41. Algebraic Geometry - Wikipedia algebraic geometry. From equations. In algebraic geometry, geometric structuresare defined as the set of zeros of a number of polynomials. http://www.wikipedia.org/wiki/Algebraic_geometry

Main Page Recent changes Edit this page Older versions Special pages Set my user preferences My watchlist Recently updated pages Upload image files Image list Registered users Site statistics Random article Orphaned articles Orphaned images Popular articles Most wanted articles Short articles Long articles Newly created articles All pages by title Blocked IP addresses Maintenance page External book sources Printable version Talk Log in Help Algebraic geometry From Wikipedia, the free encyclopedia. Algebraic geometry is a branch of mathematics which, as the name suggests, combines abstract algebra , especially the study of commutative rings , and geometry . It can be seen as the study of solutions sets of systems of algebraic equations. In algebraic geometry, geometric structures are defined as the set of zeros of a number of polynomials . For instance, the two-dimensional sphere in three-dimensional Euclidean space R could be defined as the set of all points ( x y z ) with x y z A "slanted" circle in R can be defined as the set of all points ( x y z ) which satisfy the two polynomial equations x y z x y z In general, if

42. L-functions From Algebraic Geometry Lorentz Center, Lieden, Netherlands; 1721 September 2001.Category Science Math algebraic geometry Events Past Events......Lorentz Center September 1721, 2001. L-functions from algebraic geometry. Tomany objects in arithmetic algebraic geometry one can attach an L-function. http://www.math.leidenuniv.nl/~psh/wan.shtml

Lorentz Center September 17-21, 2001 L-functions from algebraic geometry Organizers: H. W. Lenstra, Jr (Leiden/Berkeley), P. Stevenhagen (Leiden) Invited speakers: Gebhard Boeckle (Zurich) Jan Denef (Leuven) Bas Edixhoven(Rennes) Alan Lauder (Oxford) Bernadette Perrin-Riou (Paris) Chad Schoen (Bonn) Rene Schoof (Rome) Jasper Scholten (Nijmegen) Daqing Wan (Irvine) The schedule of the workshop is now available. Please register on-line if you want to attend. There is no registration fee. About the topic 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.

43. Harvard/MIT Algebraic Geometry Seminar Schedule of talks and abstracts.Category Science Math Geometry algebraic geometry Research Groups......Harvard/MIT algebraic geometry Seminar 20012002 Tuesdays 300-400.The Harvard/MIT algebraic geometry Seminar will alternate between http://www-math.mit.edu/~abuch/seminar/

Harvard/MIT Algebraic Geometry Seminar 2001-2002: Tuesdays 3:00-4:00 The Harvard/MIT Algebraic Geometry Seminar will alternate between Harvard (Room 507) and MIT (Room 4-163 unless otherwise noted) on Tuesdays. Schedule of upcoming talks: Date Speaker Place Title February 5 Amnon Yekutieli Harvard Perverse sheaves and dualizing complexes over noncommutative ringed schemes February 12 Sam Grushevsky MIT Effective Schottky problem February 19 Gavril Farkas Harvard Stable bundles, difference varieties and divisors on moduli spaces of pointed curves February 26 Edward Frenkel MIT Geometric Langlands correspondence and Kac-Moody algebras March 5 Frans Oort Harvard Moduli spaces of abelian varieties in positive characteristic March 12 Yuri Tschinkel MIT Rational and integral points on algebraic varieties March 19 Dan Avritzer Harvard Desargues configurations and curves of genus 2 March 26 No seminar Spring Break April 2 Eduardo Esteves Harvard Limit linear systems and ramification points April 9 Lars Hesselholt MIT K-theory of a henselian discrete valuation field with non-perfect residue field dvi April 16 Harry Tamvakis Harvard Arithmetic Schubert calculus and applications April 23 Tom Graber MIT Quantum Chow rings of Deligne-Mumford stacks April 30 Ana-Maria Castravet Harvard Rational Families of Vector Bundles on Curves May 7 David Sheppard MIT Morphisms of hypersurfaces Resources: Abstracts in dvi, ps, and pdf format

44. Department Of Mathematics At MIT | Research : Algebraic Geometry Department, Employment. General Information; Topology; Physical Math AlgebraicGeometry; Combinatorics; Analysis; RESEARCH. algebraic geometry. Main, http://www-math.mit.edu/text-only/research/algebraic-geom.html

Department of Mathematics What's New Site Map Graphical-Version ... People Research Seminars Graduate Undergraduate Classes ... Physical Math Algebraic Geometry Combinatorics Analysis Statistics Theoretical Computer Science ... Fluid Dynamics RESEARCH Algebraic Geometry Main People Research Seminars Graduate Undergraduate Classes ... Massachusetts Institute of Technology

45. Algebraic Geometry Introduction to algebraic geometry. Learning the language. In order to get afeeling for what algebraic geometry is, let's to go through some examples. http://www.math.purdue.edu/~dvb/algeom.html

Introduction to Algebraic Geometry Math 665, fall 2001 Donu Arapura Blow up (If your browser supports mathml, then try this Introduction Books Software ... About this web page Learning the language In order to get a feeling for what algebraic geometry is, let's to go through some examples. Consider the space of 2x2 matrices over a field k with trace 0. These can be parameterized by 3-tuples (x,y,z) where x, y and z appear in the 11, 12, and 21 positions; therefore this can be identified with three dimensional affine space A . In these coordinates the determinant det(x,y,z) = -x -yz. The determinant is an algebraic map , and the fibers X t =det are algebraic subsets of A . These are in fact varieties since the polynomials -x -yz-t are irreducible for each t in k. Let's study the geometry of these sets. Suppose k= C , then I claim that X t is isomorphic to X whenever t is nonzero. To see this, choose a such that a = t, then the map (x,y,z) -> (ax,ay,az) defines an isomorphism between X and X t ; this can be checked by comparing coordinate rings.

46. Www.math.umd.edu/~krc/agathos/ Similar pages algebraic geometryalgebraic geometry 2000. Topic Interactions of algebraic geometry, HodgeTheory and Logarithmic Geometry from the view point of Degenerations http://www.math.umd.edu/~krc/agathos/

47. AGATHOS: Introduction An online system for learning algebraic geometry.Category Science Math Geometry algebraic geometry......AGATHOS. algebraic geometry A Total Hypertext Online System. AGATHOSis a hypertextbased, online system for learning algebraic geometry. http://odin.mdacc.tmc.edu/~krc/agathos/

@import url(agathos.css); @import url(textile.css); AGATHOS Algebraic Geometry: A Total Hypertext Online System AGATHOS is a hypertext-based, online system for learning algebraic geometry. I developed AGATHOS while teaching a year-long graduate class at the University of Maryland in College Park. Consequently, it makes some nontrivial assumptions about the backgrounds of its readers. The most important assumption is that the reader has completed a year-long graduate course in abstract algebra. You can approach the subject in a variety of ways: As a linear text following the traditional order of presentation (definition, lemma, theorem, proof). Starting with a list of interesting examples of algebraic varieties. Starting with a list of important theorems in algebraic geometry. Starting with a list of key concepts in algebraic geometry. Starting with a list of exercises that can be solved using the ideas found elsewhere in these notes. agathos adj. good. (From the Greek, agaqoV n. An online system for learning algebraic geometry. Warning: The course in question (and consequent development) are occuring during Fall Semester 1998. The front end looks really impressive, but a great many links are still empty. Come back from time to time and see how far I've gotten....

48. Algebraic Geometry - Dept. Of Mathematics - University Of Mainz http://enriques.mathematik.uni-mainz.de/e_index.html

Welcome! Your browser does not know frames, so please proceed to the homepage without frames

49. Meetings At Oberwolfach 2000 Calendar of meetings at the Mathematisches Forschungsinstitut Oberwolfach.Category Science Math Events Past Events...... 13.05.2000 Stochastic Analysis in Finance and Insurance; 14.05. 20.05.2000 Affinealgebraic geometry; 21.05. 20.05.2000 Affine algebraic geometry Photo JPEG http://www.mfo.de/Meetings/Meeting_Program_2000.html

Mathematisches Forschungsinstitut Oberwolfach / Meeting Programs Meetings at Oberwolfach 2000 Participants of the meetings at Oberwolfach are invited personally by the director of the institute. The participation is subject to such an invitation. Interested researchers, in particular young mathematicians, can contact the administration of the institute. Since the number of participants is restricted not all enquiries can be considered. Meetings at Oberwolfach 2001 Meetings at Oberwolfach 1999 DMV Seminars at Oberwolfach 2000 Arbeitsgemeinschaft Spring ... Arbeitsgemeinschaft Autumn Program of the Meetings to be held in 2000 Kombinatorik Kontinuierliche Optimierung und Industrieanwendungen Modelltheorie The History of the Mathematics of the 20th Century ... Thermodynamische Materialtheorien Kombinatorik Photo: JPEG Report: DVI PostScript Organizers: Laszlo Lovasz, New Haven Hans Jürgen Prömel, Berlin Kontinuierliche Optimierung und Industrieanwendungen Photo: JPEG Report: DVI PostScript Organizers: Aharon Ben-Tal, Haifa Arkadii S. Nemirovskii, Haifa

50. Meetings At Oberwolfach 2002 Calendar of meetings at the Mathematisches Forschungsinstitut, Oberwolfach.Category Science Math Events Calendars...... 01.06.2002 Classical algebraic geometry; 02.06. 14.04. 20.04.2002 Interactionsbetween algebraic geometry and Noncommutative Algebra Photo JPEG (560k http://www.mfo.de/Meetings/Meeting_Program_2002.html

Mathematisches Forschungsinstitut Oberwolfach / Meeting Programs Meetings at Oberwolfach 2002 Participants of the meetings at Oberwolfach are invited personally by the director of the institute. The participation is subject to such an invitation. Interested researchers, in particular young mathematicians, can contact the administration of the institute. Since the number of participants is restricted not all enquiries can be considered. Meetings at Oberwolfach 2003 Meetings at Oberwolfach 2001 Oberwolfach-Seminars 2002 Arbeitsgemeinschaft Spring ... Arbeitsgemeinschaft Autumn Program of the Meetings to be held in 2002 Combinatorics Optimization and Applications Mengenlehre Singularities and Concentration Phenomena in Nonlinear Elliptic and Parabolic PDE's ... Thermodynamische Materialtheorien Combinatorics Photo: JPEG Report: DVI PostScript Organizers: Laszlo Lovasz, New Haven Hans Jürgen Prömel, Berlin Optimization and Applications Photo: JPEG Report: DVI PostScript Organizers: Florian Jarre, Düsseldorf Claude Lemarechal, Saint Ismier Jochem Zowe, Erlangen

51. Columbia Algebraic Geometry & Gauge Theory Seminar Columbia algebraic geometry Gauge Theory Seminar. The Columbia algebraic geometry Gauge Theory Seminar takes place Fridays at 330 pm in 507 Mathematics. http://www.math.columbia.edu/~thaddeus/seminar.html

Spring 2003 Schedule of upcoming talks Click on the title of a talk for the abstract (if available). January 24 Tom Bridgeland Edinburgh Pi-stability on derived categories January 31 Valerio Toledano Laredo Paris 6 Flat connections and quantum groups February 7 Jacob Rasmussen Harvard Floer homology and knots February 14 Justin Sawon Stony Brook Twisted Fourier-Mukai transforms for holomorphic symplectic manifolds February 21 Carel Faber KTH and Princeton Cohomology of local systems on M_2 and A_2 February 28 David Ben-Zvi Chicago Solitons and many-body systems in algebraic geometry March 7 Saso Strle McMaster Homology lens spaces and four-ball genus Thurs., March 13 Bernd Siebert Freiburg Affine manifolds, log structures, and mirror symmetry March 28 Yuan-Pin Lee UCLA and Princeton Quantum K-theory April 4 Stanislav Jabuka Columbia April 11 Ko Honda USC April 18 Ping Xu Penn State April 25 Michael Hutchings? May 2 Michael Sullivan Michigan Schedules from the past: Fall 2002 This page is maintained by Michael Thaddeus and was shamelessly, indirectly copied from

52. Introduction To Algebraic Geometry 18.725 Introduction to algebraic geometry. The description in the course guide Introduces the basic notions and techniques of modern algebraic geometry. http://math.stanford.edu/~vakil/725/course.html

18.725: Introduction to Algebraic Geometry The description in the course guide: "Introduces the basic notions and techniques of modern algebraic geometry. Algebraic sets, Hilbert's Nullstellensatz and varieties over algebraically closed fields. We relate varieties over the complex numbers to complex analytic manifolds. For varieties of dimension one (i.e. curves) we discuss the genus, divisors, linear series, line bundles and the Riemann-Roch theorem." Johan de Jong will be teaching the follow-up course in the spring. The class is in Here are various notes in dvi, ps, and pdf formats. (If you would like tar archives, just let me know; due to limited diskspace, I had to remove them from this page.) I've added all the corrections I've found (or been told about) on Dec. 30, 1999, so they are in as final form as they'll ever be. On the first day (Sept. 9), I gave out two handouts, one with information about the course ( dvi ps , or pdf ), and one with fun problems in algebraic geometry to pique your interest ( dvi ps , or pdf Here's a rather detailed summary of the first lecture ( dvi ps , or pdf On the second day (Sept. 14), I gave out the first problem set (

53. Sydney Algebraic Geometry Seminar University of Sydney. School of Mathematics and Statistics. AlgebraicGeometry Seminar. Normally Fridays, 10.05 10.55 (+ epilogue http://www.maths.usyd.edu.au:8000/u/vanhamel/AlgGeomSeminar/

School of Mathematics and Statistics Algebra Group Carslaw building Previous talks ... School of Mathematics and Statistics Algebraic Geometry Seminar Normally Fridays, 10.05 - 10.55 (+ epilogue 11.00 - 11.30) in Carslaw 453 This semester we will be time-sharing with the Computational Arithmetic Geometry Seminar October 2002 Friday 25 Daniel Chan Noncommutative coordinate rings and stacks November 2002 Friday 15 Joost van Hamel Towards an intersection homology for real algebraic varieties Friday 22 David Kohel $p$-Adic point counting algorithms for elliptic curves January 2003 Friday 31 Pierre Berthelot P-adic cohomology and rational points over finite fields February 2003 Only Computational Arithmetic Geometry this month March 2003 Only Computational Arithmetic Geometry this month This page is maintained by Joost van Hamel Page design based on Andrew Mathas' old Algebra Seminar page, and the old student pages of the school.

54. KLUWER Academic Publishers | Algebraic Geometry Algebraic Combinatorics Christopher D. Godsil May 1993, ISBN 0412-04131-6, HardboundNo longer our Publication algebraic geometry H. Kurke, JHM Steenbrink http://www.wkap.nl/home/topics/J/8/2/

Title Authors Affiliation ISBN ISSN advanced search search tips Home Browse by Subject ... Algebra and Number Theory Algebraic Geometry Sort listing by: A-Z Z-A Publication Date APL with a Mathematical Accent Clifford A. Reiter, William R. Jones April 1990, ISBN 0-534-12864-5, Hardbound No longer our Publication Abelian Groups and Modules Alberto Facchini, Claudia Menini October 1995, ISBN 0-7923-3756-5, Hardbound Price: 259.50 EUR / 328.50 USD / 198.00 GBP Add to cart Algebra and Operator Theory Yusupdjan Khakimdjanov, Michel Goze, Shavkat Ayupov June 1998, ISBN 0-7923-5094-4, Hardbound Price: 121.00 EUR / 138.00 USD / 80.75 GBP Add to cart Algebraic Combinatorics Christopher D. Godsil May 1993, ISBN 0-412-04131-6, Hardbound No longer our Publication Algebraic Geometry H. Kurke, J.H.M. Steenbrink November 1990, ISBN 0-7923-0934-0, Hardbound Printing on Demand Price: 202.50 EUR / 256.50 USD / 154.50 GBP Add to cart Algebraic K-Theory Hvedri Inassaridze November 1994, ISBN 0-7923-3185-0, Hardbound Price: 260.50 EUR / 330.00 USD / 198.75 GBP Add to cart Algebraic K-Theory and Algebraic Topology P.G. Goerss, J.F. Jardine

55. KLUWER Academic Publishers | Algebraic Geometry Books » algebraic geometry. algebraic geometry. Kluwer Academic Publishersis pleased to make this title available as a special Printing http://www.wkap.nl/prod/b/90-0167-080-6

Title Authors Affiliation ISBN ISSN advanced search search tips Books Algebraic Geometry Algebraic Geometry Kluwer Academic Publishers is pleased to make this title available as a special Printing on Demand (PoD) edition. PoD books will be sent to you within 6-9 weeks of receipt of your order. Firm orders only!: returns cannot be accepted as PoD books are only printed on request. Add to cart Proceedings of the Vth Nordic Summer School in Mathematics in Oslo, August 5-25, 1970 edited by F. Oort Hardbound, ISBN 90-0167-080-6 September 1972, 339 pp. Printing on Demand EUR 169.50 / USD 214.00 / GBP 129.00 Home Help section About Us Contact Us ... Search

56. Algebraic Geometry Department of Math algebraic geometry. algebraic geometry is a new emphasis areawithin the department. Faculty Members in algebraic geometry. Steven Bradlow. http://www.math.uiuc.edu/ResearchAreas/AlgebraicGeometry/

Algebraic Geometry Algebraic Geometry is a new emphasis area within the department. Algebraic Geometry in simplest terms is the study of polynomial equations and the geometry of their solutions. It is an old subject with a rich classical history, while the modern theory is is built on a more technical but rich and beautiful foundation. The future looks very bright indeed with promising new directions for research being undertaken, many of which connect algebraic geometry to other areas of mathematics as well as to physics. Graduate Courses The document Graduate Studies in Algebraic Geometry outlines the general areas of Algebraic Geometry studied here and describes the advanced undergraduate and graduate courses that are under development or offered regularly. Faculty Members in Algebraic Geometry Steven Bradlow . Differential geometry, gauge theory, holomorphic vector bundles, moduli spaces. Iwan Duursma . Number theory, Arithmetic geometry, Coding Theory and Cryptography. Robert M. Fossum

57. Computations In Algebraic Geometry With Macaulay 2 Computations in algebraic geometry with Macaulay 2. This chapter introduces Macaulay2 commands for some elementary computations in algebraic geometry. http://www.math.uiuc.edu/Macaulay2/Book/

Computations in algebraic geometry with Macaulay 2 Here is our book, Computations in algebraic geometry with Macaulay 2 , edited by David Eisenbud, Daniel R. Grayson, Michael E. Stillman, and Bernd Sturmfels. It was published by Springer-Verlag in September 25, 2001, as number 8 in the series "Algorithms and Computations in Mathematics", ISBN 3-540-42230-7, price DM 79,90 (net), or $44.95. It should be in bookstores now. Buy the book at Amazon Buy the book at Amazon.de The entire book , except for the cover and the front matter: Available in the following formats: dvi (with needed figures: octahedron.eps standardpairs-fixed.eps , and Y25.eps postscript pdf The cover and the front matter Preface Available in the following formats: dvi postscript pdf Part I, Introducing Macaulay 2 Ideal, Varieties, and Macaulay 2 , by Bernd Sturmfels: Available in the following formats: dvi postscript pdf This chapter introduces Macaulay 2 Projective Geometry and Homological Algebra , by David Eisenbud: Available in the following formats: dvi postscript pdf We provide an introduction to many of the homological commands in Macaulay 2 (modules, free resolutions, Ext and Tor, ...) by means of examples showing how to use homological tools to study projective varieties.

58. University Of Cambridge DPMMS: COW Seminar UK peripatetic algebraic geometry seminar.Category Science Math Geometry algebraic geometry Events...... The COW seminar is an algebraic geometry seminar which is so called becauseit originally met in Cambridge, Oxford or Warwick. Meetings http://www.dpmms.cam.ac.uk/Seminars/COW.html

COW seminar Meetings Algebraic geometry information Other events The COW seminar is an Algebraic Geometry seminar which is so called because it originally met in Cambridge Oxford or Warwick . Meetings, of which there are several every term, are now also regularly held in Bath and London (Imperial College) and occasionally in other places. The general organisers are Miles Reid at Warwick, Gregory Sankaran at Bath and Alessio Corti at Cambridge. Other organisers are Frances Kirwan (email link) and Nigel Hitchin (email link) at Oxford, and Richard Thomas in London. The COW seminar is funded by the London Mathematical Society Programmes Next meeting Nottingham, Thursday 27th February 2003 3:00 Simon Willerton (Sheffield), Lie algebras and derived categories of sheaves 4:20 Matilde Marcolli (Bonn), From noncommutative to arithmetic geometry Location: To be decided on the day. Go to Ivan Fesenko's office, C105 in the mathematics department of Nottingham University, for instructions. Directions to Nottingham mathematics department are at http://www.maths.nottingham.ac.uk/address.html

59. Algebraic Geometry - Mathematics And The Liberal Arts algebraic geometry Mathematics and the Liberal Arts. Non-Euclidean geometry.The development of projective geometry and algebraic geometry. http://math.truman.edu/~thammond/history/AlgebraicGeometry.html

Algebraic Geometry - Mathematics and the Liberal Arts To expand search, see Geometry . Laterally related topics: Symmetry Analytic Geometry Trigonometry Pattern ... Tilings , and The Square The Mathematics and the Liberal Arts pages are intended to be a resource for student research projects and for teachers interested in using the history of mathematics in their courses. Many pages focus on ethnomathematics and in the connections between mathematics and other disciplines. The notes in these pages are intended as much to evoke ideas as to indicate what the books and articles are about. They are not intended as reviews. However, some items have been reviewed in Mathematical Reviews , published by The American Mathematical Society. When the mathematical review (MR) number and reviewer are known to the author of these pages, they are given as part of the bibliographic citation. Subscribing institutions can access the more recent MR reviews online through MathSciNet Meserve, Bruce E. The Evolution of Geometry. Mathematics Teacher Discusses the history of geometry starting with the Egyptians and Babylonians and continuing into modern times. The rise and decline of Greek geometry, the logical structure of Greek proofs. Contributions by the Islamic world on the parallel postulate. Contributions of Renaissance artists studying perspective. Analytic geometry. More on the parallel postulate. Non-Euclidean geometry. The development of projective geometry and algebraic geometry. The article concludes with a discussion of how computational technology might change the nature of mathematics. Reprinted in edited form in

60. Algebraic Geometry In East Asia Thank you very much for all participants and many other persons, AlgebraicGeometry in East Asia. has been taken place successfully. http://www.math.wani.osaka-u.ac.jp/group/alg-geom/ag2001/

Thank you very much for all participants and many other persons, Algebraic Geometry in East Asia has been taken place successfully. Place : International Institute for Advanced Studies (IIAS) 9-3 Kizugawadai, Kizu-cho, Soraku-gun, Kyoto 619-0225, JAPAN Date : August 3 to August 10, 2001 Program of the conference. Please enjoy snap shots. This symposium is supported by Grants-in-Aid for Scientific Researches, the Ministry of Education, Science, Sports and Culture, Japan. Organizing Committee Akira Ohbuchi (Tokushima University) (Chief) Kazuhiro Konno (Osaka University) Atsushi Moriwaki (Kyoto University) Noboru Nakayama (RIMS) Sampei Usui (Osaka University) For an inquirty, please contact to Akira Ohbuchi

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