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
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.