D'Agnolo, A. (Andrea)
Overview
Works:  12 works in 56 publications in 2 languages and 1,150 library holdings 

Genres:  Conference papers and proceedings Periodicals 
Roles:  Editor, Author, Translator, Other, Thesis advisor 
Classifications:  QA3, 512.22 
Publication Timeline
.
Most widely held works by
A D'Agnolo
Dmodules, representation theory, and quantum groups : lectures given at the 2nd session of the Centro internazionale matematico
estivo (C.I.M.E.) held in Venezia, Italy, June 1220, 1992 by
L Boutet de Monvel(
Book
)
13 editions published in 1993 in English and held by 292 WorldCat member libraries worldwide
CONTENTS: L. Boutet de Monvel: Indice de systemes differentiels. C. De Concini, C. Procesi: Quantum groups. P. Schapira, J.P. Schneiders: Index theorems for Rconstructible sheaves and for Dmodules. N. Berline, M. Vergne: The equivariant Chern character and index of Ginvariant operators
13 editions published in 1993 in English and held by 292 WorldCat member libraries worldwide
CONTENTS: L. Boutet de Monvel: Indice de systemes differentiels. C. De Concini, C. Procesi: Quantum groups. P. Schapira, J.P. Schneiders: Index theorems for Rconstructible sheaves and for Dmodules. N. Berline, M. Vergne: The equivariant Chern character and index of Ginvariant operators
Representation theory and complex analysis : lectures given at the C.I.M.E. Summer School held in Venice, Italy, June 1017,
2004 by
Centro internazionale matematico estivo(
Book
)
26 editions published in 2008 in English and held by 209 WorldCat member libraries worldwide
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
26 editions published in 2008 in English and held by 209 WorldCat member libraries worldwide
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
Dmodules, Representation Theory, and Quantum Groups : Lectures given at the 2nd Session of the Centro Internazionale Matematico
Estivo (C.I.M.E.) held in Venezia, Italy, June 1220, 1992(
)
1 edition published in 1993 in English and held by 38 WorldCat member libraries worldwide
1 edition published in 1993 in English and held by 38 WorldCat member libraries worldwide
Algebraic study of systems of partial differential equations by
Masaki Kashiwara(
Book
)
3 editions published in 1995 in English and held by 28 WorldCat member libraries worldwide
3 editions published in 1995 in English and held by 28 WorldCat member libraries worldwide
Stacks of twisted modules and integral transforms by
A D'Agnolo(
Book
)
3 editions published in 2003 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 2003 in English and held by 4 WorldCat member libraries worldwide
Radon and Fourier transforms for Dmodules by
A D'Agnolo(
Book
)
2 editions published in 2002 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 2002 in English and held by 3 WorldCat member libraries worldwide
An inverse image theorem for sheaves with applications to the Cauchy problem by
A D'Agnolo(
Book
)
2 editions published in 1990 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1990 in English and held by 3 WorldCat member libraries worldwide
Sheaves on subanalytic sites by
Luca Prelli(
Book
)
1 edition published in 2006 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2006 in English and held by 2 WorldCat member libraries worldwide
Application de la theorie des faisceaux a l'etude du probleme de Cauchy by
A D'Agnolo(
Book
)
2 editions published in 1990 in French and held by 2 WorldCat member libraries worldwide
Cette thèse, qui est constituée de trois articles, étudie le problème de Cauchy par les méthodes de la théorie des faisceaux. Dans la première partie, on obtient une version faisceautique d'un théorème de Hamada, Leray et Takeuchi concernant le prolongement global des solutions holomorphes du problème de Cauchy noncaractéristique. Dans la deuxième partie (il s'agit d'un travail en collaboration avec Pierre Schapira), on donne un théorème d'image inverse pour les faisceaux, grâce auquel on retrouve le théorème de Hamada, Leray et Wagschal sur le problème de Cauchy à données ramifiées, résultat que l'on étend aussi aux systèmes généraux (signalons qu'on retrouve aussi le résultat de Kashiwara et Schapira sur le même problème). Finalement, en utilisant le langage des indobjets et des proobjets, on donne dans le dernier article un theorème de commutation pour le foncteur d'image inverse et le foncteur de microlocalisation. Cela nous permet d'énoncer un theorème qui contient à la fois les résultats du deuxième travail, avec des hypothèses plus faibles, et le résultat de Kashiwara et Schapira sur le problème de Cauchy hyperbolique
2 editions published in 1990 in French and held by 2 WorldCat member libraries worldwide
Cette thèse, qui est constituée de trois articles, étudie le problème de Cauchy par les méthodes de la théorie des faisceaux. Dans la première partie, on obtient une version faisceautique d'un théorème de Hamada, Leray et Takeuchi concernant le prolongement global des solutions holomorphes du problème de Cauchy noncaractéristique. Dans la deuxième partie (il s'agit d'un travail en collaboration avec Pierre Schapira), on donne un théorème d'image inverse pour les faisceaux, grâce auquel on retrouve le théorème de Hamada, Leray et Wagschal sur le problème de Cauchy à données ramifiées, résultat que l'on étend aussi aux systèmes généraux (signalons qu'on retrouve aussi le résultat de Kashiwara et Schapira sur le même problème). Finalement, en utilisant le langage des indobjets et des proobjets, on donne dans le dernier article un theorème de commutation pour le foncteur d'image inverse et le foncteur de microlocalisation. Cela nous permet d'énoncer un theorème qui contient à la fois les résultats du deuxième travail, avec des hypothèses plus faibles, et le résultat de Kashiwara et Schapira sur le problème de Cauchy hyperbolique
Complex tropical currents by
Farhad Babaee Ghasemabadi(
)
1 edition published in 2014 in English and held by 1 WorldCat member library worldwide
To a tropical pcycle VT in Rn, we naturally assoicate a closed (p, p)dimensional current of order zero on (C)n denoted bu T p n(VT). Such e "tropical current" T p n(VT) cannot be an integration current along any analytic set since its support has the form log 1(VT) (C)n, where log is the coordinatewise valuation with log(I.I). We provide sufficient (local) conditions on a tropical pcycle such that its associated tropical is "strongly extremal" in Dop, p((C)n). In particular, if these conditions hokd for the effective cycles, then the associated current are extremal in the cone of strongly positive closed currents of bidimension (p, p) on (C)n. Nexte we explain how to extend the currents and extremality results to CPn. Further, we demonstrate how to use the intersection theory of currents to derive an intersection theory for the inderlying tropical cycles. The explicit calculations will be established by using e formula for the real MongeAmpère measure of a tropical polynomial. Moreoer, since such tropical currents are obtained by an averaging of integration currents on toric sets, an equality between toric intersection multipmicities and the tropical multiplicities is readily settled. Finally, we explain certain relations between approximation problems of tropical cycles by amoebas of algebraic cycles and approximations of the associated currents by positive multiples of integration currents along analytic cycles. Il will be discussed haw these approximtion problems are related to a stronger formulation of the celebrated hodge conjecture
1 edition published in 2014 in English and held by 1 WorldCat member library worldwide
To a tropical pcycle VT in Rn, we naturally assoicate a closed (p, p)dimensional current of order zero on (C)n denoted bu T p n(VT). Such e "tropical current" T p n(VT) cannot be an integration current along any analytic set since its support has the form log 1(VT) (C)n, where log is the coordinatewise valuation with log(I.I). We provide sufficient (local) conditions on a tropical pcycle such that its associated tropical is "strongly extremal" in Dop, p((C)n). In particular, if these conditions hokd for the effective cycles, then the associated current are extremal in the cone of strongly positive closed currents of bidimension (p, p) on (C)n. Nexte we explain how to extend the currents and extremality results to CPn. Further, we demonstrate how to use the intersection theory of currents to derive an intersection theory for the inderlying tropical cycles. The explicit calculations will be established by using e formula for the real MongeAmpère measure of a tropical polynomial. Moreoer, since such tropical currents are obtained by an averaging of integration currents on toric sets, an equality between toric intersection multipmicities and the tropical multiplicities is readily settled. Finally, we explain certain relations between approximation problems of tropical cycles by amoebas of algebraic cycles and approximations of the associated currents by positive multiples of integration currents along analytic cycles. Il will be discussed haw these approximtion problems are related to a stronger formulation of the celebrated hodge conjecture
On two geometric realizations of an affine Heckle algebra by
Roman Bezrukavnikov(
Book
)
1 edition published in 2016 in English and held by 1 WorldCat member library worldwide
1 edition published in 2016 in English and held by 1 WorldCat member library worldwide
Fra Bartolommeo by
Leader Scott(
Book
)
1 edition published in 1881 in English and held by 1 WorldCat member library worldwide
1 edition published in 1881 in English and held by 1 WorldCat member library worldwide
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Audience Level
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Related Identities
 Tarabusi, Enrico Casadio Editor
 Cowling, M. (Michael) 1949 Author
 Picardello, Massimo A. 1949 Editor
 Centro internazionale matematico estivo
 Zampieri, G. (Giuseppe) Other Editor
 Boutet de Monvel, L. 1941 Other Author
 Kashiwara, Masaki Author
 Frenkel, Edward
 Vogan, David A.
 Valette, Alain
Associated Subjects
Albertinelli, Mariotto, Algebra Art Bartolomeo,fra, Cauchy problem Differential equations, Partial Dmodules Fourier transformations Global analysis (Mathematics) Harmonic analysis Holonomy groups Integral transforms Inverse problems (Differential equations) Italy ItalyFlorence Ktheory Mathematics Modules (Algebra) Painters Quantum computing Quantum groups Quantum theory Radon integrals Representations of groups Representations of quantum groups Sarto, Andrea del, Sheaf theory Topological groups