2005 Iran

2005 IRAN

(version française de la page)

Scientific reports	Michel Waldschmidt (in French, pdf) Rahim & Rashid Zaare-Nahandi (pdf)
Local web site: http://www.iasbs.ac.ir/math/grobner/

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CIMPA-UNESCO-IRAN School

Gröbner Bases Applications

Objectives :

The school will present different aspects of computational methods in commutative algebras and algebraic geometry and their applications in various branches of mathematics, to introduce students and young researchers who can apply these methods in their work. Furthermore this will create an opportunity to establish a network of mathematicians from the region for collaboration on joint research projects with possibility of connections with leading experts on the subject.

Scientific committee and speakers:

Bruno Buchberger (RISC-Linz, Austria), Laurent Buse (INRIA, France), Marc Chardin (CNRS & University of Paris 6, France), Aldo Conca (Genova, Italy), David Eisenbud (Berkeley & MSRI, USA), Gert-Martin Greuel (Kaiserslautern, Germany), Lorenzo Robbiano (Genova, Italy), Marie-Francoise Roy (Rennes 1,France), Amin Shokrollahi (Lausanne, Switzerland), Bernd Sturmfels (Berkeley & MSRI, USA), Bernard Teissier (CNRS & Jussieu, France), Rashid Zaare-Nahandi (IASBS, Iran, local coordinator).

Working languages:

English

Date and location :

July 9-22, 2005, Zanjan (Iran)

Scientific programme:

1. Historical introduction (2 lectures),

2. From Gröbner bases to theorem proving and back (5 lectures),

3. Resultants, eliminations and Gröbner bases (3 lectures),

4. Castelnuovo-Mumford regularity (3 lectures),

5. Gröbner bases and determinantal ideals (5 lectures),

6. SINGULAR, a system for polynomial computations (3 lectures),

7. Computer algebra and finite groups (3 lectures),

8. CoCoA, Computation in Commutative Algebra (5 lectures),

9. Coding theory and Gröbner bases (5 lectures),

10. Combinatorial aspects of Gröbner bases (4 lectures).

Prerequisites :

graduate–level background in algebra and some backgrounds in commutative algebra