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Host: The Abdus Salam International Centre for Theoretical Physics
Homepage: http://www.ictp.trieste.it/www_users/math/bull1158.html
Email: smr1158@ictp.trieste.it
Organizers: L. Göttsche (ICTP), J. Le Potier (Université de Paris VII, France), E. J. N. Looijenga, (University of Utrecht, The Netherlands), M. S. Narasimhan (ICTP)
Deadline for abstracts: February 15, 1999
Description:
The first two weeks will be devoted to instructional lectures of an
expository nature. The topics to be covered include:
I. Geometric Langlands Programme
1. E. Frenkel (Berkeley, U.S.A.): Geometric Aspects of Langlands Programme. 2. C. Sorger (Paris, France): Moduli of principal bundles on curves.
II. Moduli spaces of sheaves
1. G. Ellingsrud (Oslo, Norway) & L. Goettsche (ICTP, Trieste, Italy): Hilbert scheme of points and the Heisenberg algebra. 2. L. Goettsche (ICTP, Trieste, Italy): Donaldson Invariants in Algebraic Geometry. 3. D. Huybrechts (Koeln, Germany) & M. Lehn (Goettingen, Germany): Geometry of moduli spaces of sheaves. 4. J. Morgan (Columbia, U.S.A.): Vector bundles on elliptic fibrations. 5. C. S. Seshadri (Chennai, India): Degeneration of moduli spaces of vector bundles on curves.
III. Moduli spaces of curves and quantum cohomology
1. R. Hain (Duke, U.S.A.): Topological and Hodge theoretical aspects of moduli spaces of curves. 2. Y. Ihara (Kyoto, Japan)*: Arithmetical aspects of moduli spaces of curves. 3. E. Looijenga (Utrecht, Netherlands): Introduction to moduli spaces of curves. 4. R. Pandharipande (Caltech, U.S.A.): Quantum Cohomology.
(*) In collaboration with M. Matsumoto (Kyoto, Japan) and H. Nakamura (Tokyo, Japan).
These lectures are intended for young researchers and graduate students in Algebraic Geometry as well as other mathematicians with a background in Algebraic Geometry who wish to work in the above topics.
The third week will be devoted to a Conference, with lectures by experts on the most recent developments in the field.
Speakers: A. Beauville (ENS, Paris, France), H. Nakajima (Kyoto, Japan), J. Bryan (Tulane, USA), P. Newstead (Liverpool, U.K.), B. Fantechi (Trento, Italy), S. Ramanan (TIFR, Mumbai, India), K. O'Grady (Rome I, Italy), C. Voisin (Paris, France), J. Li (Stanford, U.S.A.), K. Yoshioka (Kobe, Japan), E. Frenkel (Berkeley, U.S.A.), C. Sorger (Paris, France), G. Ellingsrud (Oslo, Norway), L. Goettsche (ICTP, Trieste, Italy), D. Huybrechts (Koeln, Germany), M. Lehn (Goettingen, Germany), J. Morgan (Columbia, U.S.A.), C. S. Seshadri (Chennai, India), R. Hain (Duke, U.S.A.), Y. Ihara (Kyoto, Japan), E. Looijenga (Utrecht, Netherlands), R. Pandharipande (Caltech, U.S.A.)
Mail Address:
Abdus Salam International Centre for Theoretical Physics Strada Costiera, 11-34014 Trieste, Italy Telephone: +39 040 2240111 Cable: CENTRATOM Telex: 460392 ICTP I Telefax: +39 040 224163
Date received: February 22, 1999
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