Integral Geometry in Representation Theory
Oct 8, 2001
to
Oct 12, 2001
Organizer(s)Leticia Barchini, Oklahoma State University, Roger Zierau, Oklahoma State University.
To apply for funding, you must
register by Mon, Jul 23 2001.
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 FundingTo apply for funding, you must
register by Mon, Jul 23 2001.
Click to Register
Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are made typically 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.
Integral Geometry
Questions about this workshop should be sent either by email to
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