Norbert Poncin

Norbert Poncin

Professor

Research Topics Geometry in connection with Algebra and Theorical Physics
Faculty or Centre Faculté des Sciences, de la Technologie et de la Communication
Research Unit Mathématiques
Postal Address Campus Kirchberg, Université du Luxembourg
6, rue Richard Coudenhove-Kalergi
L-1359 Luxembourg
Campus Office G 217
Email
Telephone (+352) 46 66 44 6376
Fax (+352) 46 66 44 36376
Joined the University in 2003

Norbert Poncin's RESEARCH PAGE

Vacancies

For current vacancies click here.

Research Interests

I am interested in Contemporary Geometry, Algebraic Topology and Mathematical Physics.

Keywords: category theory, algebraic topology, operads; algebraic aspects in geometry; differential, super, and (derived) algebraic geometry; higher structures; equivariant quantization (i.p. of singular spaces), mathematical aspects of field theory.

Upcoming and past events

Seminars

General Mathematics Seminar (coordinators: Matteo Tommasini, Norbert Poncin)
Algebraic Topology, Geometry and Physics (organisers: Benoît Jubin, Norbert Poncin)

Information: norbert.poncin@uni.lu 

Journal ''Travaux mathématiques'

To the homepage of Travaux Mathématiques

Current courses

Physical mathematics 1,2,3, affine and projective geometry, introduction to differential geometry, differential geometry, homological algebra, superalgebra and supergeometry, operad theory, fiber bundles and connections

Administrative duties

Study director of the Master in Mathematics
President of the Luxembourg Mathematical Society (2006-2010)
Member of the faculty council (2003-2006)
Head of the Mathematics Research Unit (2002-2004)
Editor of ''Travaux mathématiques''

Other links

Luxembourg Mathematical Society

Last updated on: Friday, 27 June 2014

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2014

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See detailZ_2^n-Supergeometry I: Manifolds and Morphisms
Covolo, Tiffany; Grabowski, Janusz; Poncin, Norbert

E-print/Working paper (2014)

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See detailZ_2^n-Supergeometry II: Batchelor-Gawedzki Theorem
Covolo, Tiffany; Grabowski, Janusz; Poncin, Norbert

E-print/Working paper (2014)

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See detailThe free Courant algebroid
Jubin, Benoît Michel; Poncin, Norbert; Uchino, Kyousuke

E-print/Working paper (2014)

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See detailOn the infinity category of homotopy Leibniz algebras
Khudaverdyan, David; Poncin, Norbert; Qiu, Jian

in Theory and Applications of Categories (2014), 29(12), 332-370

See detailAlgebraic geometry over differential operators
Poncin, Norbert

Presentation (2014)

See detailDerived Geometry and Applications
Poncin, Norbert

Presentation (2014)

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2013

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See detailOn the category of Lie n-algebroids
Bonavolontà, Giuseppe; Poncin, Norbert

in Journal of Geometry & Physics (2013), 73

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See detailHigher Algebras and Lie Infinity Homotopy Theory
Dotsenko, Vladimir; Poncin, Norbert

Report (2013)

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See detailThe supergeometry of Loday algebroids
Grabowski, Janusz; Khudaverdyan, David; Poncin, Norbert

in Journal of Geometric Mechanics (2013), 5(2), 185--213

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See detailLie superalgebras of differential operators
Grabowski, Janusz; Kotov, Alexei; Poncin, Norbert

in Journal of Lie Theory (2013), 23(1), 35--54

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See detailHigher Lie Theory
Jubin, Benoît Michel; Poncin, Norbert

Report (2013)

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2012

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See detailGraded Algebra and Geometry
Covolo, Tiffany; Ovsienko, Valentin; Poncin, Norbert

Report (2012)

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See detailHigher trace and Berezinian of matrices over a Clifford algebra
Covolo, Tiffany; Ovsienko, Valentin; Poncin, Norbert

in Journal of Geometry and Physics (2012), 62(11), 22942319

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See detailLectures on Supergeometry
Covolo, Tiffany; Poncin, Norbert

E-print/Working paper (2012)

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See detailA tale of three homotopies
Dotsenko, Vladimir; Poncin, Norbert

E-print/Working paper (2012)

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See detailDifferential Geometry
Poncin, Norbert

Learning material (2012)

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See detailFiber bundles and connections
Poncin, Norbert

E-print/Working paper (2012)

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2011

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See detailGeometric structures encoded in the Lie structure of an Atiyah algebroid
Grabowski, Janusz; Kotov, Alexei; Poncin, Norbert

in Transformation Groups (2011), 16(1), 137--160

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See detailLectures on Algebraic Operads
Hilger, Patrick; Poncin, Norbert

E-print/Working paper (2011)

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See detailHigher categorified algebras versus bounded homotopy algebras
Khudaverdyan, David; Mandal, Ashis; Poncin, Norbert

in Theory and Applications of Categories (2011), 25

See detailHigher Loday Algebras
Poncin, Norbert

Scientific Conference (2011)

See detailLoday algebroids
Poncin, Norbert

Scientific Conference (2011)

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2010

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See detailStrongly r-matrix induced tensors, Koszul cohomology and arbitrary-dimensional quadratic Poisson cohomology
Ammar, Mourad; Kass, Guy; Masmoudi, Mohsen; Poncin, Norbert

in Pacific Journal of Mathematics (2010), 245(1), 1--23

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See detailCoalgebraic approach to the Loday infinity category, stem differential for 2n-ary graded and homotopy algebras
Ammar, Mourad; Poncin, Norbert

in Annales de l'Institut Fourier (2010), 60(1), 355--387

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See detailThe Lie superalgebra of a supermanifold
Grabowski, Janusz; Kotov, Alexei; Poncin, Norbert

in Journal of Lie Theory (2010), 20(4), 739--749

See detailEquivariant quantization of orbifolds
Poncin, Norbert

Scientific Conference (2010)

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See detailEquivariant quantization of orbifolds
Poncin, Norbert; Radoux, Fabian; Wolak, Robert

in Journal of Geometry & Physics (2010), 60(9), 1103--1111

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2009

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See detailThe structure of Poisson cohomology
Ammar, Mourad; Kass, Guy; Poncin, Norbert

in Universitatis Iagellonicae Acta Mathematica (2009)

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See detailThéorie des représentations du groupe symétrique
Hilger, Patrick; Poncin, Norbert

E-print/Working paper (2009)

See detailStrongly homotopy Leibniz algebras
Poncin, Norbert

Scientific Conference (2009)

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See detailA first approximation for quantization of singular spaces
Poncin, Norbert; Radoux, Fabian; Wolak, Robert

in Journal of Geometry & Physics (2009), 59(4), 503--518

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2008

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See detailFormal Poisson cohomology of twisted r-matrix induced structures
Ammar, Mourad; Poncin, Norbert

in Israel Journal of Mathematics (2008), 165

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See detailDecomposition of symmetric tensor fields in the presence of a flat contact projective structure
Frégier, Yaël; Mathonet, Pierre; Poncin, Norbert

in Journal of Nonlinear Mathematical Physics (2008), 15(2), 252--269

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See detailDequantized differential operators between tensor densities as modules over the Lie algebra of contact vector fields
Frégier, Yaël; Mathonet, Pierre; Poncin, Norbert

E-print/Working paper (2008)

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See detailProceedings of the 8th Conference on Geometry and Topology of Manifolds
Kubarski, Jan; Poncin, Norbert; Wolak, Robert

Book published by Faculty of Science, Technology and Communication, University of Luxembourg (2008)

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See detailMathématique physique 1 et 2
Poncin, Norbert

Learning material (2008)

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See detailMathématique physique 3
Poncin, Norbert

Learning material (2008)

See detailPoisson, Graded, and Strongly Homotopy Cohomologies
Poncin, Norbert

Scientific Conference (2008)

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2007

See detailPoisson cohomology and Deformation Quantization
Ammar, Mourad; Poncin, Norbert

Scientific Conference (2007)

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See detailOn quantum and classical Poisson algebras
Grabowski, Janusz; Poncin, Norbert

in Banach Center Publications (2007), 76

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See detailOn a general approach to the formal cohomology of quadratic Poisson structures
Masmoudi, Mohsen; Poncin, Norbert

in Journal of Pure and Applied Algebra (2007), 208(3), 887--904

See detailModules of differential operators and quantization
Poncin, Norbert

Scientific Conference (2007)

See detailNatural and projectively invariant quantizations
Poncin, Norbert

Presentation (2007)

See detailPoisson cohomology and its (graded) extensions
Poncin, Norbert

Scientific Conference (2007)

See detailA survey on natural quantization
Poncin, Norbert

Presentation (2007)

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2006

See detailFormal Poisson cohomology of r-matrix induced quadratic structures
Masmoudi, Mohsen; Poncin, Norbert

Poster (2006)

See detailNatural and equivariant quantizations
Poncin, Norbert

Scientific Conference (2006)

See detailRemarks on the LP-cohomology
Poncin, Norbert

Scientific Conference (2006)

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2005

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See detailDerivations of the Lie algebras of differential operators
Grabowski, Janusz; Poncin, Norbert

in Indagationes Mathematicae (2005), 16(2), 181--200

See detailProceedings of the 4th Conference on Poisson Geometry 2004 Travaux mathématiques, Vol. XVI
Molitor-Braun, Carine; Poncin, Norbert; Schlichenmaier, Martin

Book published by University of Luxembourg (2005)

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2004

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See detailAutomorphisms of quantum and classical Poisson algebras
Grabowski, Janusz; Poncin, Norbert

in Compositio Mathematica (2004), 140(2), 511-527

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See detailLie algebraic characterization of manifolds
Grabowski, Janusz; Poncin, Norbert

in Central European Journal of Mathematics (2004), 2(5), 811--825

See detailDerivations of the Lie algebras of differential operators
Poncin, Norbert

Scientific Conference (2004)

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See detailEquivariant operators between some modules of the Lie algebra of vector fields
Poncin, Norbert

in Communications in Algebra (2004), 32(7), 2559--2572

See detailOn equivariant quantization and related problems I
Poncin, Norbert

Presentation (2004)

See detailOn equivariant quantization and related problems II
Poncin, Norbert

Presentation (2004)

See detailSymbol calculus and applications I
Poncin, Norbert

Presentation (2004)

See detailSymbol calculus and applications II
Poncin, Norbert

Presentation (2004)

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2003

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See detailProceedings of the Conference on Harmonic Analysis 2002
Bekka, Bachir; Ludwig, Jean; Molitor-Braun, Carine; Poncin, Norbert

Book published by Faculty of Science, Technology and Communication, University of Luxembourg (2003)

See detailLie algebras of differential operators
Poncin, Norbert

Scientific Conference (2003)

See detailLie-algebraic characterization of manifold structures
Poncin, Norbert

Scientific Conference (2003)

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2002

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See detailEquivariant symbol calculus for differential operators acting on forms
Boniver, Fabien; Hansoul, Sarah; Mathonet, Pierre; Poncin, Norbert

in Letters in Mathematical Physics (2002), 62(3), 219-232

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See detailQuantification par déformation
Poncin, Norbert

Article for general public (2002)

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2001

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See detailPremiers espaces de la cohomologie de l'algèbre de Lie graduée de Nijenhuis-Richardson de l'espace des fonctions d'une variété
Poncin, Norbert

in Bulletin of the Belgian Mathematical Society Simon Stevin (2001), 8(1), 141-146

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2000

See detailCohomology of the Nijenhuis-Richardson graded Lie algebra
Poncin, Norbert

Scientific Conference (2000)

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See detailMécanique des solides déformables
Poncin, Norbert

Learning material (2000)

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1999

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See detailCohomologie de l'algèbre de Lie des opérateurs différentiels sur une variété à coefficients dans les fonctions
Poncin, Norbert

in Comptes Rendus de l'Académie des Sciences. Série I. Mathématique (1999), 328(9), 789--794

See detailDeformations and cohomologies
Poncin, Norbert

Scientific Conference (1999)

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1998

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See detailTroisième espace de cohomologie de l'algèbre de Lie des opérateurs différentiels sur une variété à coefficients dans les fonctions
Poncin, Norbert

in Bulletin de la Société Royale des Sciences de Liège (1998), 67(6), 339--393

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1996

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See detailCompléments d'Analyse
Poncin, Norbert

Learning material (1996)

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1983

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1981

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