"RENCONTRE PLURICANONIQUE"

paysage

June  18 - 22, 2006

Maison du Kleebach (Vallée de Munster)

Projet  ``Aspects algébriques et analytiques de la géométrie
complexe en dimension supérieure''
financé par l'ANR.


The goal of the workshop is to report on the recent works of Hacon-McKernan, Takayama, Tsuji (and others) on the applications of multiplier ideals to higher dimensional algebraic geometry.

Participants are expected to arrive on Sunday 18, in the afternoon.  The workshop starts Monday morning and ends Wednesday afternoon.
The departure is planned for Thursday 22 morning.

PROGRAM :

Monday 19 :

9:30 - 10:30 : Catriona MACLEAN : "Introduction, definitions and properties of multiplier ideals".

Coffee break

11:00 - 12:00 : Christophe MOUROUGANE : "The classic case of surfaces, after Kodaira & Bombieri".

12:30 : Lunch

16:00 - 17:00 : Stéphane DRUEL : "
Kawamata's subadjunction theorem".

17:15 - 18:15 : Philippe EYSSIDIEUX : "Positivity of  direct images of the relative dualizing sheaf".


19:00 : Dinner

Tuesday 20 :

9:30 - 10:30 : Robert LATERVEER : "Approximate Zariski decomposition".

Coffee break

11:00 - 12:00 :  
Gianluca  PACIENZA : "Sketch of Takayama's proof".

12:30 : Lunch

15:15 - 16:15 :
Gianluca  PACIENZA : "Lifting sections from a hypersurface, after Takayama".

16:30 - 17:30 : Olivier DEBARRE : "Lifting sections from an arbitrary subvariety, after Takayama".

17:45 - 18:45 : Benoit CLAUDON : "Extension of pluricanonical forms".

19:00 : Dinner


Wednesday 21 :

9:30 - 10:30 : Sébastien BOUCKSOM : "On the existence of n-flips, after Hacon & McKernan, I".

Coffee break

11:00 - 12:00 : Sébastien BOUCKSOM : "On the existence of n-flips, after Hacon & McKernan, II".


12:30 : Lunch

16:00 - 17:00 : Katia  AMERIK : "Shokurov's conjecture, after Hacon & McKernan".

17:15 - 18:15 :
Shigeharu TAKAYAMA : "Uniruledness of stable base loci".

19:00 : Special alsacien dinner.

PARTICIPANTS :

Ekaterina Amerik, Laurent Bonavero,
Sébastien Boucksom, Amael Broustet, Frédéric Campana, Cinzia Casagrande, Benoit Claudon, Olivier Debarre, Tommaso de Fernex, Olivier Dodane, Stéphane Druel, Philippe Eyssidieux, Andreas Hoering, Robert Laterveer, Catriona Maclean, Christophe Mourougane, Gianluca Pacienza, Mihai Paun, Shigeharu Takayama.


 kleebach


Contact :
pacienza[at]math.u-strasbg.fr