POLSYS - 2015 - Annual activity report

POLSYS

POLSYS - 2015

Project-Team Polsys

Members

Overall Objectives

Research Program

Introduction
Fundamental Algorithms and Structured Systems
Solving Systems over the Reals and Applications.
Low level implementation and Dedicated Algebraic Computation and Linear Algebra.
Solving Systems in Finite Fields, Applications in Cryptology and Algebraic Number Theory.

Highlights of the Year

New Software and Platforms

FGb
FGb Light
GBLA
RAGlib
SLV

New Results

Fundamental algorithms and structured polynomial systems
Solving Polynomial Systems over the Reals and Applications
Solving Systems in Finite Fields, Applications in Cryptology and Algebraic Number Theory

Bilateral Contracts and Grants with Industry

Bilateral Contracts with Industry
Industrial Transfer

Partnerships and Cooperations

National Initiatives
European Initiatives
International Initiatives
International Research Visitors

Dissemination

Promoting Scientific Activities
Teaching - Supervision - Juries
Popularization

Bibliography

Publications of the year

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Section: New Software and Platforms

FGb

Functional Description

FGb is a powerful software for computing Groebner bases.It includes the new generation of algorihms for computing Gröbner bases polynomial systems (mainly the F4,F5 and FGLM algorithms).It is implemented in C/C++ (approximately 250000 lines), standalone servers are available on demand. Since 2006, FGb is dynamically linked with Maple software (version 11 and higher) and is part of the official distribution of this software.

Participant: Jean-Charles Faugère
Contact: Jean-Charles Faugère
URL: http://polsys.lip6.fr/~jcf/Software/FGb/index.html

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