automorphy

automorphy
The property of being automorphic.

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  • Factor of automorphy — In mathematics, the notion of factor of automorphy arises for a group acting on a complex analytic manifold. Suppose a group G acts on a complex analytic manifold X. Then, G also acts on the space of holomorphic functions from X to the complex… …   Wikipedia

  • Automorphic form — In mathematics, the general notion of automorphic form is the extension to analytic functions, perhaps of several complex variables, of the theory of modular forms. It is in terms of a Lie group G, to generalise the groups SL2(R) or PSL2 (R) of… …   Wikipedia

  • Riemann form — In mathematics, a Riemann form in the theory of abelian varieties and modular forms, is the following data:* A lattice Λ in a complex vector space Cg. * An alternating bilinear form α from Λ to the integers satisfying the following two conditions …   Wikipedia

  • Richard Taylor (mathematician) — Infobox Scientist name = Richard Taylor box width = image width = caption = birth date = birth date and age|1962|05|19 birth place = death date = death place = residence = citizenship = nationality = ethnicity = field = work institutions = alma… …   Wikipedia

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  • Siegel modular form — In mathematics, Siegel modular forms are a major type of automorphic form. These stand in relation to the conventional elliptic modular forms as abelian varieties do in relation to elliptic curves; the complex manifolds constructed as in the… …   Wikipedia

  • Automorphic factor — In mathematics, an automorphic factor is a certain type of analytic function, defined on subgroups of SL(2,R), appearing in the theory of modular forms. The general case, for general groups, is reviewed in the article factor of automorphy .… …   Wikipedia

  • Richard Taylor (Mathematiker) — Richard Lawrence Taylor (* 19. Mai 1962) ist ein britischer Mathematiker, der auf dem Gebiet der Zahlentheorie arbeitet. Inhaltsverzeichnis 1 Ausbildung 2 Arbeiten 3 Auszeichnungen …   Deutsch Wikipedia

  • Robert Gunning — Robert Clifford Gunning (* 27. November 1931 in Longmont in Colorado) ist ein US amerikanischer Mathematiker, der sich mit komplexer Analysis beschäftigt. Robert Gunning 2008 Leben und Wirken Robert Gunning studierte an der University of …   Deutsch Wikipedia

  • Richard Taylor (mathématicien) — Pour les articles homonymes, voir Richard Taylor et Taylor. Richard Taylor Naissance 19 mai 1962 Nationalité britannique Champs mathématiques Institution …   Wikipédia en Français

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