ENGLISH

Representation Theory and Complex Analysis: Lectures given at the C.I.M.E. Summer School held in Venice, Italy June 10–17, 2004

By Edward Frenkel , Masaki Kashiwara , Alain Valette , Andrea D'Agnolo , Michael Cowling , Enrico Casadio Tarabusi , David A. Vogan Jr , Nolan R. Wallach (auth.) , Massimo Picardello (eds.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2008
ISBN
3540768912, 9783540768913
DOI
10.1007/978-3-540-76892-0
LCC
QA403 .C48 2008
Open Library ID
OL18687011M
Language
english
Format
PDF
Filesize
4 MB (4153807 bytes)
Series
Lecture Notes in Mathematics 1931 Fondazione C.I.M.E., Firenze
Edition
1
Pages
389\399
Library
mexmat
Scanned
no
Time added
2009-07-20 03:45:11
Lie Groups;Abstract Harmonic Analysis;Non-associatTopological Groups

Description

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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