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Integral Geometry in Representation Theory |
| October 08, 2001 to October 12, 2001 |
| Organized By: Leticia Barchini, Oklahoma State University, Roger Zierau, Oklahoma State University. |
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| Parent Programs: |
| Integral Geometry |
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| Participant List: |
| View a List of Registered Participants |
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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 |
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For more information:
Questions about this workshop should be sent either by email to
or by regular mail to:
Integral Geometry in Representation Theory
Mathematical Sciences Research Institute
17 Gauss Way, Berkeley, CA
94720-5070.
USA
The Institute is committed to the principles of Equal Opportunity and Affirmative Action.
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