SCHOOL (AND WORKSHOP) ON

CREMONA TRANSFORMATIONS

TORINO, SEPTEMBER 19-25, 2005




First announcement


Lecturers.

I. V. Dolgachev (Michigan University, USA)
A. Verra (Università di Roma III, It)

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

geometri [nospam] calvino.polito.it

Aim of the School.
The Schhol 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.
The Cremona group of the birational transformations of a projective n-dimensional space is, still now, not very much understood, at least if n is not lesser than 3. The School will focus on the description of the finite subgroups of the Cremona group of projective plane and on the classical series of examples of Cremona transformations of projective 3-dimensional space. The relations with the modern birational geometry will be discussed as well various related topics, among them: homaloidal hypersurfaces, special linear systems of plane curves, congruences of rational curves and their birational classification, rationality problems for conic bundles, etcetera.

Further announcements.
A more detailed second announcement (containing informations on accomodation, registration and financial supports) will follow probably in February 2005.