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Representation Theory and Complex Analysis: Lectures given at the C.I.M.E. Summer School held in Venice, Italy, June 10-17, 2004
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Dieser Artikel gilt, aufgrund seiner Grösse, beim Versand als 3 Artikel!
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| Six leading experts lecture on a wide spectrum of recent results on the subject of the title, providing both a solid reference and deep insights on current research activity.
Michael Cowling
presents a survey of various interactions between representation theory and harmonic analysis on semisimple groups and symmetric spaces.
Alain Valette
recalls the concept of amenability and shows how it is used in the proof of rigidity results for lattices of semisimple Lie groups.
Edward Frenkel
describes the geometric Langlands correspondence for complex algebraic curves, concentrating on the ramified case where a finite number of regular singular points is allowed.
Masaki Kashiwara
studies the relationship between the representation theory of real semisimple Lie groups and the geometry of the flag manifolds associated with the corresponding complex algebraic groups.
David Vogan
deals with the problem of getting unitary representations out of those arising from complex analysis, such as minimal globalizations realized on Dolbeault cohomology with compact support.
Nolan Wallach
illustrates how representation theory is related to quantum computing, focusing on the study of qubit entanglement.
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