Differential Geometry
This is the homepage of the group of people in the Institute of Mathematics
of the University of Vienna
working in or interested in Differential Geometry, Algebraic Geometry, or
Algebraic Topology.
One of the main topics of our research in the area of Differential Geometry
is Infinite Dimensional Differential Geometry. Here, the geometry of manifolds
is under investigation that is modelled on general locally convex vector spaces.
In particular, the theory of infinite dimensional Lie groups (for example,
groups of diffeomorphisms on finite dimensional manifolds) is studied. In
the area of finite fimensional Differential Geometry the main research directions
are the study of actions of Lie groups, as well as geometric structures of
finite order and Cartan connections. This work has strong algebraic connections,
for example to the theory of algebraic groups and to the representation theory
of semisimple Lie groups. For more detailed information, please consult the
pages of the individual member of the group
Members of the differential geometry group played an important role in the
Initiativkolleg "Differential geometry and Lie
groups". This was a structured PhD program supported by the
University of Vienna which officially ended in November 2009. The speaker of
the Kolleg was Peter W. Michor.
Current members:
Post Docs:
- Matthias Hammerl
- Katja Sagerschnig
Graduate students:
- Martin Bauer
- Philipp Harms
- Osmar Maldonado
- Ales Navrat
- Katharina Neusser
Former members:
The ESI homepage:
ESI Lectures and seminars,
ESI preprints.
The EMS homepage:
Zentralblatt MATH Database.
MPRESS,
preprint database. Jahrbuch der Mathematik
The AMS homepage:
MathSciNet
The arXiv for Physics, Mathematics,
CS: Front
for the Math-arXiv.