Extractions: Francesco Baldassarri is the Italian Coordinator for the European Project Arithmetic Algebraic Geometry, a consortium of 12 leading european Universities. (click on the map for more details about the partnership) The main themes of research of the network are: I. p -adic cohomology theory II. Rigid geometry and p -adic uniformization III. Automorphic forms and the Langlands programme IV. L -functions of motives and their special values V. Diophantine geometry European Coordinator:
University Of Chicago Algebraic Geometry Seminar The algebraic geometry seminar is held in Eckhart Hall room 203, on Wednesdays at 45pm, Albert Lectures Steenrod operations in algebraic geometry http://www.math.uchicago.edu/seminars/algebraic_geometry.html
Michael TSFASMAN Institute for Information Transmission Problems, Russian Academy of Sciences. algebraic geometry in relation to number theory (varieties over nonalgebraically closed fields, especially over finite fields and number fields, parallelism between the function field and number field case, curves, rational varieties, rational points and zero-cycles, elliptic curves and abelian varieties, towers of varieties and asymptotic theory); Number theory (global fields, zeta-functions); Error-correcting codes; Lattices and sphere packings http://www.aha.ru/~tsfasman/
Algebraic Geometry And Arithmetic Curves algebraic geometry and Arithmetic Curves Another feature of this highly valuable book on algebraic and arithmetic geometry is provided by the vast http://www.math.u-bordeaux.fr/~liu/Book/
Extractions: As to the first [part], purely algebro-geometric part of the book, it seems fair to say that this is, after A. Grothendieck's voluminous treatise "Éléments de géométrie algébrique. IIV" (EGA IIV), the most comprehensive and detailed elaboration of the theory of algebraic schemes available in (text-)book form, whereas the second, merely arithmetic part provides the very first systematic and coherent introduction to the advanced theory of arithmetic curves and surfaces at all. Moreover, the entire text is arranged in such exhaustive a way that the book is essentially self-contained, keeping the prerequisites at a minimum, and perfectly suitable for seasoned graduate students. Another feature of this highly valuable book on algebraic and arithmetic geometry is provided by the vast amount of illustrating, theoretically important examples as well as by the approximately six hundred included exercises.
Frederik Vercauteren University of Bristol. Algorithmic number theory and computational algebraic geometry; applications to cryptography. http://www.cs.bris.ac.uk/~frederik/index.html
Extractions: E-mail: frederik@cs.bris.ac.uk This page is no longer maintained since I've moved to Leuven. Click here to go there. F. Vercauteren, B. Preneel, J. Vandewalle. A Memory Efficient Version of Satoh's Algorithm. In Birgit Pfitzmann (Ed.) Advances in Cryptology - EUROCRYPT 2001, Lecture Notes in Computer Science 2045 Springer 2001, p. 1-13. S. Janssen, J. Thomas, W. Borremans, P. Gijsels, I. Verbauwhede, F. Vercauteren, B. Preneel, J. Vandewalle. Hardware/Software Co-design of an Elliptic Curve Public-key Cryptosystem. In Proceedings IEEE Workshop on Signal Processing Systems, SiPS-2001, Antwerp, Belgium, 2001, p. 209-216. J. Denef, F. Vercauteren.
KU Mathematics: Algebra/Algebraic Geometry Craig Huneke Commutative Algebra, algebraic geometry; Daniel Katz Commutative Algebra; Jeffery Lang Commutative Algebra; Satyagopal Mandal Commutative http://www.math.ku.edu/research/algebra.html
Home Page Of Gunther Cornelissen University of Utrecht. Arithmetical algebraic geometry, in particular global function fields (moduliproblems, automorphic forms); non-archimedean uniformization, group actions in positive characteristic; diophantine sets. http://www.math.uu.nl/people/cornelissen/
Extractions: In 2000, the Clay Mathematics Institute published a list of seven one-million dollar Millennium Prize Problems. These problems, selected by a panel of leading mathematicians, are widely regarded as the most important open problems in mathematics. One problem on the list is the Riemann Hypothesis, which concerns the location of the zeroes of the so-called Riemann zeta function. A proof of the Riemann Hypothesis would have major implications for many questions in number theory, notably on the distribution of prime numbers. Another Clay problem is the conjecture of Birch and Swinnerton-Dyer. It asserts that one can obtain very precise information about the arithmetic of an elliptic curve-or, in plain terms, about the rational solutions to cubic equations in two variables-by analytic means; namely, by examining a special value of the Hasse-Weil L-function associated to the curve. Both the Riemann zeta function and the Hasse-Weil L-functions are examples of L-functions, and their occurrence on the Clay list illustrates the central role that L-functions play in number theory in general and in arithmetic algebraic geometry in particular. `Arithmetic algebraic geometry' is the modern name for the age-old theory of diophantine equations, with an emphasis on the use of tools from algebraic geometry.
Algebraic Geometry, Spring 2005 algebraic geometry, Spring 2005. For a general description of this course, see the description in the `studiegids , and for the schedule (time and location) http://www.math.leidenuniv.nl/~edix/alggeom2005/
Extractions: For a general description of this course, see the description in the `studiegids' , and for the schedule (time and location) see schedules in the `studiegids' , or see the pages of the Dutch Master Program in Mathematics This page gives a progress report on what has been done (course and problem session), and gives a planning of what is to follow. And there is more: the New Deal regarding the procedure for getting a grade for this course. This procedure, of which the organisational details still have to be worked out, is that those who wish to obtain a grade pass an oral examination, during which the selected exercises for the problem session will be discussed, with all documentation (the book, other books, solutions) available. 1. February 7 In the course, section I.1 (of Hartshorne's book) has been treated up to Remark 1.4.6. A proof of Hilbert's Nullstellensatz has been promised for later (and maybe a proof of Hilbert's Basis Theorem, saying that if A is noetherian, then A[x] is noetherian). The selected exercises are: 1.1(a),(b), 1.2, 1.3, 1.4, 1.6, 1.7. 2. February 14
Wykno 2000 Algebraic group actions and quotients. Wykno (Poland), 310 September 2000. http://www.mimuw.edu.pl/~jarekw/EAGER/Wykno00.html
Extractions: Luna slice theorem and related results , by Jean-Marc Drezet (Institut de mathematiques, CNRS). Notes: article Luna's slice theorem and applications available as a postscript file Geometric quotients , by Andrzej Bialynicki-Birula and Joanna Swiecicka (Warsaw University). Notes: article Good quotients of reductive group actions - combinatorics in projective spaces by Joanna Swiecicka available as a postscript file Quotients by grupoids and stacks , by Charles Walter (Universite de Nice). Linearisation problems , by Mariusz Koras (Warsaw University). Notes: article by Mariusz Koras and Peter Russell available as a postscript file Embeddings into toric varieties and categorical quotients , by Annette A'Campo-Neunen and Juergen Hausen (Konstanz University). Notes: article Toric invariant theory available as a postscript file September Schools Homepage Polish Eager Homepage
Course Notes --- J.S. Milne Course notes by J.S. Milne. Topics covered are group, fields and Galois, algebraic number, class field theories. Other areas discussed are modular functions and forms, elliptic curves, algebraic geometry, Etale Cohomology, and Abelian varieties. In HTML, PDF, PostScript and DVI formats. http://www.jmilne.org/math/CourseNotes/
Extractions: Full notes as pdf (or dvi and ps) files for all the advanced course I taught between 1986 and 2005. Some of the notes give complete proofs (Group Theory, Fields and Galois Theory, Algebraic Number Theory, Class Field Theory, Algebraic Geometry), while others are more in the nature of introductory overviews to a topic. The notes are licensed under a Creative Commons License . Briefly, this allows you to copy and distribute them for noncommercial purposes under certain conditions (see the link for details). At last count, the notes included about 1600 pages. Errata: This is a list of errors and additional comments not yet incorporated into the files on the web, mainly contributed by readers. Group Theory
AMS Special Session On "Algebraic Geometry And Combinatorics" (1) work proved using a mixture of both algebraic geometric and combinatorial methods; or. (2) results/conjectures proved using principally techniques from http://math.berkeley.edu/~ayong/AMS_AGC.html
Extractions: 2005 Spring Western Section Meeting, Santa Barbara, CA, April 16-17, 2005 The goal of this special session is to bring together researchers whose interests relate to both algebraic geometry and combinatorics. The focus will be on: (1) work proved using a mixture of both algebraic geometric and combinatorial methods; or (2) results/conjectures proved using principally techniques from one of the areas of the above title, but which suggest further work in the other. Proposed speaker topics include: moduli space of curves, Kazhdan-Lusztig theory, geometry of Schubert varieties, toric varieties, degeneracy loci and determinantal varieties, Groebner geometry, tropical geometry, Schubert calculus, equivariant cohomology for spaces with a torus action and Hilbert schemes. Our room will have a blackboard and projector, but no computer projector. Further details will be posted here as they become available. Or you may contact the organizers Alexander Yong and Allen Knutson
Conference On Arithmetic Geometry, Gainesville 2005 Padic methods in arithmetic and algebraic geometry part of the Special Year in Number Theory and Combinatorics. University of Florida, Gainesville, FL, USA; 28 February 4 March 2005. http://www.math.ufl.edu/~crew/agconf.html
Extractions: Gainesville 2005 The conference will be devoted to p -adic methods in arithmetic and algebraic geometry. It is a part of the Mathematics Department's Special Year in Number Theory and Combinatorics, 2004-2005. SCHEDULE OF TALKS Here is the final list of speakers: Participants may register by sending an email to one of the organizers, listed below. A block of rooms has been reserved at: Holiday Inn University Center 1250 W University Ave. Gainesville, FL 32601 (352) 376-1661 Rooms are $72 per night, plus 9% room tax. Call the hotel for reservations. The rooms will be held until January 31, 2005.
Volume 60 "Algorithmic And Quantitative Real Algebraic Geometry" Algorithmic and quantitative aspects in real algebraic geometry are becoming increasingly important areas of research because of their roles in other areas http://dimacs.rutgers.edu/Volumes/Vol60.html
Extractions: EDITORS: Saugata Basu and Laureano Gonzalez-Vega This volume may be obtained from the AMS or through bookstores in your area. To order through AMS contact the AMS Customer Services Department, P.O. Box 6248, Providence, Rhode Island 02940-6248 USA. For Visa, Mastercard, Discover, and American Express orders call 1-800-321-4AMS. You may also visit the AMS Bookstore and order directly from there. DIMACS does not distribute or sell these books. Algorithmic and quantitative aspects in real algebraic geometry are becoming increasingly important areas of research because of their roles in other areas of mathematics and computer science. The papers in this volume collectively span several different areas of current research. The articles are based on talks given at the DIMACS Workshop on "Algorithmic and Quantitative Aspects of Real Algebraic Geometry". Topics include deciding basic algebraic properties of real semi-algebraic sets, application of quantitative results in real algebraic geometry towards investigating the computational complexity of various problems, algorithmic and quantitative questions in real enumerative geometry, new approaches towards solving decision problems in semi-algebraic geometry, as well as computing algebraic certificates, and applications of real algebraic geometry to concrete problems arising in robotics and computer graphics. The book is intended for researchers interested in computational methods in algebra.
AC Commutative Algebra Articles cover commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics. http://front.math.ucdavis.edu/math.AC
Extractions: Authors: All AB CDE FGH ... U-Z 14 Sep math.AG/0509285 The Multiplicity Polar Theorem and Isolated Singularities. Terence Gaffney . 22 pages. AG AC 14 Sep math.AG/0509282 A Briancon-Skoda type theorem for graded systems of ideals. Alex Kuronya , Alexandre Wolfe . 8 pages. AG AC 13 Sep math.AG/0509243 On Igusa zeta functions of monomial ideals. Jason Howald , Mircea Mustata , Cornelia Oichi Yuen . 9 pages. AG AC 9 Sep math.AT/0509187
Queen's Algebraic Geometry Seminar Queen s algebraic geometry Seminar. Fall 2005. Monday ?30pm ?30pm in ? Jeffery Hall. Schedule of Talks. Date, Speaker, Title. September 12 http://www.mast.queensu.ca/~ggsmith/Seminar/
An-Wen Deng Academica Sinica, Taiwan. Number Theory and algebraic geometry. Publications. http://www.sinica.edu.tw/math/html/post-doc/deng-e.html
Extractions: An-Wen Deng ¡@¡@An-Wen Deng received a B. S. degree in Mathematics from the Central University in 1987. In 1989 he got M. S. from Tsinghua University. At the end of 1991 he went to Germany to go on studying Mathematics. In 1997 he received a doctoral degree. His research interests are centered about Number Theory and Algebraic Geometry. He enjoys mountaineering, reading history. During his stay in Germany he did some aid for the international amnesty and helped the political refugee. Publications Varietat mit der Hardy-Littewoodschen Eigenschaft, Mathematica Gottingensis. Heft 21(1997).
