Workshop on Gauge Theory and Noncommutative Geometry
June 19–21, 2012, University of Luxembourg
Supported by:
University of Luxembourg
Mathematics Research Unit
Aim and scope
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Since their inception, gauge theories (also known as Yang-Mills theories) have continued to play a central role in both physics and mathematics. In physics, gauge fields explain the dynamics of elementary particles moving under a given group of symmetries. In mathematics, they describe topological and differential invariants of manifolds.
- differential calculi and connections on noncommutative spaces;
- metric compatibility of connections; noncommutative Riemannian geometry;
- gauge theory and quantum groups;
- gauge theory of noncommutative manifolds; noncommutative instantons.
Recent years have witnessed an explosion in the development of gauge theories on `noncommutative' or `quantum' manifolds (i.e. spaces whose algebra of functions is no longer commutative). Notable successes include a description of the Standard Model of particle physics in pure noncommutative-geometric terms and the construction of moduli spaces of self-dual gauge fields (instantons) on certain noncommutative spaces.
The aim of this workshop is to bring together an elite collection of expert mathematicians and physicists to present topics which represent the cutting edge of research into gauge theories on noncommutative spaces, from both the algebraic and analytic points of view. In particular, the participants will discuss the following themes:
Organisers
- Simon Brain (Luxembourg) < simon.brain (at) uni.lu >
- Lucio S. Cirio (Luxembourg) < lucio.cirio (at) uni.lu >
- Chiara Pagani (Luxembourg) < chiara.pagani (at) uni.lu >
- Martin Schlichenmaier (Luxembourg) < martin.schlichenmaier (at) uni.lu >
Speakers
- Tomasz Brzeziński (Swansea University, UK)
- Piotr M. Hajac (IMPAN, Warsaw, Poland)
- Giovanni Landi (Università degli Studi di Trieste, Italy)
- Shahn Majid (Queen Mary, London, UK)
- Thierry Masson (Centre de Physique Théorique de Marseille, France)
- Alexander Schenkel (Bergische Universität Wuppertal, Germany )
- Richard J. Szabo (Heriot-Watt University, UK)
- Walter D. van Suijlekom (Radboud University Nijmegen, The Netherlands)
Scientific Committee
| David E. Evans (Cardiff) | Nicolaas P. Landsman (Nijmegen) |
| Norbert Poncin (Luxembourg) | Marc A. Rieffel (Berkeley) |
| Pierre Schapira (Jussieu) | Martin Schlichenmaier (Luxembourg) |
| Elmar Schrohe (Hannover) |