Objectif
Group theory is one of the oldest branches of modern mathematics. It has truly fascinating connections with combinatorics, representation theory, coding theory, algebraic geometry, physics, and chemistry. The Classification (Theorem) of Finite Simple Groups is one of the greatest intellectual achievements of the human mind. It describes the basic building blocks of finite groups. Its proof is over 10 000 journal pages long and it incorporates 100 years of mathematics. One of the motivations of this proposal is to find applications in pure mathematics of this remarkable theorem (CFSG).
Attila Maróti, the researcher of the present proposal, is an active participant in this area of research. After three and four years of successful work in the United Kingdom and the United States respectively he intends to return to Hungary and pursue his research program in the stimulating and supportive environment of the Rényi Institute. His efforts would be enforced by the complementary skills of the experts at the host in the theory of universal algebra, and in profinite group theory. In addition, the researcher would receive advanced training in extremal graph theory, and in combinatorics which are important for his future career. The ultimate goal of the researcher is to integrate his research at the host and start new or revive past scientific collaboration with members of the host.
The project would strengthen and diversify the mathematical profile of Hungary, one of the twelve new Member States of the European Union, by introducing an important new line of mainstream research and by providing new links to colleagues worldwide. The project would also contribute towards reversing brain drain. In short, the proposed project would enhance the potential and the attractiveness of the European Research Area.
Champ scientifique
Appel à propositions
FP7-PEOPLE-IRG-2008
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Régime de financement
MC-IRG - International Re-integration Grants (IRG)Coordinateur
1053 Budapest
Hongrie