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Workshop

Integral Geometry in Representation Theory October 08, 2001 - October 12, 2001
Registration Deadline: October 12, 2001 over 12 years ago
To apply for Funding you must register by: July 08, 2001 almost 13 years ago
Parent Program: Integral Geometry
Organizers Leticia Barchini, Oklahoma State University, Roger Zierau, Oklahoma State University.
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Description

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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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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MSRI has preferred rates at the Rose Garden Inn, depending on room availability. Reservations may be made by calling 1-800-992-9005 OR directly on their website. Click on Corporate at the bottom of the screen and when prompted enter code MATH (this code is not case sensitive). By using this code a new calendar will appear and will show the MSRI rate on all room types available.

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MSRI has preferred rates of $149 - $189 plus tax at the Hotel Shattuck Plaza, depending on room availability. Guests can either call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Inst. discount; or go to www.hotelshattuckplaza.com and click Book Now. Once on the reservation page, click “Promo/Corporate Code“ and input the code: msri.

MSRI has preferred rates of $110 - $140 at the Berkeley Lab Guest House, depending on room availability. Reservations may be made by calling 510-495-8000 or directly on their website. Select “I am an individual traveler affiliated with MSRI”.

Additional lodging options may be found on our short term housing page.

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