Advanced School in Basic Algebraic Geometry | (smr 1487) (07-18 July 2003)

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Advanced School in Basic Algebraic Geometry | (smr 1487)

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Monday, 7 July 2003

08:30 - 10:00 Registration

Location: Main Building, Lobby
- 08:30 Registration 1h30'
14:00 - 14:15 Opening
- 14:00 Opening 15'

14:15 - 15:15 Grothendieck topologies and descent (1)

14:15 Grothendieck topologies and descent (1) 1h0'

Speaker:	A. Vistoli (Università di Bologna, Italy)
Material:	lecture notes

15:15 - 15:45 Break
- 15:15 Break 30'

15:45 - 16:45 Construction of Hilbert and Quot schemes (1)

15:45 Construction of Hilbert and Quot schemes (1) 1h0'

Speaker:	N. Nitsure (TIFR, Mumbai, India)
Material:	lecture notes

Tuesday, 8 July 2003

09:30 - 10:30 Grothendieck topologies and descent (2)

09:30 Grothendieck topologies and descent (2) 1h0'

Speaker:	A. Vistoli (Università di Bologna, Italy)
Material:	lecture notes

10:30 - 11:00 Break
- 10:30 Break 30'

11:00 - 12:00 Construction of Hilbert and Quot schemes (2)

11:00 Construction of Hilbert and Quot schemes (2) 1h0'

Speaker:	N. Nitsure (TIFR, Mumbai, India)
Material:	lecture notes

12:00 - 14:00 Lunch Break
- 12:00 Lunch Break 2h0'

14:00 - 15:00 Grothendieck topologies and descent (3)

14:00 Grothendieck topologies and descent (3) 1h0'

Speaker:	A. Vistoli (Università di Bologna, Italy)
Material:	lecture notes

15:00 - 15:30 Break
- 15:00 Break 30'
15:30 - 17:00 Tutorials and exercises
- 15:30 Tutorials and exercises 1h30'

Wednesday, 9 July 2003

09:30 - 10:30 Grothendieck topologies and descent (4)

09:30 Grothendieck topologies and descent (4) 1h0'

Speaker:	A. Vistoli (Università di Bologna, Italy)
Material:	lecture notes

10:30 - 11:00 Break
- 10:30 Break 30'

11:00 - 12:00 Grothendieck's existence theorem in formal geometry (1)

11:00 Grothendieck's existence theorem in formal geometry (1) 1h0'

Speaker:	L. Illusie (Université Paris-Sud, France)
Material:	lecture notes

12:00 - 14:00 Lunch Break
- 12:00 Lunch Break 2h0'

14:00 - 15:00 Construction of Hilbert and Quot schemes (3)

14:00 Construction of Hilbert and Quot schemes (3) 1h0'

Speaker:	N. Nitsure (TIFR, Mumbai, India)
Material:	lecture notes

15:00 - 15:30 Break
- 15:00 Break 30'
15:30 - 17:00 Tutorials and exercises
- 15:30 Tutorials and exercises 1h30'

Thursday, 10 July 2003

09:30 - 10:30 Grothendieck topologies and descent (5)

09:30 Grothendieck topologies and descent (5) 1h0'

Speaker:	A. Vistoli (Università di Bologna, Italy)
Material:	lecture notes

10:30 - 11:00 Break
- 10:30 Break 30'

11:00 - 12:00 Construction of Hilbert and Quot schemes (4)

11:00 Construction of Hilbert and Quot schemes (4) 1h0'

Speaker:	N. Nitsure (TIFR, Mumbai, India)
Material:	lecture notes

12:00 - 14:00 Lunch Break
- 12:00 Lunch Break 2h0'

14:00 - 15:00 Grothendieck topologies and descent (6)

14:00 Grothendieck topologies and descent (6) 1h0'

Speaker:	A. Vistoli (Università di Bologna, Italy)
Material:	lecture notes

15:00 - 15:30 Break
- 15:00 Break 30'
15:30 - 17:00 Tutorials and exercises
- 15:30 Tutorials and exercises 1h30'

Friday, 11 July 2003

09:30 - 10:30 Grothendieck topologies and descent (7)

09:30 Grothendieck topologies and descent (7) 1h0'

Speaker:	A. Vistoli (Università di Bologna, Italy)
Material:	lecture notes

10:30 - 11:00 Break
- 10:30 Break 30'

11:00 - 12:00 Grothendieck's existence theorem in formal geometry (2)

11:00 Grothendieck's existence theorem in formal geometry (2) 1h0'

Speaker:	L. Illusie (Université Paris-Sud, France)
Material:	lecture notes

12:00 - 14:00 Lunch Break
- 12:00 Lunch Break 2h0'

14:00 - 15:00 Construction of Hilbert and Quot schemes (5)

14:00 Construction of Hilbert and Quot schemes (5) 1h0'

Speaker:	N. Nitsure (TIFR, Mumbai, India)
Material:	lecture notes

15:00 - 15:30 Break
- 15:00 Break 30'
15:30 - 17:00 Tutorials and exercises
- 15:30 Tutorials and exercises 1h30'

Monday, 14 July 2003

09:30 - 10:30 Picard schemes (1)

09:30 Picard schemes (1) 1h0'

Speaker:	S.L. Kleiman (MIT, Cambridge, USA)
Material:	lecture notes

10:30 - 11:00 Break
- 10:30 Break 30'

11:00 - 12:00 Grothendieck's existence theorem in formal geometry (3)

11:00 Grothendieck's existence theorem in formal geometry (3) 1h0'

Speaker:	L. Illusie (Université Paris-Sud, France)
Material:	lecture notes

12:00 - 14:00 Lunch Break
- 12:00 Lunch Break 2h0'

14:00 - 15:00 Construction of Hilbert and Quot schemes (6)

14:00 Construction of Hilbert and Quot schemes (6) 1h0'

Speaker:	N. Nitsure (TIFR, Mumbai, India)
Material:	lecture notes

15:00 - 15:30 Break
- 15:00 Break 30'

15:30 - 16:30 Local properties of Hilbert schemes and Hilbert schemes of points (1)

15:30 Local properties of Hilbert schemes and Hilbert schemes of points (1) 1h0'

Speaker:	L. Göttsche (ICTP)
Material:	lecture notes

Tuesday, 15 July 2003

09:30 - 10:30 Grothendieck topologies and descent (8)

09:30 Grothendieck topologies and descent (8) 1h0'

Speaker:	A. Vistoli (Università di Bologna, Italy)
Material:	lecture notes

10:30 - 11:00 Break
- 10:30 Break 30'

11:00 - 12:00 Picard schemes (2)

11:00 Picard schemes (2) 1h0'

Speaker:	S.L. Kleiman (MIT, Cambridge, USA)
Material:	lecture notes

12:00 - 14:00 Lunch Break
- 12:00 Lunch Break 2h0'

14:00 - 15:00 Local properties of Hilbert schemes and Hilbert schemes of points (2)

14:00 Local properties of Hilbert schemes and Hilbert schemes of points (2) 1h0'

Speaker:	L. Göttsche (ICTP)
Material:	lecture notes

15:00 - 15:10 Brief presentation of the Third World Academy of Sciences
- 15:00 Brief presentation of the Third World Academy of Sciences 10'
15:10 - 15:30 Break
- 15:10 Break 20'
15:30 - 17:00 Tutorials and exercises
- 15:30 Tutorials and exercises 1h30'

Wednesday, 16 July 2003

09:30 - 10:30 Picard schemes (3)

09:30 Picard schemes (3) 1h0'

Speaker:	S.L. Kleiman (MIT, Cambridge, USA)
Material:	lecture notes

10:30 - 11:00 Break
- 10:30 Break 30'

11:00 - 12:00 Grothendieck's existence theorem in formal geometry (4)

11:00 Grothendieck's existence theorem in formal geometry (4) 1h0'

Speaker:	L. Illusie (Université Paris-Sud, France)
Material:	lecture notes

12:00 - 14:00 Lunch Break
- 12:00 Lunch Break 2h0'

14:00 - 15:00 Grothendieck topologies and descent (9)

14:00 Grothendieck topologies and descent (9) 1h0'

Speaker:	A. Vistoli (Università di Bologna, Italy)
Material:	lecture notes

15:00 - 15:30 Break
- 15:00 Break 30'
15:30 - 17:00 Tutorials and exercises
- 15:30 Tutorials and exercises 1h30'

Thursday, 17 July 2003

09:30 - 10:30 Grothendieck's existence theorem in formal geometry (5)

09:30 Grothendieck's existence theorem in formal geometry (5) 1h0'

Speaker:	L. Illusie (Université Paris-Sud, France)
Material:	lecture notes

10:30 - 11:00 Break
- 10:30 Break 30'

11:00 - 12:00 Picard schemes (4)

11:00 Picard schemes (4) 1h0'

Speaker:	S.L. Kleiman (MIT, Cambridge, USA)
Material:	lecture notes

12:00 - 14:00 Lunch Break
- 12:00 Lunch Break 2h0'

14:00 - 15:00 Local properties of Hilbert schemes and Hilbert schemes of points (3)

14:00 Local properties of Hilbert schemes and Hilbert schemes of points (3) 1h0'

Speaker:	L. Göttsche (ICTP)
Material:	lecture notes

15:00 - 15:30 Break
- 15:00 Break 30'
15:30 - 17:00 Tutorials and exercises
- 15:30 Tutorials and exercises 1h30'

Friday, 18 July 2003

09:30 - 10:30 Grothendieck topologies and descent (10)

09:30 Grothendieck topologies and descent (10) 1h0'

Speaker:	A. Vistoli (Università di Bologna, Italy)
Material:	lecture notes

10:30 - 11:00 Break
- 10:30 Break 30'

11:00 - 12:00 Local properties of Hilbert schemes and Hilbert schemes of points (4)

11:00 Local properties of Hilbert schemes and Hilbert schemes of points (4) 1h0'

Speaker:	L. Göttsche (ICTP)
Material:	lecture notes

12:00 - 14:00 Lunch Break
- 12:00 Lunch Break 2h0'

14:00 - 15:00 Picard schemes (5)

14:00 Picard schemes (5) 1h0'

Speaker:	S.L. Kleiman (MIT, Cambridge, USA)
Material:	lecture notes

15:00 - 15:30 Break
- 15:00 Break 30'

15:30 - 16:30 Picard schemes (6)

15:30 Picard schemes (6) 1h0'

Speaker:	S.L. Kleiman (MIT, Cambridge, USA)
Material:	lecture notes