GROUPS · European training courses and conferences in group theory (geometric, analytic and ergodic aspects of group theory)
6РП — Действия „Мария Кюри“
- Период
- 2007-01-01 → 2009-12-31
- Финансиране от ЕС
- 466 545 €
- Участници
- 6
- Схема
- EIF
Линиите свързват координатора с партньорите. За проекти отпреди 2014 г. CORDIS не винаги дава точни координати. Тези точки са на ниво град или държава.
Накратко на български
Теорията на групите изследва връзките между алгебричните и геометричните структури, като например теорията на графите и спектралната геометрия. Обменът на опит между експерти и млади изследователи помага за по-доброто разбиране на тези специализирани области в чистата математика.
Кратко обяснение, генерирано от езиков модел по текста на CORDIS. Оригиналът е по-долу.
Резултати накратко
Final Activity Report Summary - GROUPS (European Training Courses and Conferences in Group Theory (Geometric, Analytic and Ergodic Aspects of Group Theory))
This project consisted of a linked series of 7 conferences and training courses in a particular specialised area of pure mathematics, at the interface of geometry, group theory and dynamics. The aim was to bring together experts in these different areas in order for them to cooperated and learn about each other's special skills and benefit from these interchanges, while at the same time exposing doctoral students and young researchers to these new ideas involving the different areas. The conferences took place in Switzerland, Austria, France, Greece and Israel, and many international experts participated, from USA, Russia, Australia, Japan, and many other countries as well as participant European nations. The conferences and training courses followed the usual structure of mathematics conferences: mini courses of several one-hour talks, and individual one-hour talks on the frontier of current research. The exposure of young researchers and doctoral students to ideas both in their speciality and in nearby fields is an extremely useful part of their training, and such linked conference series are very useful to achieve this. It is hard to describe to the lay person the nature of the specialist fields studied here: the main relationship is between algebraic and geometric structures, in the area of group theory. In recent years much research has centred around this interface, and this series has brought together experts in the areas of graph theory and expanders (especially events 1 and 5), Mostow rigidity, logic, automorphism groups, outer space and geometric group theory (especially events 2 , 4 and 7), different concepts of boundaries for groups and spaces and actions thereon (events 1 and 6), K-theory and spectral geometry (event 7). The structure of each event was a residential session with several series of themed, linked mini courses by world experts, aimed at young researchers and experts in related fields: these took the traditional form of one-hour blackboard/power point talks. The main aim of the project was to bring together world experts and young researchers in these different fields, in order to encourage the exchanges that have begun between these areas. We believe that this series of events has done just this.
Текст от CORDIS, на английски · Данни: CORDIS, © Европейски съюз
Цел на проекта
This mathematics proposal, with group theory at its heart, covers an unusually diverse range of subjects: geometric group theory, harmonic analysis, operator algebras, ergodic theory, amenability, and random walks. These areas form the core of exciting new relationships and so a special effort must be made to encourage communication between experts and beginners in such diverse fields. To achieve this, we intend that participating young researchers attend all events, where international experts will expose them to the latest knowledge through 2 one-week conferences and 9 one-week training courses between 2007 and 2009. The quality of the lecturers is uniformly high with four Fields medallists, one Nevanlinna Prize Medallist, and 20 ICM speakers. The continued interaction will develop scientific collaborations between researchers from distinct fields, bringing enduring high-level international collaboration.The scale of the project is designed to bring synergy between European competences which are as yet not as strongly connected as they could be. The host participants are international research institutions with excellent facilities and long-term experience in the organization of scientific meetings: the CNRS/CIRM in France, the Bernoulli Research Centre in Switzerland, the Landau Centre in Israel, the Graz University of Technology in Austria, the Academic village of Anogia in Greece (Crete), the ESI in Austria.Although the proportion of women working in mathematics is very low, several outstanding researchers involved in the organization of the proposal are women (one scientist in charge, 12 lecturers) and special attention to gender issues will be paid concerning the selection of all groups of participants. The project will allow about 30 native European experts currently living and working outside of the European Community (mostly in the USA) to disseminate their latest knowledge and to keep contact with European researchers.
Оригинален текст от CORDIS (на английски).
Участници
- CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE · PARISКоординаторФранция
- ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE · LAUSANNEШвейцария
- ERWIN SCHRÖDINGER INTERNATIONAL INSTITUTE FOR MATHEMATICAL PHYSICS · VIENNAНиво градАвстрия
- NATIONAL AND KAPODISTRIAN UNIVERSITY OF ATHENS · ATHENSГърция
- TECHNISCHE UNIVERSITAET GRAZ · GRAZАвстрия
- THE HEBREW UNIVERSITY OF JERUSALEM · JERUSALEMИзраел
Връзки
Данни: CORDIS, © Европейски съюз