Michèle Vergne studied from 1962 to 1966 at the École Normal Supérieure de jeunes filles, which today is part of the ENS. She wrote her diploma thesis in 1966 with Claude Chevalley, entitled "Variété des algèbres de Lie nilpotentes" and her doctoral thesis in 1971 under the supervision of Jacques Dixmier ("Recherches sur les groupes et les algèbres de Lie") at the University of Paris. She is currently Directeur de Recherche at CNRS.
Vergne worked in the construction of unitary representations of Lie groups using coadjoint orbits of the Lie algebras. She proved a generalized Poisson summation formula (called the Poisson-Plancherel formula), which is the integral of a function on adjoint orbits with their Fourier transformation integrals on coadjoint "quantized" orbits.
Since 1997, she is a member of the Académie des sciences. She received the Prix Ampère in 1997. She is a member of The American Academy of Arts and Sciences. In 1992, she gave a plenary lecture at the first European Congress of Mathematics in Paris (Cohomologie equivariante et formules de carácteres). In 2006 she gave a plenary lecture at the International Congress of mathematics in Madrid (Applications of Equivariant Cohomology) and in 1983 she was an invited speaker at the ICM in Warsaw (Formule de Kirilov et indice de l'opérateur de Dirac). In 2008 she was Emmy-Noether - visiting professor at the University of Göttingen. She is a fellow of the American Mathematical Society.
Michèle Vergne was married to Victor Kac. They have a daughter, Marianne Kac-Vergne, professor of American civilization at the university of Picardie.
Selected publications
with G. Lion: The Weil representation, Maslov Index and Theta Series, Birkhäuser 1980
with Nicole Berline, Ezra Getzler: Heat kernels and Dirac operators, Springer, Grundlehren der mathematischen Wissenschaften, 1992, 2004
The original article was a (machine) translation of the corresponding German article.
External links
Interview with Vergne in the Gazette des Mathématiciens (p. 46)
Personal site
January 05, 2023
michèle, vergne, this, biography, living, person, needs, additional, citations, verification, please, help, adding, reliable, sources, contentious, material, about, living, persons, that, unsourced, poorly, sourced, must, removed, immediately, especially, pote. This biography of a living person needs additional citations for verification Please help by adding reliable sources Contentious material about living persons that is unsourced or poorly sourced must be removed immediately especially if potentially libelous or harmful Find sources Michele Vergne news newspapers books scholar JSTOR August 2022 Learn how and when to remove this template message Michele Vergne born August 29 1943 in L Isle Adam Val d Oise is a French mathematician specializing in analysis and representation theory Michele VergneMichele Vergne ICM Madrid 2006Born 1943 08 29 August 29 1943 age 79 L Isle Adam Val d OiseNationalityFrenchOccupationMathematicianKnown forAnalysis and Representation TheoryNotable workProved a generalized Poisson summation formula Contents 1 Life and work 2 Selected publications 3 References 4 External linksLife and work EditMichele Vergne studied from 1962 to 1966 at the Ecole Normal Superieure de jeunes filles which today is part of the ENS She wrote her diploma thesis in 1966 with Claude Chevalley entitled Variete des algebres de Lie nilpotentes and her doctoral thesis in 1971 under the supervision of Jacques Dixmier Recherches sur les groupes et les algebres de Lie at the University of Paris She is currently Directeur de Recherche at CNRS Vergne worked in the construction of unitary representations of Lie groups using coadjoint orbits of the Lie algebras She proved a generalized Poisson summation formula called the Poisson Plancherel formula which is the integral of a function on adjoint orbits with their Fourier transformation integrals on coadjoint quantized orbits Further she studied the index theory of elliptic differential operators and generalizations of this to equivariant cohomology With Nicole Berline it became a link between Atiyah Bott fixed point formulas and Kirillov character formula in 1985 1 The theory has applications to physics e g some works of Edward Witten In addition she also worked in the geometry of numbers more specifically the number of integer points in convex polyhedra With Masaki Kashiwara she formulated a conjecture about the combinatorial structure of the enveloping algebras of Lie algebras vague Since 1997 she is a member of the Academie des sciences She received the Prix Ampere in 1997 She is a member of The American Academy of Arts and Sciences In 1992 she gave a plenary lecture at the first European Congress of Mathematics in Paris Cohomologie equivariante et formules de caracteres In 2006 she gave a plenary lecture at the International Congress of mathematics in Madrid Applications of Equivariant Cohomology and in 1983 she was an invited speaker at the ICM in Warsaw Formule de Kirilov et indice de l operateur de Dirac In 2008 she was Emmy Noether visiting professor at the University of Gottingen She is a fellow of the American Mathematical Society Michele Vergne was married to Victor Kac They have a daughter Marianne Kac Vergne professor of American civilization at the university of Picardie Selected publications Editwith G Lion The Weil representation Maslov Index and Theta Series Birkhauser 1980 with Nicole Berline Ezra Getzler Heat kernels and Dirac operators Springer Grundlehren der mathematischen Wissenschaften 1992 2004 Quantification geometrique et reduction symplectique Seminar Bourbaki 2000 1 Representations unitaires des groupes de Lie resolubles Seminar Bourbaki 1973 4 with Michel Duflo Jacques Dixmier Sur la representation coadjointe d une algebre de Lie Compositio Mathematica 1974 Applications of Equivariant Cohomology ICM 2006References Edit American Journal Mathematics Bd 107 S 1159 The original article was a machine translation of the corresponding German article External links EditInterview with Vergne in the Gazette des Mathematiciens p 46 Vergne on the pages of the French Academy Personal site Retrieved from https en wikipedia org w index php title Michele Vergne amp oldid 1106641005, wikipedia, wiki, book, books, library,
