FP6Staff exchange2005–2009

DISCCONVGEO · Discrete and Convex Geometry

FP6 — Marie Curie Actions (Human Resources and Mobility)

Duration
2005-09-01 → 2009-08-31
EU contribution
€405,686
Participants
7
Scheme
TOK

Lines connect the coordinator with its partners. CORDIS does not always give exact coordinates for projects before 2014. These points are placed at city or country level.

Results in brief

Final Activity Report Summary - DISCCONVGEO (Discrete and convex geometry)

Thirteen experienced and five young researchers spent a total of 46 months in the Renyi Institute. Each long term visitor gave talks presenting new results and methods. They met colleagues and graduate students at the Eotvos University, the Technical University of Budapest and the University of Szeged. In accordance with the plan, three members of the Renyi Institute spent a total of 24 months at our partner institutions, the Fee University Berlin, the Swiss Federal Institute of Technology (ETH) Zurich, the University College London, the Charles University Prague, the Universite Marne-la-Vale and the Technical University of Catalonia. We organised four international meetings, the Geometry Fest in 2007, the Conference on Intuitive Geometry and the Discrete and Convex Geometry Workshop in 2008 and the Conference on Algorithmic and Combinatorial Geometry in 2009. We also organised three small workshops. These events offered an excellent opportunity to exchange new ideas. Various joint research projects were initiated with visitors to Hungary, as well as with members of the partner institutions. They resulted so far in 16 published or accepted papers. Another seven papers were submitted for publication by the time of the project completion while several research projects were still in the working phase.

Data: CORDIS, © European Union

Project objective

The intimately related fields discrete and convex geometry are fundamental areas of pure mathematics, and have very close ties to applications. The main beneficiary is computer science (the theory of algorithms, computer graphics, network designs), but there are important connections with solid-state physics (structure and growth of crystals and quasi-crystals). The Renyi Institute has been a leading centre of discrete and convex geometry for the last two decades, but its members have much to learn in certain areas to keep pace with the fast progress of science. With the help of the Transfer of Knowledge project, the discrete and convex geometry school at the host can strengthen the scientific potential of its own, on one hand, and the whole European Research Area, on the other hand.The discrete and convex geometry group has always been active in doing and organizing science on an international level. The ToK project can also reinforce the close contacts with scientists in Austria, Czech Republic, Poland, Rumania, Ukraine, etc.; therefore the knowledge transferred to the Renyi Institute strengthens the whole region. Since discrete and convex geometry has applications in and interrelations with many other fields in mathematics, by strengthening the group, the ToK project will increase substantially the research potential of the Renyi Institute in many areas of mathematics, and of Hungarian mathematics as a whole. In particular fundamental achievements are expected from collaborations with the traditionally strong Hungarian schools of combinatorics, number theory and statistical physics.

Original text from CORDIS.

Participants

  • ALFRED RENYI INSTITUTE OF MATHEMATICS - HUNGARIAN ACADEMY OF SCIENCES · BUDAPESTCoordinatorHungary
  • CHARLES UNIVERSITY PRAGUE · PRAHA 2Czechia
  • EIDGENOSSISCHE TH ZURICH-ZENTRUM · ZURICHCity levelSwitzerland
  • Freie Universität Berlin · BerlinGermany
  • UNIVERSITAT POLITECNICA DE CATALUNYA · BARCELONASpain
  • UNIVERSITE DE MARNE LA VALLEE · MARNE LA VALLEEFrance
  • UNIVERSITY COLLEGE LONDON · LONDONUnited Kingdom

Links

Data: CORDIS, © European Union