ICTP - The Abdus Salam International Centre for Theoretical Physics, Trieste, Italy
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SCHOOL ON ALGEBRAIC GEOMETRY

(26 July - 13 August 1999)

Preliminary Programme (1st and 2nd week)

ALL LECTURES WILL BE HELD IN THE MAIN LECTURE HALL, MAIN BUILDING

WEEK 1 (26 - 30 July)

Monday, 26 July
08.30-12.00Registration and administrative formalities

14.05-14.15Opening
14.15-15.15 G. Ellingsrud (University of Oslo)/L. Goettsche (ICTP)
Hilbert scheme of points and Heisenberg algebra. (1)
15.30-16.30 D. Huybrechts (Koeln)/M. Lehn (Goettingen)
Geometry of moduli spaces of sheaves. (1)
16.45-17.45 E. Loijenga (University of Utrecht, Netherlands)
Introduction to moduli spaces of curves. (1)

Tuesday, 27 July
09.30-10.30 D. Huybrechts (Koeln)/M. Lehn (Goettingen)
Geometry of moduli spaces of sheaves. (2)
11.00-12.00 J. Morgan (Columbia University, New York, U.S.A.)
Vector bundles on elliptic fibrations. (1)

14.00-15.00 G. Ellingsrud (University of Oslo)/L. Goettsche (ICTP)
Hilbert scheme of points and Heisenberg algebra. (2)
15.15-16.15 E. Loijenga (University of Utrecht, Netherlands)
Introduction to moduli spaces of curves. (2)
16.30-17.30 R. Hain (Duke University, Durham, U.S.A.)
Topological and Hodge theoretical aspects of moduli spaces of curves. (1)

Wednesday, 28 July
09.30-10.30 D. Huybrechts (Koeln)/M. Lehn (Goettingen)
Geometry of moduli spaces of sheaves. (3)
11.00-12.00 J. Morgan (Columbia University, New York, U.S.A.)
Vector bundles on elliptic fibrations. (2)

14.00-15.00 G. Ellingsrud (University of Oslo)/L. Goettsche (ICTP)
Hilbert scheme of points and Heisenberg algebra. (3)
15.15-16.15 E. Loijenga (University of Utrecht, Netherlands)
Introduction to moduli spaces of curves. (3)
16.30-17.30 R. Hain (Duke University, Durham, U.S.A.)
Topological and Hodge theoretical aspects of moduli spaces of curves. (2)

Thursday, 29 July
09.30-10.30 D. Huybrechts (Koeln)/M. Lehn (Goettingen)
Geometry of moduli spaces of sheaves. (4)
11.00-12.00 D. Huybrechts (Koeln)/M. Lehn (Goettingen)
Geometry of moduli spaces of sheaves. (5)

14.00-15.00 J. Morgan (Columbia University, New York, U.S.A.)
Vector bundles on elliptic fibrations. (3)
15.15-16.15 G. Ellingsrud (University of Oslo)/L. Goettsche (ICTP)
Hilbert scheme of points and Heisenberg algebra. (4)
16.30-17.30 R. Hain (Duke University, Durham, U.S.A.)
Topological and Hodge theoretical aspects of moduli spaces of curves. (3)

Friday, 30 July
09.30-10.30 D. Huybrechts (Koeln)/M. Lehn (Goettingen)
Geometry of moduli spaces of sheaves. (6)
11.00-12.00 J. Morgan (Columbia University, New York, U.S.A.)
Vector bundles on elliptic fibrations. (4)

14.00-15.00 J. Morgan (Columbia University, New York, U.S.A.)
Vector bundles on elliptic fibrations. (5)
15.15-16.15 E. Loijenga (University of Utrecht, Netherlands)
Introduction to moduli spaces of curves. (4)
16.30-17.30 R. Hain (Duke University, Durham, U.S.A.)
Topological and Hodge theoretical aspects of moduli spaces of curves. (4)

WEEK 2 (2 - 6 August)

Monday, 2 August
09.30-10.30 C. Sorger (Ecole Normale Superieure, Paris, France)
Moduli of principal bundles on curves. (1)
11.00-12.00 L. Goettsche (I.C.T.P., Trieste, Italy)
Donaldson invariants in algebraic geometry. (1)

14.00-15.00 E. Frenkel (University of California at Berkeley, U.S.A.)
Geometric Aspects of Langlands Programme. (1)
15.15-16.15 C.S. Seshadri (SPIC Mathematical Institute, Chennai, India)
Degeneration of moduli spaces of vector bundles on curves. (1)
16.30-17.30 M. Matsumoto (Kyushu University, Fukuoka, Japan)
Arithmetical aspects of moduli spaces of curves. (1)

Tuesday, 4 August
09.30-10.30 C. Sorger (Ecole Normale Superieure, Paris, France)
Moduli of principal bundles on curves. (2)
11.00-12.00 L. Goettsche (I.C.T.P., Trieste, Italy)
Donaldson invariants in algebraic geometry. (2)

14.00-15.00 E. Frenkel (University of California at Berkeley, U.S.A.)
Geometric Aspects of Langlands Programme. (2)
15.15-16.15 C.S. Seshadri (SPIC Mathematical Institute, Chennai, India)
Degeneration of moduli spaces of vector bundles on curves. (2)
16.30-17.30 R. Pandharipande (CALTECH, Pasadena, U.S.A.)
Quantum cohomology. (1)

Wednesday, 4 August
09.30-10.30 C. Sorger (Ecole Normale Superieure, Paris, France)
Moduli of principal bundles on curves. (3)
11.00-12.00 L. Goettsche (I.C.T.P., Trieste, Italy)
Donaldson invariants in algebraic geometry. (3)

14.00-15.00 M. Matsumoto (Kyushu University, Fukuoka, Japan)
Arithmetical aspects of moduli spaces of curves. (2)
15.15-16.15 C.S. Seshadri (SPIC Mathematical Institute, Chennai, India)
Degeneration of moduli spaces of vector bundles on curves. (3)
16.30-17.30 R. Pandharipande (CALTECH, Pasadena, U.S.A.)
Quantum cohomology. (2)

Thuesday, 5 August
09.30-10.30 C. Sorger (Ecole Normale Superieure, Paris, France)
Moduli of principal bundles on curves. (4)
11.00-12.00 M. Matsumoto (Kyushu University, Fukuoka, Japan)
Arithmetical aspects of moduli spaces of curves. (3)

14.00-15.00 E. Frenkel (University of California at Berkeley, U.S.A.)
Geometric Aspects of Langlands Programme. (3)
15.15-16.15 C.S. Seshadri (SPIC Mathematical Institute, Chennai, India)
Degeneration of moduli spaces of vector bundles on curves. (4)
16.30-17.30 R. Pandharipande (CALTECH, Pasadena, U.S.A.)
Quantum cohomology. (3)

Friday, 6 August
09.30-10.30 M. Matsumoto (Kyushu University, Fukuoka, Japan)
Arithmetical aspects of moduli spaces of curves. (3)
11.00-12.00 L. Goettsche (I.C.T.P., Trieste, Italy)
Donaldson invariants in algebraic geometry. (4)

14.00-15.00 E. Frenkel (University of California at Berkeley, U.S.A.)
Geometric Aspects of Langlands Programme. (4)
15.15-16.15 R. Pandharipande (CALTECH, Pasadena, U.S.A.)
Quantum cohomology. (4)

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