SCHOOL (AND WORKSHOP) ON

VECTOR BUNDLES AND

LOW CODIMENSIONAL SUBVARIETIES

TORINO, SEPTEMBER 11-16, 2006




First announcement


Lecturers.

Ph. Ellia (Università di Ferrara, It)
R.M. Mirò-Roig (Universitat de Barcelona, Sp)

Organizers.
The School/Workshop is organized by G. Casnati, C. Fontanari, R. Notari, M.L. Spreafico. For contacting the organizers send a mail to

geometri [nospam] calvino.polito.it

Aim of the School.
The School is mainly aimed to Phd students and young researchers in Algebraic Geometry, introducing the participants to research, beginning from a basic level with a view towards the applications and to the most recent results.
A tentative program is as follows.
Low Codimensional Subvarieties (Ph. Ellia). Secant varieties and projections, normal bundle and double points formula, Severi-Lefschetz-Grothendieck theorem, Severi's theorem for surfaces in P5. Barth-Larsen theorem. Hartshorne conjecture. Zak's theorem on linear normality and vanishing results. Classification in codimension two: Ellingsrud-Peskine theorem for surfaces of non general type in P4; Serre correspondance and Ran's theorem; smooth divisors of projective hypersurfaces.
Vector Bundles (R.M. Mirò-Roig). Stability of vector bundles and its properties. Moduli functor. Fine and coarse moduli spaces. Monads and stability. Moduli spaces of vector bundles on surfaces. Moduli spaces of vector bundles on higher dimensional varieties.

Further announcements.
A more detailed second announcement (containing informations on accomodation, registration and financial supports) will follow probably in February 2006.