Welcome to GEOMAPS
Geometry and Mathematical Physics School (GEOMAPS) is a National Danish PhD-School. It was created the 1'st of January
2008 based on a grant from Danish Agency for Science, Technology and Innovation.
GEOMAPS focuses on research at the interface of geometry and
mathematical physics.
Research in this area has
produced many fundamental results both in mathematics and physics.
They include classical mechanics, electrodynamics, Einstein gravity
and modern quantum theories of elementary particles. An important
ingredient in this development was the general understanding of the
notion of symmetry and symmetry transformations.
A unifying quantum theory involving gravity is however still
missing. Scientists world-wide make great efforts to develop a
mathematically consistent theory which does exactly that. Perhaps,
most promising candidate to unify both gravity and modern quantum
field theory into a new paradigm is string theory. Working on
geometrical aspects of such theories will constitute the main
project-theme of the proposed research school.
The goal of GEOMAPS is threefold.
-
Raise a new generation of mathematicians and theoretical
physicists in Denmark with a common language and the ability to
freely operate at the interface of Geometry and Mathematical
Physics.
-
Unify the individual efforts of existing groups within the area
in Denmark and thereby consolidate and strengthen our combined
standing internationally.
-
Develop an on-line knowledge-base in Geometry and Mathematical
Physics, hosted at the research school.
Special GEOMAPS events.
- Workshop, GEOMAPS retreat, spring 2010 (Sandbjerg Estate, 17 - 19 March 2010))
- Winter School, 2nd Odense Winter School (Odense, 26 - 27 November 2009))
- Winter School, 1st Odense Winter School (Odense, 6 - 13 Januar 2008)
- Master Class, The Torelli Group
Andrew Putman (MIT) (Aarhus 17 – 21 March)
- Workshop,
Finite Type Invariants, Fat Graphs and
Torelli-Johnson-Morita Theory, (Aarhus 25 March – 4 April)
- Workshop,
Mathematical aspects of general relativity
(Copenhagen 7-17. April)
- Master Classs, Anastasia Volovich (Brown U.) (Copenhagen, 29/4 and 30/4)
- Workshop/Summer school, "New Paths Towards Quantum Gravity" (Holbaek, 12-16 Maj)
- Master Class,
Representation Theory in Quantum Mechanics by Eric van den Ban (Utrecht) (11/6 and 13/6)
- Master Class,
Ricci Flow and Geometrization of
Three-Manifolds (Aarhus 16 – 28 June)
- Workshop, Dynamical Electroweak Symmetry Breaking, (Odense 9-13 September)
- CTQM-GEOMAPS Nielsen Retreat, (Sandbjerg Estate 3-6 October)
- Master Class, on boundary conformal
field theory (Aahurs, Fall 2008)
- Master Class by John
Wood on Harmonic Maps (Odense, Fall 2008)
The research school is a collaboration between the Danish research teams within this area.
The five teams involved are
These five teams are internationally renowned research groups in
Denmark working in geometry and mathematical physics.
The research school will involve 30 to 40 PhD-students and it will
provide a national platform for educating PhD's at this vibrant
cross roads at the top international level.
GEOMAPS will unify the efforts of these five research groups in a
common quest to achieve the three stated goals in a common
national PhD-program, creating a synergy between the participating
institutions, and making optimal use of the viable resources.
The proposed initiative is focused on an inter-disciplinary theory
discipline, which is highlighted as a priority area in the
contract between the University of Aarhus and the Ministry of
Science, Technology and Innovation.
Organizational structure of GEOMAPS.
The PhD-school is directed by Jørgen Ellegaard Andersen. The board of
GEOMAPS consist of the following members
- Jørgen Ellegaard Andersen, (CTQM, AU) (Chairman)
- Nicolai Reshetikhin/Henning Haahr Andersen, (CTQM, AU)
- Andrew Swann, (IMADA, SDU)
- Francesco Sannino (IFK, SDU)
- Bergfinnur Durhuus (KUMI, KU)
- Jan Ambjørn (NBI, KU)
