COGENT · Cohomology, Geometry, Explicit Number Theory

Линиите свързват координатора с партньорите.

Накратко на български

Цел на проекта

The aim of COGENT is to develop, analyze and apply efficient algorithms in three core areas where computer algebra plays an important role: Cohomology, Geometry and Explicit Number Theory. These will have applications to a broad range of mathematical problems, and will touch as well upon related topics like cryptography and quantum computing. Such applications of mathematics are expected to have a wide-ranging impact on economic and societal problems. Recent years have seen a plethora of high-flying projects and a dazzling variety of applications of methods in computer algebra. One of the emerging challenges is to combine ideas of different areas of computer algebra, to share expertise between them, and to educate young researchers in theoretical and practical methods with a focus of transferring knowledge and training software development skills. COGENT provides an innovative training program to facilitate this and has ambition to stimulate interdisciplinary knowledge exchange between number theorists, algebraists, geometers, computer scientists and industrial actors facing real-life challenges in symbolic computation in order to bridge key knowledge gaps. This will address the urgent need for computer assisted investigations of several longstanding conjectures in mathematics, and EU industry’s need for workers with an advanced mathematical and computational skill set. Not only do we expect to merge the best known tools for these purposes with innovative approaches and ideas to extract previously inaccessible cohomological information of the underlying arithmetic groups, but we also anticipate finding new hitherto unknown concepts as we intend to enhance the currently available data pool by a whole order of magnitude. The latter will allow the researchers to find hidden patterns, with the ambition to form a solid basis for formulating novel cornerstone conjectures, ideally in the spirit of the famous Million-Dollar Birch and Swinnerton-Dyer Conjecture.

Оригинален текст от CORDIS (на английски).

Участници

• UNIVERSITE GRENOBLE ALPES · GrenobleКоординаторФранция
• BOARD OF GOVERNORS OF THE COLORADO STATE UNIVERSITY SYSTEM · Fort CollinsСъединени щати
• ID QUANTIQUE SA · CarougeШвейцария
• MSM PROGRAMING DRUSTVO S OGRANICENOM ODGOVORNOSCU ZA USLUGE · KLINCA SELAХърватия
• REGENTS OF THE UNIVERSITY OF MICHIGAN · ANN ARBORСъединени щати
• REGENTS OF THE UNIVERSITY OF OKLAHOMA · NormanСъединени щати
• STICHTING VU · AmsterdamНидерландия
• TECHNISCHE UNIVERSITAET BRAUNSCHWEIG · BraunschweigГермания
• THE UNIVERSITY OF SHEFFIELD · SHEFFIELDОбединеното кралство
• The University of North Carolina at Greensboro · GreensboroСъединени щати
• UNIVERSITE DE BORDEAUX · BordeauxФранция
• UNIVERSITY OF DURHAM · DURHAMОбединеното кралство
• UNIVERSITY OF GALWAY · GalwayИрландия
• UNIVERSITY OF MASSACHUSETTS · AmherstСъединени щати

Връзки

• Виж в CORDIS
• DOI: 10.3030/101169527