Positivity and Vanishing Theorems

6 juin 2016, 08:00 → 10 juin 2016, 18:00 Europe/Paris

des conférences (Lille 1 University)

Laytimi

Positivity  has long been a major theme in various branches of algebraic geometry, both as an object of study and as a technical tool. the subject has seen major developments in a large number of different directions particulary in Vanishing theorems and their applications. Vanishing theorems has been initiated by The medal Fields Kodaira and developped after by the work of Nakano,-Akizuki, Griffith's, Kawamata-Viehweg, LE Potier, Schneider , Peterenell , Claire Voisin, Lazarsfeld, Kollar, Mori, Demailly, Manivel and  Nahm-laytimi. This subject was  the crucial tool in solving  some conjectures like   Fujita conjecture, Hartshorne conjecture, in Quadratic Normality, Barth Lefshetz theorem.