser/historyofscience/book/978-3-7643-6167-9 http://www.amazon.com/Writing-History-Mathematics-Historical-Development/dp/3764361670/ref=sr_1_1?s=books&ie=UTF8&qid=1280804794&sr=1-1 Radha Charan Gupta has been the President of the Association of Mathematics Teachers of India from 1994 until recently. He also founded the journal "Ganita Bharati" (meaning "Indian Mathematics") and has written several articles in this journal. -------------------------------------------------------------------------------------------- Kim Plofker, a mathematical historian, will present the award to Radha Charan Gupta on behalf of the International Commission for the History of Mathematics. Kim Plofker is the author of the following book: Mathematics in India, Kim Plofker Hardcover: 384 pages Princeton University Press, 2008 ISBN-10: 0691120676 ISBN-13: 978-0691120676 http://press.princeton.edu/titles/8835.html http://www.amazon.com/Mathematics-India-Kim-Plofker/dp/0691120676/ref=cm_cr_pr_product_top Kim Plofker will deliver a Plenary talk at the ICM 2010: Thursday, August 26, 2010 Day 8, 11:30-12:30 Plenary Lecture 15 Kim Plofker Indian rules, Yavana rules: Foreign identity and the transmission of mathematics: For more information about this talk, see the following Web page: http://www.icm2010.org.in/wp-content/icmfiles/docs/schedule/programme_jul2.pdf -------------------------------------------------------------------------------------------- The International Commission on the History of Mathematics (ICHM) -------------------------------------------------------------------------------------------- The International Commission for the History of Mathematics (ICHM) is an inter-union commission joining the International Mathematical Union (IMU) and the Division of the History of Science (DHS) of the International Union for the History and Philosophy of Science (IUHPS). It is composed of representatives of some fifty-five nations. For more information about the ICHM, see the following Web page: http://www.unizar.es/ichm/ -------------------------------------------------------------------------------------------- History of the International Commission on the History of Mathematics (ICHM) -------------------------------------------------------------------------------------------- The idea of creating an International Commission on the History of Mathematics was first discussed in Paris in 1968 at the 12th International Congress of History of Science. On that occasion, it was resolved that a subcommittee, with Kenneth O. May as its provisional Chair, be formed to report back to the Division of the History of Science of the International Union of the History and Philosophy of Science (IUHPS) at the 13th International Congress that would be held in Moscow four years later in 1971. That subcommittee did report, and the result was the official creation of the ICHM. For more information about the history of the ICHM, see the following Web page: http://www.unizar.es/ichm/history.htm -------------------------------------------------------------------------------------------- The Prize Kenneth O. May -------------------------------------------------------------------------------------------- The Prize Kenneth O. May is named after the mathematician and historian Kenneth O. May, founder of the International Commission for the History of Mathematics and its journal Historia Mathematica. The prize, instituted in 1989, consists of a bronze medal and is given once in four years in appreciation of a mathematician's scholarly work in the history of mathematics. For more information about the Prize Kenneth O. May Prize, see the following Web page: http://www.unizar.es/ichm/mayprize.htm -------------------------------------------------------------------------------------------- Kenneth O. May -------------------------------------------------------------------------------------------- For information about Kenneth O. May, see the following Web page: http://www.unizar.es/ichm/may.html --------------------------------------------------------------------------------------------
From: Jean-Claude Evard on 5 Aug 2010 20:11 ==================================================== Here is some additional information about the 26-th International Congress of Mathematicians: ==================================================== The main talks are organized in 20 sections, representing 20 areas of mathematics, which are the following: Logic and foundations Algebra Number Theory Algebraic and complex geometry Geometry Topology Lie theory and generalizations Analysis Functional analysis and applications Dynamical systems and ordinary differential equations Partial differential equations Mathematical physics Probability and Statistics Combinatorics Mathematical aspects of computer science Numerical analysis and scientific computing Control theory and optimization Mathematics in science and technology Mathematics education and popularization of mathematics History of Mathematics For more information about this list of 20 areas, see the following Web pages: http://www.icm2010.org.in/scientific-program/imu-sections http://www.icm2010.in/scientific-program/programme-structure -------------------------------------------------------------------------------------------- There are 20 plenary speakers, which are the following, in alphabetic order: David Aldous, USA Artur Avila, Brazil R. Balasubramanian, India Jean-Michel Coron, France Irit Dinur, Israel Hillel Furstenberg, Israel Thomas J.R. Hughes, USA Peter Jones, USA Carlos Kenig, USA Ngo Bao Chau, USA Stanley Osher, USA R. Parimala, USA A. N. Parshin, Russia Shige Peng, P.R. China Kim Plofker, USA Nicolai Reshetikhin, USA Richard Schoen, USA Cliff Taubes, USA Claire Voisin, France Hugh Woodin, USA For more information about this list of plenary speakers, see the following Web page: http://www.icm2010.org.in/scientific-program/invited-speakers -------------------------------------------------------------------------------------------- The 20 plenary lectures are the following: ------------------------------------------------------ David Aldous University of California, Berkeley, USA Exchangeability and continuum limits of discrete random structures ------------------------------------------------------ Artur Avila IMPA, Rio de Janeiro, Brazil Dynamics of renormalization operators ------------------------------------------------------ R. Balasubramanian Institute of Mathematical Sciences, India Highly composite ------------------------------------------------------ Jean-Michel Coron Universit´e Pierre et Marie Curie, France On the controllability of nonlinear partial differential equations ------------------------------------------------------ Irit Dinur Weizmann Institute of Science, Israel Probabilistically checkable proofs and codes ------------------------------------------------------ Hillel Furstenberg Hebrew University of Jerusalem, Israel Ergodic structures and non-conventional ergodic theorems ------------------------------------------------------ Thomas J. R. Hughes University of Texas, Austin, USA Isogeometric analysis ------------------------------------------------------ Peter Jones Yale University, USA Eigenfunctions and coordinate systems on manifolds ------------------------------------------------------ Carlos Kenig University of Chicago, USA The global behaviour of solutions to critical nonlinear dispersive equations ------------------------------------------------------ Ngo Bao Chau Institute for Advanced Studies, Princeton, USA Endoscopy of automorphic forms ------------------------------------------------------ Stanley Osher University of California, Los Angeles, USA New algorithms in image science ------------------------------------------------------ R. Parimala Emory University, USA Arithmetic of linear algebraic groups over two-dimensional fields ------------------------------------------------------ A. N. Parshin, Steklov Mathematical Institute, Russia Representations of higher adelic groups and arithmetics ------------------------------------------------------ Shige Peng Shandong University, P. R. of China Backward stochastic differential equations, nonlinear expectations and their applications ------------------------------------------------------ Kim Plofker Brown University, USA Indian rules, Yavana rules: foreign identity and the transmission of mathematics ------------------------------------------------------ Nicolai Reshetikhin University of California, Berkeley, USA Mathematics of quantum field theory ------------------------------------------------------ Richard Schoen Stanford University, USA Riemannian manifolds of positive curvature ------------------------------------------------------ Cliff Taubes Missing piece of information Missing piece of information ------------------------------------------------------ Claire Voisin Institut de Math´ematiques de Jussieu, France On the cohomology of algebraic varieties ------------------------------------------------------ Hugh Woodin University of California, Berkeley, USA Strong axioms of infinity and the search for V ------------------------------------------------------ For more information about these 20 plenary lectures, see the following Web pages: http://www.icm2010.org.in/wp-content/icmfiles/docs/schedule/plenary_jul2_3.pdf http://www.icm2010.org.in/wp-content/icmfiles/docs/schedule/programme_Aug3.pdf -------------------------------------------------------------------------------------------- For information about the invited talks in each of the 20 areas of mathematics represented at the congress, see the following Web pages: http://www.icm2010.org.in/scientific-program/invited-speakers http://www.icm2010.in/scientific-program/programme-structure http://www.icm2010.org.in/wp-content/icmfiles/docs/schedule/sectionals_Aug3.pdf -------------------------------------------------------------------------------------------- That's all for today --------------------------------------------------------------------------------------------
From: Jean-Claude Evard on 6 Aug 2010 23:22 ==================================================== Here is some additional information about the 26-th International Congress of Mathematicians: ====================================================I As announced on the following two Web pages http://www.icm2010.org.in/scientific-program/invited-speakers http://www.icm2010.org.in/wp-content/icmfiles/docs/schedule/plenary_jul2_3.pdf in addition to the 20 plenary lectures, and about 150 invited talks, the program of the 26-th International Congress of Mathematicians also includes the following two special lectures: 1. The Abel lecture delivered by Sathyamangalam Ranga Iyengar Srinivasa Varadhan, USA 2. The Emmy Noether lecture, delivered by Idun Reiten, Norway. ==================================================== Here is some additional information about the first of these two special lectures: ==================================================== The Abel Lecture will be given for the first time. It is sponsored by the Norwegian Academy of Sciences. It will be given on the first day of the congress. It is announced as follow: -------------------------------------------------------- The Abel lecture Thursday, August 19, 2010, 16:45-17:45 Sathyamangalam Ranga Iyengar Srinivasa Varadhan Courant Institute of Mathematical Sciences, New York University, USA Large Deviations -------------------------------------------------------- The theory of large deviations deals with rates at which probabilities of certain events decay as a natural parameter in the problem varies. -------------------------------------------------------- Here is some information about Srinivasa Varadhan extracted from the following Web page of the Wikipedia Encyclopedia: http://en.wikipedia.org/wiki/S._R._Srinivasa_Varadhan 1. Srinivasa Varadhan was awarded the Abel Prize on 22 March 2007 for his work on large deviations with M. D. Donsker. 2. Srinivasa Varadhan was awarded the Steele Prize from the American Mathematical Society in 1996 for his work with Daniel W. Stroock on diffusion processes. 3. Srinivasa Varadhan was awarded the Padma Bhushan in 2008 by the government of India. The Padma Bhushan award is an Indian civilian award. It stands third in the hierarchy of civilian awards, after the Bharat Ratna and the Padma Vibhushan. It is awarded to recognize distinguished service of a high order to the nation, in any field. 4. Srinivasa Varadhan was awarded the Birkhoff Prize in 1994. 5. Srinivasa Varadhan was awarded the Margaret and Herman Sokol Award of the Faculty of Arts and Sciences, New York University, in 1995. 6. Srinivasa Varadhan was awarded an honorary degree from the Université Pierre et Marie Curie in Paris in 2003. 7. Srinivasa Varadhan was awarded an honorary degree from the Indian Statistical Institute in Kolkata, India in 2004. 8. Srinivasa Varadhan has published the following three books: ----------------------------------------------------- Large Deviations and Applications S. R. S. Varadhan Society for Industrial Mathematics, 1987 Paperback, 81 pages ISBN-10: 0898711894 ISBN-13: 978-0898711899 $38.00 ----------------------------------------------------- Probability Theory S. R. S. Varadhan Courant Institute of Mathemetical Sciences, 2001 Hardcover, 167 pages ISBN-10: 0821828525 ISBN-13: 978-0821828526 List Price: $25.00 ----------------------------------------------------- Stochastic Processes S. R. S. Varadhan American Mathematical Society, 2007 Paperback, 126 pages ISBN-10: 0821840851 ISBN-13: 978-0821840856 Price: $29.00 ----------------------------------------------------- For more information about the above, see the following Web pages: The Courant Institute of Mathematical Sciences: http://www.cims.nyu.edu/ The Department of Mathematics of the Courant Institute of Mathematical Sciences: http://math.nyu.edu/ http://math.nyu.edu/people/ S. R. Srinivasa Varadhan. Professor. B.S. 1959, M.A. 1960, Madras; Ph.D. 1963, Indian Statistical Institute. Research interests: probability theory, stochastic processes, partial differential equations. The Web page of Srinivasa Varadhan: http://math.nyu.edu/faculty/varadhan/ -------------------------------------------------------------------------------------------- Countdown: The Fields medals 2010 will be awarded in 12 days, on Thursday, August 19, 2010. --------------------------------------------------------------------------------------------
From: Jean-Claude Evard on 7 Aug 2010 21:30 ========================================================= Here is some additional information about the 26-th International Congress of Mathematicians (ICM2010) that will be held in Hyderabad, in India, from Thursday, August 19, to Friday, August 27, 2010. ========================================================= As announced in my previous posting and on the following two Web pages http://www.icm2010.org.in/scientific-program/invited-speakers http://www.icm2010.org.in/wp-content/icmfiles/docs/schedule/plenary_jul2_3.pdf in addition to the 20 plenary lectures, and about 150 invited talks, the program of the 26-th International Congress of Mathematicians also includes the following two special lectures: ---------------------------------------------------- 1. The Abel lecture, delivered by Srinivasa Varadhan, USA. ---------------------------------------------------- 2. The Emmy Noether lecture, delivered by Idun Reiten, Norway. ---------------------------------------------------- In my previous posting, I gave some additional information about the first of these two special talks. Below, I give some additional information about the second one. --------------------------------------------------------------------------------------------------------------------------------- The following Web page http://www.icm2010.org.in/wp-content/icmfiles/docs/schedule/plenary_jul2_3.pdf says that the second talk will be given on the last day of the congress. It is announced as follows: ------------------------------------ Friday, August 27, 2010, 13:45-14:45 Emmy Noether Lecture Idun Reiten, NTNU, Norway Cluster categories ------------------------------------ --------------------------------------------------------------------------------------------------------------------------------- Below is some information about Idun Reiden extracted from the following Web page of the online Wikipedia Encyclopedia: http://en.wikipedia.org/wiki/Idun_Reiten Idun Reiten is a Norwegian professor of mathematics at the Norwegian University of Science and Technology. She is considered to be one of Norway's greatest mathematicians today. In 2007, Idun Reiten was awarded the Möbius prize. In 2009 she was awarded the Fridtjof Nansens reward for successful researchers. In 2009, she was awarded the Nansen medal for astonishing research. Her research area is representation theory for artinian algebras, commutative algebra, and homological algebra. Her work with Maurice Auslander now forms the part of the study of artinian algebras known as Auslander-Reiten theory. --------------------------------------------------------------------------------------------------------------------------------- We can see on the following Web page http://muse.jhu.edu/login?uri=/journals/american_journal_of_mathematics/v130/130.4.iyama.pdf that Idun Reiten has published the following joint paper in the highly rated American Journal of Mathematics: ------------------------------------------------------------------------------------------------- Osamu Iyama and Idun Reiten Fomin-Zelevinsky mutation and tilting modules over Calabi-Yau algebras American Journal of Mathematics Volume 130, Number 4, August 2008, pp. 1087-1149 DOI: 10.1353/ajm.0.0011 E-ISSN: 1080-6377 Print ISSN: 0002-9327 ------------------------------------------------------------------------------------------------- Abstract: We say that an algebra $\Lambda$ over a commutative noetherian ring $R$ is Calabi-Yau of dimension $d$ ($d$-CY) if the shift functor $[d]$ gives a Serre functor on the bounded derived category of the finite length $\Lambda$-modules. We show that when $R$ is $d$-dimensional local Gorenstein the $d$-CY algebras are exactly the symmetric $R$-orders of global dimension $d$. We give a complete description of all tilting modules of projective dimension at most one for 2-CY algebras, and show that they are in bijection with elements of affine Weyl groups, preserving various natural partial orders. We show that there is a close connection between tilting theory for 3-CY algebras and the Fomin-Zelevinsky mutation of quivers (or matrices). We prove a conjecture of Van den Bergh on derived equivalence of noncommutative crepant resolutions. --------------------------------------------------------------------------------------------------------------------------------- We can see on the following Web page of the online Wikipedia Encyclopedia about Krull-Schmidt categories http://en.wikipedia.org/wiki/Krull%E2%80%93Schmidt_category that her name is associated with the concept of Auslander-Reiten quiver. --------------------------------------------------------------------------------------------------------------------------------- On the following Web page http://sciencewatch.com/dr/fbp/2008/08augfbp/08augfbpKellerET/ there is an interview of Bernhard Keller and Idun Reiten by ScienceWatch.com about their following highly cited paper --------------------------------------------------------------------------------------- Cluster-tilted algebras are Gorenstein and stably Calabi-Yau Bernhard Keller and Idun Reiten Advances in Mathematics, Volume: 211, Issue: 1, Pages 123-151, MAY, 2007 --------------------------------------------------------------------------------------- In that interview, they say notably: "Our paper contributes to the study of certain systems, called 2- and 3-Calabi-Yau categories, which are of two and three dimensions, respectively. These categories have turned out to be important in a branch of theoretical physics called string theory, where the elementary particles are modeled by small strings. In this theory, in addition to the four dimensions of classical physics, time plus three spatial dimensions, one has to deal with six real or equivalently three complex dimensions, whose behavior is expected to be controlled by certain 3-Calabi-Yau categories." --------------------------------------------------------------------------------------------------------------------------------- Idun Reiten is co-author of co-editor of each of the following books, ordered in chronological order of publication: ---------------------------------------------------------------------------------------------------- Two Dimensional Tame and Maximal Orders of Finite Representation Type Idun Reiten and Michel Van Den Bergh American Mathematical Society, 1989 Paperback, 72 pages ISBN-10: 0821824694 ISBN-13: 978-0821824696 $20.00 ---------------------------------------------------------------------------------------------------- Tilting in Abelian Categories and Quasitilted Algebras Dieter Happel, Idun Reiten, and Sverre O. Smalo American Mathematical Society, 1996 Paperback, 88 pages ISBN-10: 0821804448 ISBN-13: 978-0821804445 Price: $39.00 ---------------------------------------------------------------------------------------------------- Representation Theory of Artin Algebras Maurice Auslander, Idun Reiten, and Sverre O. Smalo Cambridge University Press, 1997 Paperback, 440 pages ISBN-10: 0521599237 ISBN-13: 978-0521599238 $80.00 ---------------------------------------------------------------------------------------------------- Algebras and Modules I: Workshop on Representations of Algebras and Related Topics, July 29-August 3, 1996, Trondheim, Norway Idun Reiten, Sverre O. Smalo, and Yvind Solberg, Editors American Mathematical Society, 1998 Paperback, 198 pages ISBN-10: 0821808508 ISBN-13: 978-0821808504 $45.00 ---------------------------------------------------------------------------------------------------- Algebras and Modules II: Eighth International Conference on Representations of Algebras (IRCA VIII), August 4-10, 1996, Geiranger, Norway Idun Reiten, Sverre O. Smalø, Øyvind Solberg, Editors American Mathematical Society and Canadian Mathematical Society, 1998 Paperback, 569 pages ISBN-10: 0821810766 ISBN-13: 978-0821810767 $114.00 ---------------------------------------------------------------------------------------------------- Selected Works of Maurice Auslander Idun Reiten, Sverre O. Smalo, and Oyvind Solberg, Editors American Mathematical Society, 1999 Hardcover, 1638 pages, in two volumes ISBN-10: 0-8218-0679-3 ISBN-13: 978-0-8218-0679-1 $318.00 ---------------------------------------------------------------------------------------------------- Dualities on Generalized Koszul Algebras Edward L. Green, Idun Reiten, and Oyvind Solberg American Mathematical Society, 2002 Paperback, 67 pages ISBN-10: 0821829343 ISBN-13: 978-0821829349 $50.00 ---------------------------------------------------------------------------------------------------- Homological and Homotopical Aspects of Torsion Theories Apostolos Beligiannis and Idun Reiten American Mathematical Society, 2007 Paperback, 207 pages ISBN-10: 0821839969 ISBN-13: 978-0821839966 $72.00 --------------------------------------------------------------------------------------------------------------------------------- Countdown: The Fields medals 2010 will be awarded in 11 days, on Thursday, August 19, 2010. ---------------------------------------------------------------------------------------------------------------------------------
From: Jean-Claude Evard on 8 Aug 2010 21:24
======================================== Here is some additional information about the 26-th International Congress of Mathematicians (ICM2010), that will be held in Hyderabad, in India, from Thursday, August 19, to Friday, August 27, 2010. ======================================== Piece of information extracted from the following Web page: http://www.icm2010.org.in/about-icm-2010 "The venue of the ICM-2010 will be the Hyderabad International Convention Centre, a state of the art facility for holding large meetings such as the ICM 2010." ------------------------------------------------------------------------------ Piece of information extracted from the following Web page: http://www.hicc.com/about_hyderabad.html "The new Hyderabad International Convention Centre is the only world-class convention facility between Singapore and Dubai." This gives a reason for choosing Hyderabad, and not another city of India, after having chosen India as the country for the next congress. ------------------------------------------------------------------------------ In Part 7 my posting of last July 27, I gave a list of some of the reasons why the International Mathematical Union had chosen India for the location of the next International Congress of Mathematicians. In addition to these reasons, I would like to mention that the following Web page of the newspaper "The Indu" contains an article entitled "India as a player in Mathematics," published on June 11, 2009: by M. S. Raghunathan, Homi Bhabha Chair Professor at the Tata Institute of Fundamental Research, Mumbai, which gives more reasons for choosing India. http://hindu.com/2009/06/11/stories/2009061155161000.htm Here are some pieces of information extracted from the above Web page: "Already in the Vedic Period (circa 1000 BCE), India embarked on the study of geometry. There is firm evidence that Pythagoras' theorem was known by the eighth century BCE." "Aryabhatta (5-6th Century AD) and Brahmagupta (6-7th Century AD) were formidable minds who made great contributions to astronomy and trigonometry and were undoubtedly the greatest mathematicians in the world in their times." "Narasimhan is a versatile researcher with very important contributions in several areas: Differential Equations, Differential Geometry, Algebraic Geometry, Lie theory and Mathematical Physics." "Seshadri's work is largely in Algebraic Geometry and his contributions have set the directions of important sub-areas in the field." "C.R. Rao whose work has had a big impact in the way his research area, Statistics, has developed over the last several decades." "Manindra Agarwal of IIT, Kanpur, received the Godel as well as Fulkerson prize for his work on "primality testing" in 2006." "Harish-Chandra and S.R.S. Varadhan, both of whom have had a major role in the very evolution of their fields." "Since 1970, there has been at least one invited talk [at every International Congress of Mathematicians] by an Indian working in India." ============================================ Countdown: The Fields medals 2010 will be awarded in 10 days, on Thursday, August 19, 2010. ============================================ |