|
Day |
Time |
Content |
|
Wednesday, June 26th |
13:30 – 13:45 |
Registration |
|
13:45 – 14:00 |
Opening speech |
|
|
14:00 – 15:00 |
Lecture 1: The projective plane P^2 and the blow-up of P^2 at one point. Divisors, linear systems and intersection form on them. |
|
|
15:00 – 15:30 |
Break |
|
|
15:30 – 16:30 |
Lecture 2: Examples of rational surfaces: Hirzebruch-Segre surfaces and elementary transformations between them. |
|
|
Thursday, June 27th |
09:00 – 10:00 |
Lecture 3:Examples of rational surfaces: del Pezzo surfaces |
|
10:00 – 10:30 |
Break |
|
|
10:30 – 11:30 |
Lecture 4:Examples of plane Cremona maps: quadratic ones. |
|
|
11:30 – 14:00 |
Lunch |
|
|
14:00 – 15:00 |
Lecture 5:Base locus of a plane Cremona map: infinitely near, proximate and satellite base points. |
|
|
15:00 – 15:30 |
Break |
|
|
15:30 – 16:30 |
Lecture 6: Equations of conditions. Noether's inequality. Hudson's test. |
|
|
Friday, June 28th |
09:00 – 10:00 |
Lecture 7:Examples of plane Cremona maps: de Jonquières' ones. Decomposition of a de Jonquières map into quadratic ones. |
|
10:00 – 10:30 |
Break |
|
|
10:30 – 11:30 |
Lecture 8: A classical proof of Noether-Castelnuovo Theorem |
|
|
11:30 – 14:00 |
Lunch |
|
|
14:00 – 15:00 |
Lecture 9: A modern approach: the Sarkisov programme. |
|
|
15:00 – 15:30 |
Break |
|
|
15:30 – 16:30 |
Lecture 10: Cremona equivalence of plane curves. |
