AMS SUMMER RESEARCH INSTITUTE ON ALGEBRAIC GEOMETRY University of California, Santa Cruz July 9, 1995 - July 29, 1995 THIRD ANNOUNCEMENT * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * REMINDER: IF YOU WISH TO ATTEND THE INSTITUTE, * * YOU MUST SIGN UP WITH THE AMS BY MARCH 15, 1995. * * SEE SECTION 2 BELOW FOR DETAILS. * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * This is the third announcement for the AMS Summer Research Institute in Algebraic Geometry to be held in Santa Cruz, California, in July, 1995. It updates some of the information contained in the Second Announcement released last November. [Main changes: the schedule for the third week of the institute has now been fixed, and there is a little more detail on administrative matters.] We also include information on a workshop running as part of the special year in algebraic geometry at Oklahoma State University that may be of interest to graduate students and recent PhD's who plan to attend the Santa Cruz Institute. Section 1 is discusses the scientific program, while administrative matters are discussed in Section 2. (The OSU Workshop for graduate students and recent PhD's is discussed in Section 3.) Please bear in mind that this information remains somewhat provisional, and it is possible that there will be some changes by July. (Moreover the grants supporting the Institute have still not been officially funded.) Finally, please remember that the March 15 deadline for contacting the AMS applies to ALL potential participants, even if no support is requested, or if you have been invited to speak by the Organizing Committee or the seminar directors. (1). THE SCIENTIFIC PROGRAM The scientific aspects of the Institute are the responsibility of the Organizing Committee. This Committee consists of Henri Gillet (UIC), Janos Kollar (Univ. Utah), Robert Lazarsfeld (chair) (UCLA), Robert MacPherson (IAS), David Morrison (Duke Univ) and Y.-T. Siu (Harvard). There will be four sorts of scientific activities at the Institute: (a). Plenary Lectures; (b). Seminars; (c). Mini-courses; (d). Seminars and lectures organized by participants. In addition, there will be a Graduate Student Seminar. (a). PLENARY LECTURES: In recent years, many exciting new areas and directions have opened up in algebraic geometry. The purpose of the plenary lecture series is to provide an introduction to some of these, geared to geometrically oriented algebraic geometers. Each series will consist of five one-hour lectures, scheduled in the morning. We list here the topics and dates of the main lectures, and the speakers (where available). Week One: Hodge Theory and Fundamental Groups (C. Simpson) Ideas from Physics (E. Witten, to be confirmed) [Mini-Course on Twistors (C. LeBrun)] Week Two: Complex Analytic Methods (J.-P. Demailly) Higher Dimensional Geometry (J. Kollar) Week Three: Arakelov Theory (C. Soule) [Mini-course on Motives (S. Bloch)] (b). SEMINARS: Several seminars will run in parallel in the afternoons. The following is a list of the seminars and organizers. The numbers in brackets indicate the weeks in which most of the activity of each seminar is likely to be concentrated. We have generally listed two weeks for each seminar, but it is possible that most of the talks will occur in one of these two. Algebraic Cycles: M. Nori [1,2] Arithmetic Geometry: Henri Gillet [2,3] Characteristic p Geometry: G. Laumon [2,3] Complex Analytic Questions: Y.-T. Siu [3] Computational Questions: B. Sturmfels and M. Green [3] Curves: A. Beauville [1,2] Higher Dimensional Geometry: S. Mori [2,3] Hodge theory and fundamental groups: D. Toledo and C. Simpson [1,2] Mirror Symmetry and Quantum Cohomology: D. Morrison [1] Singularities: J. Steenbrink [TBA] Surfaces: F. Catanese [1,2] Vector Bundles: R. Friedman and R. Lazarsfeld [1,2] (C). MINI-COURSES: We anticipate running several mini-courses of two or three lectures in subjects sharing a border with algebraic geometry. So far two have been confirmed: Twistors (Claude LeBrun) Motives (Spencer Bloch) (D). PARTICIPANT-ORGANIZED ACTIVITIES: As in past Institutes, rooms and times will be set aside to accommodate seminars or talks organized by participants. (E). GRADUATE STUDENT SEMINAR There will be a Graduate Student Seminar for graduate students in attendence, with David Cox of Amherst College and David Perkinson of Reed College acting as advisors. The seminar will be run by the graduate students and they will form the bulk of the speakers, giving talks on their thesis or providing background for other talks at the Institute. The students may also invite other Institute participants to give talks. The Seminar will meet on a daily basis, most likely in the evenings. Graduate students and recent PhDs should also be made aware of a related workshop at Oklahoma State University May 19-24, intended to provide them with background for some of the topics to be discussed in Santa Cruz. See the detailed information at the end of this document. Questions concerning the scientific program can be directed to R. Lazarsfeld by e-mail at algeom95@math.ucla.edu or to any of the organizers. (2). ADMINISTRATIVE INFORMATION The AMS is responsible for the administrative side of the Institute. The person in charge is the Conference Coordinator, Chris Harkness. He can be reached by e-mail at chh@math.ams.org or by mail or phone at: Summer Institute Coordinator American Mathematical Society PO Box 6887 Providence, RI 02940-6887 Phone: 401-455-4142. When you contact him, Mr. Harkness will send (electronically if possible) an acknowledgement which includes information on estimated rooming costs and the like. Detailed information and housing reservation forms will be included in a package sent out with the formal invitations in late April or early May. (The formal invitation procedure is discussed below.) The actual housing reservations will be handled by the staff of U.C. Santa Cruz. All participants will be asked to pay a modest registration fee. Strictly speaking, attendance at AMS Summer Research Institutes is by invitation only. But provided that no support is required, this should be merely an administrative formality (which however must be carried out by the established deadline). IF YOU ARE INTERESTED IN ATTENDING THE INSTITUTE, YOU MUST CONTACT THE CONFERENCE COORDINATOR BY MARCH 15, 1995. In addition to your name, address, phone, e-address and affiliation, please specify the weeks you wish to attend, and indicate whether you wish to apply for support. (See below concerning support.) The AMS also asks that you say a word about your work and its connection with algebraic geometry -- this is critical if you are applying for support. We anticipate that the formal invitations will go out go out from the AMS in late April or early May. IT MAY NOT BE POSSIBLE TO SECURE AN INVITATION IF YOU DO NOT CONTACT THE AMS BY THE MARCH 15 DEADLINE. (We'll try to be flexible about late applications, but logistical considerations may render this impossible.) Please note that even if you are an invited speaker, or have received a letter from the Organizing Committee encouraging you to attend, you must still contact the AMS to solicit a formal invitation and make arrangements for housing. The Institute's budget promises to be *extremely* tight. [We estimate that the total funds available for speaker and participant support and travel will be approximately $85,000, which is very small for a conference of this scope.] We plan to provide some support for the main lecturers and invited speakers. In addition, we will set aside funds to provide partial support for other participants. The organizing committee intends to target this money at younger researchers (particularly those outside the major centers) and members of under-represented groups. Any potential participant is welcome to apply for support, but realistically speaking it is likely that all available funds will go to the groups indicated. If you have any questions of an administrative nature, please contact the AMS Conference Coordinator. (3.) A RELATED WORKSHOP Algebraic Geometry Workshop for Graduate Students and Recent PhDs Oklahoma State University, Stillwater, OK May 19-24, 1995 The goal of this workshop is to provide graduate students and recent PhDs in algebraic geometry with a background in some of the more important topics to be discussed at the 1995 AMS Summer Research Institute on Algebraic Geometry. This program will help prepare the participants for the Summer Institute's lectures. Several of the senior participants in the Summer Institute are expected to lecture during the workshop. The workshop is part of the Special Year in Algebraic Geometry at OSU. It is supported in part by the National Science Foundation and Oklahoma State University. For further information including information about financial support, contact Veronica Liles at lveroni@math.okstate.edu or (405) 744-5688. More details will be announced later. Please pass this information on to graduate students and recent PhDs who may be interested in participating in the workshop. [Feb. 28, 1995]