SCHOOL (AND WORKSHOP) ON

POLYNOMIAL INTERPOLATION AND

PROJECTIVE EMBEDDINGS

TORINO, SEPTEMBER 15-20, 2003




First announcement


Lecturers.

L. Chiantini (Università di Siena, It)
R. Miranda (Colorado State University, USA)

Organizers.
The School/Workshop is organized by G. Casnati, N. Chiarli, S. Greco, 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. A tentative program is as follows.
The Riemann-Roch problem for linear systems with prescribed base conditions. Theorems and conjectures. Deformation methods, degeneration methods, linear algebra methods, relationship to approximation theory, splines, finite elements and interpolation, Waring's problem and defectivity.
Secant varieties of projective varieties. Tangent spaces to secant varieties: Terracini's lemma. Connections with interpolation problems and decomposition of products. Entry locus and the infinitesimal Bertini's principle. Defects and singular defects. Classification methods: the case of surfaces and threeefolds. Very defective varieties, Severi varieties, Zak's theorem and extensions.

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