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

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 g...

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Principais autores: Cowling, Michael., Frenkel, Edward., Kashiwara, Masaki., Valette, Alain., Vogan, David A., Wallach, Nolan R., SpringerLink (Online service)
Formato: Digital
Publicado em:
Assuntos:
Topologia algébrica.
Equações diferenciais parciais.
Álgebra.
Teoria quântica
Matemática.
Endereço do item:http://dx.doi.org/10.1007/978-3-540-76892-0
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spelling oai:localhost:123456789-2121042023-07-17T15:13:11Z Representation Theory and Complex Analysis Lectures given at the C.I.M.E. Summer School held in Venice, Italy June 10 17, 2004 / Cowling, Michael. Frenkel, Edward. Kashiwara, Masaki. Valette, Alain. Vogan, David A. Wallach, Nolan R. SpringerLink (Online service) Topologia algébrica. Equações diferenciais parciais. Álgebra. Teoria quântica Matemática. 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. 0 2022-10-11T17:32:39Z 2022-10-11T17:32:39Z 2008. Digital 515.14 R425 9783540768920 197803 http://dx.doi.org/10.1007/978-3-540-76892-0 http://dx.doi.org/10.1007/978-3-540-76892-0
institution Acervo SISBI
collection SIGAA
topic Topologia algébrica.
Equações diferenciais parciais.
Álgebra.
Teoria quântica
Matemática.
spellingShingle Topologia algébrica.
Equações diferenciais parciais.
Álgebra.
Teoria quântica
Matemática.
Cowling, Michael.
Frenkel, Edward.
Kashiwara, Masaki.
Valette, Alain.
Vogan, David A.
Wallach, Nolan R.
SpringerLink (Online service)
Representation Theory and Complex Analysis Lectures given at the C.I.M.E. Summer School held in Venice, Italy June 10 17, 2004 /
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.
format Digital
author Cowling, Michael.
Frenkel, Edward.
Kashiwara, Masaki.
Valette, Alain.
Vogan, David A.
Wallach, Nolan R.
SpringerLink (Online service)
author_facet Cowling, Michael.
Frenkel, Edward.
Kashiwara, Masaki.
Valette, Alain.
Vogan, David A.
Wallach, Nolan R.
SpringerLink (Online service)
author_sort Cowling, Michael.
title Representation Theory and Complex Analysis Lectures given at the C.I.M.E. Summer School held in Venice, Italy June 10 17, 2004 /
title_short Representation Theory and Complex Analysis Lectures given at the C.I.M.E. Summer School held in Venice, Italy June 10 17, 2004 /
title_full Representation Theory and Complex Analysis Lectures given at the C.I.M.E. Summer School held in Venice, Italy June 10 17, 2004 /
title_fullStr Representation Theory and Complex Analysis Lectures given at the C.I.M.E. Summer School held in Venice, Italy June 10 17, 2004 /
title_full_unstemmed Representation Theory and Complex Analysis Lectures given at the C.I.M.E. Summer School held in Venice, Italy June 10 17, 2004 /
title_sort representation theory and complex analysis lectures given at the c.i.m.e. summer school held in venice, italy june 10 17, 2004 /
publishDate 2022
url http://dx.doi.org/10.1007/978-3-540-76892-0
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