|Registration Deadline:||October 12, 2001 over 12 years ago|
|To apply for Funding you must register by:||July 08, 2001 over 12 years ago|
|Parent Program:||Integral Geometry|
- Patrick Delorme
- Alexander Dvorsky
- Michael Eastwood (Australian National University)
- Simon Gindikin (Rutgers University)
- Sigurdur Helgason
- Joachim Hilgert
- Jing-Song Huang
- Toshiyuki Kobayashi
- Bertram Kostant
- Yurii Neretin
- Takaaki Nomura
- Toshio Oshima
- Richard Penney
- Robert Stanton
- Peter Trapa (University of Utah)
- Erik van den Ban
- Bent Ørsted
This workshop will concentrate on several topics in representation theory and geometric analysis of homogeneous spaces for which techniques in integral geometry play a key role. These topics will include: 1) Spaces of solutions of differential equations on homogeneous spaces and integral transforms representing solutions; Hua equations, Schmid equations, Poisson and Szego transforms, and Radon and Penrose transforms. Also, inversion formulas and various characterizations of the images of these transforms. Included is the geometry of cycle spaces and the holomorphic extensions of a representations to complex domains. 2) Harmonic analysis on homogeneous spaces. A major focus here is the Plancherel theorem for semisimple symmetric spaces. Also included is harmonic analysis on special spaces such as causal spaces and Makarevi\v c spaces. 3) Explicit geometric and analytic realizations of irreducible unitary representations on Hilbert spaces. Many very different techniques are used in this direction: Intertwining operators, degenerate principal series and harmonic analysis, constructions of minimal represenations, restricitions of irreducible representations to subgroups, the geometry of coadjoint orbits and quantization. Group Photo of Participants
To apply for funding, you must register by the funding application deadline displayed above.
Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.
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