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         Algebraic Geometry:     more books (100)
  1. Rudiments of algebraic geometry (University texts in the mathematical sciences) by William Elliott Jenner, 1963
  2. Algebraic and Analytic Geometry (London Mathematical Society Lecture Note Series) by Amnon Neeman, 2007-09-24
  3. Principles of Algebraic Geometry by Phillip Griffiths, Joseph Harris, 1994-08-02
  4. The Geometry of Syzygies: A Second Course in Algebraic Geometry and Commutative Algebra (Graduate Texts in Mathematics) by David Eisenbud, 2005-02-01
  5. Algebraic Geometry: A First Course (Graduate Texts in Mathematics) by Joe Harris, 2010-11-02
  6. Basic Algebraic Geometry 2: Schemes and Complex Manifolds (Volume 0) by Igor R. Shafarevich, 1994-08-08
  7. Algorithms in Real Algebraic Geometry (Algorithms and Computation in Mathematics) by Saugata Basu, Richard Pollack, et all 2010-11-02
  8. Model Theory and Algebraic Geometry: An introduction to E. Hrushovski's proof of the geometric Mordell-Lang conjecture (Lecture Notes in Mathematics)
  9. Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra (Undergraduate Texts in Mathematics) by David Cox, John Little, et all 2006-02-24
  10. Computing in Algebraic Geometry: A Quick Start using SINGULAR (Algorithms and Computation in Mathematics) by Wolfram Decker, Christoph Lossen, 2009-12-15
  11. Computational Algebraic Geometry (London Mathematical Society Student Texts) by Hal Schenck, 2003-10-06
  12. Fundamental Algebraic Geometry (Mathematical Surveys and Monographs) by Barbara Fantechi, Lothar Gottsche, et all 2006-12-10
  13. Classification of Higher Dimensional Algebraic Varieties (Oberwolfach Seminars) by Christopher D. Hacon, Sándor Kovács, 2010-07-16
  14. Algebraic Geometry I: Complex Projective Varieties (Classics in Mathematics) (v. 1) by David Mumford, 1995-02-15

21. Mirror Symmetry And Algebraic Geometry
Mirror Symmetry and algebraic geometry Mathematical Surveys and MonographsVolume 68 American Mathematical Society, 1999. by. David
http://www.cs.amherst.edu/~dac/ms.html
Mirror Symmetry and Algebraic Geometry
Mathematical Surveys and Monographs
Volume 68
American Mathematical Society
by
David A. Cox,
Amherst College
Sheldon Katz,

University of Illinois at Urbana-Champaign
What's in the Book
Typographical Errors
A list of typographical errors is available for the first printing of Mirror Symmetry and Algebraic Geometry TeX source or postscript Also, Proposition 5.5.4 on page 98 is incorrect and the proof given on pages 99 and 100 has some gaps. The above list of typographical errors gives the correct statement of the proposition but is not able to fix all of the errors in the proof (the correct proof is a much longer argument which doesn't fit into the space available on page 99). If you want to see the full details of the proof, click here for a postscript file of the proof.
Contacting the American Mathematical Society
To find Mirror Symmetry and Algebraic Geometry in the AMS on-line catalog, go to the AMS bookstore and enter mirror symmetry in the Quick Search. This brings up a list of all AMS publications which touch on mirror symmetry (there are a lot). From here, it is easy to get to the catalog entry for our book, which includes a brief description and ordering information.
Contacting the Authors
You can contact the authors at the following email addresses: dac@cs.amherst.edu

22. ANNAPOLIS ALGEBRAIC GEOMETRY CONFERENCE
In memory of Ruth Michler. US Naval Academy, Annapolis, Maryland, USA; 2528 October 2001.Category Science Math algebraic geometry Events Past Events......2001 Annapolis algebraic geometry Conference. In memory of Ruth Michler.October 2528, 2001. US Naval Academy, Annapolis, Maryland.
http://mathweb.mathsci.usna.edu/Faculty/Conferences/AlgGeom2001/aagc.html
2001 Annapolis Algebraic Geometry Conference
In memory of Ruth Michler
October 25-28, 2001
U. S. Naval Academy, Annapolis, Maryland
TOPICS: Singularities, Commutative Algebra, Computational Methods and Applications REGISTRATION: Please notify Caroline Melles if you will attend, even if you aren't giving a talk, to facilitate planning. A registration fee ($25 for mathematicians with full-time employment; $15 for graduate students and others) is payable on arrival. ORGANIZERS: Caroline Grant Melles, U. S. Naval Academy, 410-293-6722 (fax 410-293-4883) cgg@usna.edu
Lee J. McEwan, The Ohio State University, 419-755-4257 mcewan@math.ohio-state.edu
Gary Kennedy, The Ohio State University, 419-755-4291 kennedy@math.ohio-state.edu
Kristin Lauter, Microsoft Research, 425-703-8335 klauter@microsoft.com Program Speakers Travel Information ... Proceedings
Comments to webmaster document.write("Last modified: "+document.lastModified+"");

23. The Math Forum - Math Library - Algebraic Geom.
This page contains sites relating to algebraic geometry. more . Thealgebraic geometry Notebooks Aksel Sogstad For non-experts.
http://mathforum.org/library/topics/algebraic_g/
Browse and Search the Library
Home
Math Topics Geometry : Algebraic Geom.

Library Home
Search Full Table of Contents Suggest a Link ... Library Help
Selected Sites (see also All Sites in this category
  • Algebraic Geometry - Dave Rusin; The Mathematical Atlas
    A short article designed to provide an introduction to algebraic geometry, which combines the algebraic with the geometric for the benefit of both. Thus the recent proof of "Fermat's Last Theorem" - ostensibly a statement in number theory - was proved with geometric tools. Conversely, the geometry of sets defined by equations is studied using quite sophisticated algebraic machinery. This is an enticing area but the important topics are quite deep. This area includes elliptic curves. Applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus. more>>
  • The Algebraic Geometry Notebooks - Aksel Sogstad
    For non-experts. Contents: What is algebraic geometry?; What can algebraic geometry be used for?; Classification of curves in the Weierstrass familiy; Bezout's Theorem; Varieties, orbits and orbit-spaces; Automatic theorem proving using Singular. more>>
    All Sites - 96 items found, showing 1 to 50
  • 24. Algebraic Geometry Conferences
    Conferences in algebraic geometry. Algebraic Cycles and algebraic geometry,Morelia, Mexico, 2329 May 2001, announcement. Past conferences.
    http://www.cgtp.duke.edu/~drm/conferences/
    Conferences in Algebraic Geometry
    Conference information may be submitted to drm@math.duke.edu You may also be interested in subscribing to the new Geometry Conference Mailing List
    Upcoming conferences
    Note written 12 April 2001: This site is still being maintained; however, very few conference announcements have been submitted recently.
    • Algebraic Cycles and Algebraic Geometry, Morelia, Mexico, 23-29 May 2001, announcement
    Past conferences

    25. Coding Theory And Algebraic Geometry An Interplay
    A short explanation of Goppa codes by JWP Hirschfeld.Category Science Math Communication Theory Coding Theory......Coding Theory and algebraic geometry an Interplay. Here coding bounds givebetter values than methods of algebraic geometry. The Construction.
    http://www.dms.auburn.edu/~rodgec1/cadcom/mathappl/hirssnap/hirssnap.html
    Coding Theory and Algebraic Geometry: an Interplay
    One in a series of snapshots of applications of discrete mathematics to other parts of mathematics.
    J. W. P. Hirschfeld
    University of Sussex
    United Kingdom The Context
    In 1981, Goppa derived a class of linear codes from algebraic curves over finite fields which (a) are quite general as codes, (b) have parameters circumscribed by the Riemann-Roch theorem, and (c) have asymptotic properties which improve the classical Gilbert-Varshamov bound. The discovery of these codes also gave renewed stimulus to investigations on the number of rational points on an algebraic curve for a particular genus as well as to asymptotic values of the ratio of the number of points to the genus. Manin showed that for small fields coding theory methods give better results for this ratio than the Hasse-Weil theorem. The Problem The three most important parameters of a linear code over the finite field are the length n which gives the speed of transmission, the dimension k which gives the number of words in the code, and the minimum distance

    26. Coding Theory, Algebraic Geometry And Gröbner Bases
    DA Leonard. One in a series of snapshots of applications of discrete mathematics to other parts Category Science Math Communication Theory Coding Theory......Coding Theory, algebraic geometry and Gröbner Bases. One in a series of snapshotsof applications of discrete mathematics to other parts of mathematics.
    http://www.dms.auburn.edu/~rodgec1/cadcom/mathappl/leonsnap/leonsnap.html
    One in a series of snapshots of applications of discrete mathematics to other parts of mathematics.
    D. A. Leonard
    Auburn University The Context The Problem
    The general decoding problem for any code, is to take a received word (that is, a corrupted code word) and produce (efficiently) the nearest code word to it (or equivalently the smallest error possible). For linear codes (subspaces), this is generally done by using functions of the received word which only depend on the error, not on the specific code word transmitted. Such functions are called syndromes For Reed-Solomon codes over , currently used in various applications such as CD technology, the syndromes are with the given received word, and a primitve element of One then uses a Berlekamp-Massey algorithm (or the extended Euclidean algorithm) to produce an error-locator polynomial (or an error-evaluator polynomial). Then one has a choice of producing all , (by viewing as a recurrence relation and the given syndromes as initial conditions) and using an inverse transform, with the (most likely) error or factoring , producing , and using Forney's formula: Algebraic-Geometric Codes Algebraic-geometric codes (the duals of those described in ``Coding Theory and Algebraic Geometry: An Interplay'') are generalizations of the Reed-Solomon codes above. As such, there should be an efficient decoding scheme that is modelled on the algorithm above. The first important algorithm in this process was the generalization of the Berlekamp-Massey algorithm to higher dimensions, published in the late 80's by Sakata. This lead to reasonably efficient vector-space based techniques, each with some flaws, either in the number of errors, number of points, or efficiency. The next important idea was published in 93 by Feng and Rao. This majority voting scheme allowed for production of more ``syndromes'' while row-reducing the syndrome matrix. Only recently has this been synthesized into a generalization of the above algorithm.

    27. OUP: Algebraic Geometry And Arithmetic Curves: Liu
    algebraic geometry and Arithmetic Curves. Readership Graduate studentsin algebraic geometry and number theory. Contents/contributors.
    http://www.oup.co.uk/isbn/0-19-850284-2
    VIEW BASKET Quick Links About OUP Career Opportunities Contacts Need help? oup.com Search the Catalogue Site Index American National Biography Booksellers' Information Service Children's Fiction and Poetry Children's Reference Dictionaries Dictionary of National Biography Digital Reference English Language Teaching Higher Education Textbooks Humanities International Education Unit Journals Law Medicine Music Oxford English Dictionary Reference Rights and Permissions Science School Books Social Sciences World's Classics UK and Europe Book Catalogue Help with online ordering How to order Postage Returns policy ... Table of contents
    Algebraic Geometry and Arithmetic Curves
    Qing Liu Reine Erne
    Publication date: 9 May 2002
    Oxford University Press 592 pages, numerous figures, 234mm x 156mm
    Series: Oxford Graduate Texts in Mathematics (0-19-961947-6)
    Search for titles in the same series

    Ordering Individual customers
    order by phone, post, or fax

    Teachers in UK and European schools (and FE colleges in the UK):
    order by phone, post, or fax

    • Includes essential background methods
    • Contains nearly 600 exercises to help students assimilate the information and test themselves
    • Explains both theory and applications clearly
    • Makes important current research accessible to graduate students

    Description
    • 'This book is unique in the current literature on algebraic and arithmetic geography, therefore a highly welcome addition to it, and particularly suitable for readers who want to approach more specialized works in this field with more ease. The exposition is exceptionally lucid, rigorous, coherent and comprehensive.' -

    28. Preprints.html
    Several lecture note sets by Igor Dolgachev in various formats, including DVI and PostScript.Category Science Math Publications Online Texts...... MODULAR FORMS (ps, pdf). INTRODUCTION TO algebraic geometry. Lectures 117(ps). Lectures 1-8( ps, pdf). TOPICS IN CLASSICAL algebraic geometry.
    http://www.math.lsa.umich.edu/~idolga/lecturenotes.html
    Lecture Notes
    Enriques surfaces I: Corrections ( ps pdf
    LECTURES ON INVARIANT THEORY ( pdf
    INTRODUCTION TO PHYSICS
    MODULAR FORMS ( ps pdf
    INTRODUCTION TO ALGEBRAIC GEOMETRY
    • Lectures 1-17 ( ps
    INTRODUCTION TO STRING THEORY
    TOPICS IN CLASSICAL ALGEBRAIC GEOMETRY
    • Lecture 1 ( ps
    • Lecture 2 ( ps
    • Lecture 3 ( ps
    • Lecture 4 ( ps
    • Lecture 5 ( ps
    • Lecture 6 ( ps
    • Lecture 7 ( ps
    • Lecture 8 ( ps

    29. Algebraic Geometry Seminar --- Winter, 2003
    algebraic geometry Seminar. 400 600 pm 3088 East Hall. Abstract configurationsin algebraic geometry. March 19, 2003, Ravi Vakil Stanford, Schubert induction.
    http://www.math.lsa.umich.edu/~rlaz/seminar.html
    Algebraic Geometry Seminar 4:00 - 6:00 p.m.
    3088 East Hall
    The seminar normally meets from 4:10 to about 6:00 pm, with a break around 5 pm. We encourage speakers to make the first hour of each talk expository and introductory in nature, so that this part of the seminar will be accessible to graduate students and postdocs in other fields. Details and technicalities are welcome (but not required!) after the break. For more information, contact Rob Lazarsfeld rlaz@umich.edu
    Seminar Schedule - Winter, 2003
    Jan. 8, 2003 Ezra Miller

    MSRI Positive Formulae for Quiver Polynomials Jan. 15, 2003 No Seminar Jan. 22, 2003 Y. Lee
    Sogang Univ. Smoothable stable log surfaces Jan. 29, 2003 J. Keum
    KIAS Universal coverings of open K3 surfaces Feb. 5, 2003 J.-C. Chen
    Harvard Flops, moduli spaces and derived categories Feb. 8 - 9, 2003 UM - OSU Algebraic Geometry Workshop
    in Columbus, OH Workshop web page at
    www.math.ohio-state.edu/
    conferences/um-osu-algeo Feb. 12, 2003 G. Pacienza
    OSU Subvarieties of general type on general projective hypersurfaces Feb. 19, 2003

    30. Activities In Algebraic Geometry & Related Areas
    A list maintained at Instituto Superior Técnico, Lisbon.Category Science Math Geometry algebraic geometry Events...... Algebraic
    http://www.math.ist.utl.pt/galg/
    Links to Activities
    in
    Algebraic Geometry and Related Areas
    (Lisbon)
    Classes Regular Seminars

    31. EAGER - European Algebraic Geometry Research Training Network

    http://www-euclid.mathematik.uni-kl.de/
    Your browser does not support frames! Click here for the EAGER welcome page.
    Click here for the EAGER menu.

    32. EAGER:List Of Conferences
    A list maintained by the EAGER node at Kaiserslautern, Germany.Category Science Math Geometry algebraic geometry Events......Conferences in algebraic geometry and related fields. The workshop will be devotedto current work on higher categorical structures in algebraic geometry.
    http://www-euclid.mathematik.uni-kl.de/conferences/
    Conferences in algebraic geometry and related fields
    This list of announcements and links to upcoming activitiesis compiled by submission .If you know of an activity that should be added to this list,please contact its organizer or Kristian Ranestad the administrator of this page
    Conferences here include also schools, workshops and specialmonths/years. Past conferences
    Current conferences

    Upcoming conferences
    Upcoming conferences
    to Gael XI at Luminy, France
    Organizers: Marie-Amelie Bertin, Igor Burban, Christian Sevenheck, Orsola Tommasi
    Additional information at http://euclid.mathematik.uni-kl.de/~gael
    Further remarks:
    GAEL is a meeting of young algebraic geometers working in Europe.
    With its 11th edition, GAEL is a well-established tradition as a meeting for young mathematicians active in the field of algebraic geometry. The meeting, planned for about 40 people, provides in an informal atmosphere the ideal opportunity for direct contact with established mathematicians (senior participants) as well as for getting to know each other. The senior participants this year will be Alessio Corti, Bernd Siebert and Shigeru Mukai. They will give several talks on the geometry of threefolds. However, the emphasis is on talks of young participants, which will take up most of the time and cover a wide variety of topics in algebraic geometry.
    Registration fee: 90 Euro
    Application deadline for participation/travel support: January 17th 2003.

    33. The Algebraic Geometry Notebooks
    By Aksel Sogstad. Short introductory sketch of some topics in the algebraic geometry of curves.Category Science Math Geometry algebraic geometry......The algebraic geometry Notebooks. for NonExperts. by Aksel Sogstad.
    http://www.geocities.com/algnotes/
    The Algebraic Geometry Notebooks
    for Non-Experts
    by Aksel Sogstad
  • What is algebraic geometry? What can algebraic geometry be used for? Classification of curves in the Weierstrass familiy Bezout's Theorem ... Automatic theorem proving using Singular
  • 34. 2003 - Special Year On Algebraic Geometry And Topology
    2003 Special Year on algebraic geometry and Topology. with partial financialsupport provided by the Australian Mathematical Sciences Institute
    http://wwwmaths.anu.edu.au/events/specialyear-2003/

    M
    ATHEMATICAL
    S
    CIENCES ... NIVERSITY
    2003 - Special Year on Algebraic Geometry and Topology
    with partial financial support provided by the Australian Mathematical Sciences Institute Events Visitors Registration ... MSI The year 2003 is a Special Year on Algebraic Geometry and Topology within the Mathematical Sciences Institute There will be some major events during this year, such as conferences, workshops and symposia. However, the Special Year is also a chance for local, national and international mathematicians to simply get together. Please use the menu to navigate these pages, and feel free to register online Reminder (28.2.2003)
    We remind the participants that it is to their advantage to register early. The nicest accommodation will go first, and the people who register late will end up with less desirable places to stay. It is to your advantage to register early, even if your dates are only approximate. Registration should be done electronically, on the web page. The program for the conferences will be set up shortly before the conferences start, on the basis of submitted abstracts. Everyone is invited to submit abstracts. Amnon Neeman
    Amnon.Neeman@maths.anu.edu.au

    35. Calf Junior Algebraic Geometry Seminar
    Cambridge-Oxford-Warwick Junior algebraic geometry Seminar. Occasional UK meetings, mailing list.Category Science Math Geometry algebraic geometry Events......Calf CambridgeOxford-Warwick Junior algebraic geometry Seminar. The next Calfmeeting will be the second to coincide with the Warwick teach-in on 3-folds
    http://www.maths.warwick.ac.uk/~djr/calf.html
    Calf Cambridge-Oxford-Warwick
    Junior Algebraic Geometry Seminar
    The next Calf meeting will be the second to coincide with the Warwick teach-in on 3-folds Mathematics Institute, University of Warwick, Thursday 24 January 2002
    • Cinzia Casagrande (Roma I) - Toric Mori theory and contractions to nonprojective varieties
    • Carolina Araujo (Princeton) - Introduction to rationally connected varieties
    • Tom Bridgeland (Edinburgh) - Derived categories and elliptic curves
    The Calf is a seminar series for graduate students and other young people interested in algebraic geometry. It is currently run by Dan Ryder in Warwick; other local organisers are Alessandro Chiodo in Cambridge, Elizabeth Mann in Oxford and Julius Ross at Imperial College, London. Announcements of Calf meetings are circulated on the Calf mailing list; if you are not on this list, send an e-mail to majordomo@maths.warwick.ac.uk with the single line `subscribe calf' as the message body. Calf links: COW EAGER EAGER UK London geometry and topology seminar ... Higher-dimensional geometry programme at the Newton Institute, Spring 2002

    36. Number Theory And Algebraic Geometry Research Group
    Number Theory and algebraic geometry Research Group. Members, research interest, seminars.Category Science Math Number Theory Research Groups...... PO Box 653, Be'erSheva 84105, ISRAEL. Number Theory and algebraic geometryResearch Group. algebraic geometry and Number Theory Seminar.
    http://www.math.bgu.ac.il/~efrat/resgroup.html
    BEN GURION UNIVERSITY OF THE NEGEV
    DEPARTMENT OF MATHEMATICS
    P.O. Box 653, Be'er-Sheva 84105, ISRAEL
    Number Theory and Algebraic Geometry Research Group
    Eitan Bachmat
    PhD: MIT 1994
    Main Research Interests: Arakelov theory, Hilbert modular varieties
    E-mail: ebachmat@cs.bgu.ac.il Daniel Berend
    PhD: The Hebrew University of Jerusalem 1982
    Main Research Interests (in Number Theory): Distribution modulo 1 (especially density modulo 1), Diophantine approximations, some classes of Diophantine equations
    E-mail: berend@black.bgu.ac.il Amnon Besser
    PhD: Tel Aviv University 1993
    Main Research Interests: Number theory, Arithmetic geometry, p-adic integration, p-adic cohomology, Shimura varieties, Automorphic forms, Algebraic cycles, Algebraic K-theory.
    E-mail: bessera@math.bgu.ac.il Ido Efrat
    PhD: Tel-Aviv University 1990 Main Research Interests: Galois theory, Field Arithmetic, Structure of Canonical Galois groups, Valuation theory E-mail: efrat@math.bgu.ac.il Sa'ar Hersonsky PhD: University of Illinois at Chicago 1994 Main Research Interests: Hyperbolic manifolds E-mail: saarh@math.bgu.ac.il

    37. Algebraic Geometry Group
    algebraic geometry Group, News, News. Research Areas. Members. Guests. Universityof Kaiserslautern • Department of Mathematics • algebraic geometry Group.
    http://www.mathematik.uni-kl.de/~wwwagag/E/

    38. International Conference On Arithmetic Algebraic Geometry
    Venice, Italy; 1318 September 1999.Category Science Math Number Theory Events Past Events......Welcome to the website of the Conference. ENTER
    http://www.math.unipd.it/~venice99/
    Welcome to the web-site
    of the Conference.
    ENTER

    39. M C G I L L M A T H E M A T I C S M C G I L L M A T H E M A T I C
    algebraic geometry research group. Members and activities, research interests fully described.Category Science Math Geometry algebraic geometry Research Groups...... M C G I L L. M A T H E M A T I C S. algebraic geometry is one of the oldest and vastestbranches of mathematics. Check it out! Activities in algebraic geometry.
    http://www.math.mcgill.ca/goren/AGwebpage/webpage2.htm
    M
    C
    G
    I
    L
    L M
    A
    T
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    E
    M A T I C S M C G I L L M A T H E M A T I C S M C G I L L M A T H E M A T I C S M C G I L L M A T H E M A T I C S M C G I L L M A T H E M A T I C S M C G I L L M A T H E M A T I C S M C G I L L M A T H E M A T I C S M C G I L L M A T H E M A T I C S M C G I L L M A T H E M A T I C S M C G I L L M A T H E M A T I C S Algebraic geometry is one of the oldest and vastest branches of mathematics. Besides being an active field of research for many centuries, it plays a central role in number theory , differential geometry, group theory, mathematical physics and other branches of science. In McGill, algebraic geometry is represented by Peter Russell and Eyal Goren and is very much connected to the interests of other members of the department: Henri Darmon , Jacques Husrtubise and Niky Kamran . We are running a joint seminar with CICMA Activities in Algebraic Geometry. Initially, algebraic geometry was concerned with the study of curves in the plane and really started boosting up with the discovery of projective geometry . In this geometry, the line k k any field) is completed by adding one point at infinity resulting in the projective line P , the plane k is completed by adding a projective line at infinity to yield the projective plane P Thus P k U P k On a more conceptual level, the projective space

    40. Special Year: Langlands Programme
    Special year, Feb.2001 to Jan.2002, Tata Institute of Fundamental Research, Mumbai.Category Science Math algebraic geometry Events Past Events......Special year on. algebraic geometry and the LanglandsProgramme. February 1, 2001 January 31, 2002.
    http://www.math.tifr.res.in/maths/langlands/
    Special year on
    Algebraic Geometry and the Langlands Programme
    February 1, 2001 - January 31, 2002
    Main Page Courses Visitors Conference The School of Mathematics of the Tata Institute of Fundamental Research (Mumbai), will have a special year dedicated to Algebraic Geometry and the Langlands Programme ( February 1 , 2001 to January 31 , 2002). A 3 week workshop/conference will be organized at the end of the year. Area of interest. The area of the special year will be the Langlands programme in the case of function fields, both in characteristic zero and positive characteristic, and related areas of algebraic geometry. There has been a lot of activity in this subject in recent years. There has been very significant progress by Lafforgue towards a proof of the Langlands conjecture for GL(r) over function fields, using technology based on shtukas. Besides the above, there has also been recent progress in understanding from other geometric points of view, with significant work (or work in progress) by several authors. This work involves geometric approaches to the fundamental lemma, lattice varieties, local models, stacks of vector bundles and principal bundles on curves, Higgs bundles, Hitchin Hamiltonian systems, quantization, D-modules, perverse sheaves, infinite dimensional algebras of various kinds, etc. The whole range of the above topics, and various related topics as well, are of interest for the special year. As the area is vast, more attention will be given to certain topics, and this will of course be influenced by the participants. Our attempt will be also to include detailed lecture courses on a few chosen topics, which will be designed to allow mathematicians who are newcomers to this area to learn the basics. Together with this, the programme will feature advanced technical lectures by experts on the current state of the art. We will also try to get a fair number of less technical overview talks by experts, at the beginning of each new topic.

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