PROBQUANTGROUPS
PROBABILITY AND QUANTUM GROUPS
| Coordinatore | INSTYTUT MATEMATYCZNY POLSKIEJ AKADEMII NAUK.
Organization address
address: ul. Sniadeckich 8 contact info |
| Nazionalità Coordinatore | Poland [PL] |
| Totale costo | 119˙533 € |
| EC contributo | 119˙533 € |
| Programma | FP7-PEOPLE
Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) |
| Code Call | FP7-PEOPLE-2009-IEF |
| Funding Scheme | MC-IEF |
| Anno di inizio | 2010 |
| Periodo (anno-mese-giorno) | 2010-10-01 - 2012-09-30 |
Partecipanti
| # | ||||
|---|---|---|---|---|
| 1 |
INSTYTUT MATEMATYCZNY POLSKIEJ AKADEMII NAUK.
Organization address
address: ul. Sniadeckich 8 contact info |
PL (WARSZAWA) | coordinator | 119˙533.60 |
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Obiettivo del progetto (Objective)
'The project lies at the intersection of functional analysis, probability theory and quantum algebra, with possible applications to mathematical physics. It is broadly concerned with the analysis of evolutions of systems related to quantum groups, using the language of noncommutative probability. The latter, which extends the classical stochastic theory, is necessary to describe random phenomena encountered in the microscopic world. A specific goal is the mathematically rigorous investigation of probabilistic aspects of both local and long-time behaviour of systems in the presence of quantum symmetry, represented by quantum groups. Recent years have brought a dynamic development of general theory and prolification of concrete examples of quantum groups and, more generally, quantum spaces. It is natural to expect that stochastic methods and interpretations will be indispensable to deepen the understanding of both discrete and continuous dynamical systems arising in this context. Connections with noncommutative geometry are also expected to be uncovered, thus extending the longstanding fruitful interaction between classical probability, geometry and algebraic structures.'