SCHOOL (AND WORKSHOP) ON

VECTOR BUNDLES AND

LOW CODIMENSIONAL SUBVARIETIES

TRENTO, SEPTEMBER 11-16, 2006




Second announcement


Lecturers.
The main lectures will be delivered by

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

Supporting lectures will be delivered by

L. Costa (Universitat de Barcelona, Sp)

General informations on the School and Workshop.
The School/Workshop is organized by G. Casnati, C. Fontanari, R. Notari, M.L. Spreafico. For contacting the organizers please send an e-mail to

geometri [nospam] calvino.polito.it

The School/Workshop is supported by ITC-CIRM and by SISSA, Dipartimento di Matematica-Università di Torino, Dipartimento di Matematica-Politecnico di Torino as part of the joint Project "Geometry on Algebraic Varieties" cofinanced by Italian MIUR.
The School and the Workshop will take place at

ITC-IRST
via Sommarive, 18
38050 Povo (Trento) - Italy

Notice that the place is Trento, not Torino as indicated in the first announcement.

Aim of the School.
The School is mainly aimed at 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.

Aim of Workshop.
The Workshop is intended to discuss the state of the art. At today the following speakers have confirmed their participation: U. Bruzzo, F. Catanese, L. Chiantini, O. Garcia-Prada, J.O. Kleppe, G. Ottaviani, G. Trautmann, P. Valabrega. People interested in delivering a short communication are kindly requested to submit the title and an abstract within August 26th to

geometri [nospam] calvino.polito.it

Schedule.
The School will start on Monday, 11th at 12.00 and it will end on Thursday, 14th at 17.00. Workshop will start on Friday 15th at 09.00 and it will end on Saturday 16th at 14.00. On Friday evening a social dinner open to the participants of the School/Workshop will be organized.

Financial supports for Participants.
There are 10 grants covering lodging expenses in double rooms for young participants. Applicants must fill in the online application form before June, 30th. The organizing commitee will examine the applications and will send out notifications of acceptance by July 20th.

Registration.
Participants who do not require financial support are expected to fill in the on line registration form before July, 31st.

Further announcements.
A third announcement will follow, probably in June.