SCHOOL (AND WORKSHOP) ON

COMPUTATIONAL ALGEBRA FOR

ALGEBRAIC GEOMETRY AND STATISTICS

TORINO, SEPTEMBER 6-11, 2004




First announcement


Lecturers.

W. Decker (Saarbrücken Universität, De)
S. Hosten (San Francisco State University, USA)

Organizers.
The School/Workshop is organized by G. Casnati, R. Notari, G. Pistone, 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 and Statistics, 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.
Computational Methods in Algebraic Geometry (W. Decker). Groebner basics in SINGULAR: Groebner bases, syzygies and free resolutions, Hilbert functions, dimension, applications to the geometry-algebra dictionary, elimination. Homological algebra: constructive module theory, flatness, Cohen-Macaulay rings. Primary decomposition and normalization. Algorithms in invariant theory. Computing sheaf cohomology and Beilinson monads.
Statistical Models: Algebra, Geometry, and Algorithms (S. Hosten). Introductory concepts: hierarchical models. Higher-dimensional tables and general toric models. Independence models: graphical models, Bayesian networks, and phylogenetic invariants. Design of experiments. Tropical algebraic geometry and the space of all phylogenetic trees. Counting, optimization, and disclosure limitation.

Further announcements.
A more detailed second announcement (containing informations on accomodation, registration and financial supports) will follow probably in February 2004.