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## Analysis, Geometry and Group Representations for Homogeneous Spaces |

Groups and their homogeneous spaces are
basic objects in science and to unravel their structure and that of certain
classes of functions on them is of fundamental importance. A classical example in that respect form
Fourier series and integrals. Harmonic
analysis on locally compact groups is the search for a non-commutative
generalization of this theory and can be applied in other branches of
mathematics such as number theory, singularity theory, probability and integrable systems. At the conference special emphasis will
be put on symmetric spaces, special functions and q-deformations and their
representations. The various days of the conference will be centered around a common theme. These themes are: 1) Harmonic analysis on homogeneous spaces. 2) Representation theory in number theory. 3) Geometric properties of differential
equations. 4) Quantum groups. 5) Applications of Lie theory in other
disciplines. Besides the plenary lectures, we also
want to offer to young researchers an opportunity to give a short presentation
of their work. Apart from that there will discussion sessions in the afternoons
under the direction of a moderator.
Participants are free to make suggestions at forehand for these
sessions.
The goal of the conference is not only
to be a platform for the discussion of new results and directions, but we also
aim to fortify the structural international cooperation in this field. One of
the concrete aims is to set up a research program between the participating
groups from Japan and the Netherlands. This conference will be considered to be
a success if it will lead to new collaborations, joint papers, projects and
meetings. [Back] |