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Prof. Dr. Norbert Poncin
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| Fakultät oder Zentrum | Fakultät für Naturwissenschaften, Technologie und Medizin | ||||||
| Department | Fachbereich Mathematik | ||||||
| Postadresse |
Université du Luxembourg Maison du Nombre 6, Avenue de la Fonte L-4364 Esch-sur-Alzette |
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| Büroadresse | MNO, E06 0625-070 | ||||||
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| Telefon | (+352) 46 66 44 6376 | ||||||
Norbert Poncin's RESEARCH PAGE
Vacancies
There are currently no vacancies.
Research Interests
I am interested in Supergeometry, Algebraic Geometry, Homotopical Algebra, and Mathematical Physics.
Keywords: category theory; algebraic topology; algebraic aspects in geometry; differential, super, and (derived) algebraic geometry; higher structures; mathematical aspects of field theory.
Upcoming and past events
- Supergeometry, Supersymmetry and Quantization, University of Luxembourg, 16-19 December 2020
- Supergeometry and Applications, University of Luxembourg, 14 - 15 December 2017
- Higher Geometry and field theory, University of Luxembourg, 9 - 11 December 2015
- Higher Lie Theory, University of Luxembourg, 9 - 11 December, 2013
- Higher Algebras and Lie-infinity Homotopy Theory, University of Luxembourg, June 25 - 28, 2013
- Workshop on Graded Algebra and Geometry, University of Luxembourg, December 5-7, 2012
- Workshop on Covariant Field Theory, University of Luxembourg, December 6-8, 2011
- Workshop on Equivariant Quantization, University of Luxembourg, July 11-13, 2011
- Geometry of Manifolds and Mathematical Physics, Uniwersytet Jagiellonski, Krakow, June 27 - July 1, 2011
- 9th Conference on Geometry and Topology of Manifolds, Uniwersytet Jagiellonski, Krakow, June 30 – July 5, 2008
- Algebraic Aspects in Geometry, Stefan Banach International Mathematical Center, Poznan, October 17-23, 2007 (European Science Foundation Research Conference)
- 4th Conference on Poisson Geometry and related fields, University of Luxembourg, June 7-11, 2004 (National Research Fund Conference)
Seminars
Algebraic Topology, Geometry and Physics (organisers: Andrew Bruce, Norbert Poncin)
Information: norbert.poncin@uni.lu
Journal ''Travaux mathématiques''
To the homepage of Travaux Mathématiques
Current courses
Introduction to differential geometry, Riemannian geometry, homological algebra
Administrative duties
Course director of the Master in Mathematics and of the Master in Secondary Education - Mathematics (2009-2019)
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: Dienstag, den 18. Januar 2022
2022
A new approach to model categorical homotopy fiber sequences; ;
in Dissertationes Mathematicae (2022), doi: 10.4064/dm858-5-2022
The Tor Spectral Sequence and Flat Morphisms in Homotopical D-Geometry; ;
E-print/Working paper (2022)
Differential graded Lie groups and their differential graded Lie algebras; ; ;
in Transformation Groups (2022), 10.1007/s00031-021-09666-9
2021
Linear Z2n-Manifolds and Linear Actions; ;
in Symmetry, Integrability and Geometry: Methods and Applications (2021), 17(060), 58
Local Forms of Morphisms of Colored Supermanifolds; ;
in Journal of Geometry and Physics (2021), 168
Comparison theorems for Kan, faintly universal and strongly universal derived functors; ;
E-print/Working paper (2021)
2020
The Schwarz-Voronov embedding of Z_2^n - manifolds; ;
in Symmetry, Integrability and Geometry: Methods and Applications (2020), 16(002), 47
Functional analytic issues in Z_2 ^n Geometry;
in Revista de la Union Matematica Argentina (2020), 60(2), 611-636
2019
Products in the category of Z_2^n manifolds;
in Journal of Nonlinear Mathematical Physics (2019), 26(3), 420-453
Homotopical algebraic context over differential operators; ;
in Journal of Homotopy and Related Structures (2019), 14(1), 293-347
2018
Koszul-Tate resolutions as cofibrant replacements of algebras over differential operators; ;
in Journal of Homotopy and Related Structures (2018), 13(4), 793-846
2017
Homotopical Geometry over Differential Operators and Batalin-Vilkovisky ComplexPresentation (2017, December 18)
2016
Free Courant and Derived Leibniz Pseudoalgebras; ;
in Journal of Geometric Mechanics (2016), 8(1), 71-97
2015
Model structure on differential graded commutative algebras over the ring of differential operators; ;
E-print/Working paper (2015)
Model categorical Koszul-Tate resolution for algebras over differential operators; ;
E-print/Working paper (2015)
2014
On the infinity category of homotopy Leibniz algebras; ;
in Theory and Applications of Categories (2014), 29(12), 332-370
2013
2012
Higher trace and Berezinian of matrices over a Clifford algebra; ;
in Journal of Geometry and Physics (2012), 62(11), 22942319
2011
Geometric structures encoded in the Lie structure of an Atiyah algebroid; ;
in Transformation Groups (2011), 16(1), 137--160
Higher categorified algebras versus bounded homotopy algebras; ;
in Theory and Applications of Categories (2011), 25
2010
Strongly r-matrix induced tensors, Koszul cohomology and arbitrary-dimensional quadratic Poisson cohomology; ; ;
in Pacific Journal of Mathematics (2010), 245(1), 1--23
Coalgebraic approach to the Loday infinity category, stem differential for 2n-ary graded and homotopy algebras;
in Annales de l'Institut Fourier (2010), 60(1), 355--387
Equivariant quantization of orbifolds; ;
in Journal of Geometry and Physics (2010), 60(9), 1103--1111
2009
A first approximation for quantization of singular spaces; ;
in Journal of Geometry and Physics (2009), 59(4), 503--518
2008
Formal Poisson cohomology of twisted r-matrix induced structures;
in Israel Journal of Mathematics (2008), 165
Géométrie des courbes et des surfaces moyennant la théorie des repères mobiles d'Élie Cartan;
Learning material (2008)
Dequantized differential operators between tensor densities as modules over the Lie algebra of contact vector fields; ;
E-print/Working paper (2008)
Decomposition of symmetric tensor fields in the presence of a flat contact projective structure; ;
in Journal of Nonlinear Mathematical Physics (2008), 15(2), 252--269
Proceedings of the 8th Conference on Geometry and Topology of Manifolds; ;
Book published by Faculty of Science, Technology and Communication, University of Luxembourg (2008)
2007
On a general approach to the formal cohomology of quadratic Poisson structures;
in Journal of Pure and Applied Algebra (2007), 208(3), 887--904
2006
2005
Derivations of the Lie algebras of differential operators;
in Indagationes Mathematicae (2005), 16(2), 181--200
Proceedings of the 4th Conference on Poisson Geometry 2004 Travaux mathématiques, Vol. XVI; ;
Book published by University of Luxembourg (2005)
On the Chevalley-Eilenberg cohomology of some infinite-dimensional algebras of geometric originScientific Conference (2005)
2004
Automorphisms of quantum and classical Poisson algebras;
in Compositio Mathematica (2004), 140(2), 511-527
Lie algebraic characterization of manifolds;
in Central European Journal of Mathematics (2004), 2(5), 811--825
Equivariant operators between some modules of the Lie algebra of vector fieldsin Communications in Algebra (2004), 32(7), 2559--2572
2003
Proceedings of the Conference on Harmonic Analysis 2002; ; ;
Book published by Faculty of Science, Technology and Communication, University of Luxembourg (2003)
2002
Equivariant symbol calculus for differential operators acting on forms; ; ;
in Letters in Mathematical Physics (2002), 62(3), 219-232
2001
Premiers espaces de la cohomologie de l'algèbre de Lie graduée de Nijenhuis-Richardson de l'espace des fonctions d'une variétéin Bulletin of the Belgian Mathematical Society Simon Stevin (2001), 8(1), 141-146
On the cohomology of the Nijenhuis-Richardson graded Lie algebra of the space of functions of a manifoldin Journal of Algebra (2001), 243(1), 16-40
2000
1999
Cohomologie de l'algèbre de Lie des opérateurs différentiels sur une variété à coefficients dans les fonctionsin Comptes Rendus de l'Académie des Sciences. Série I. Mathématique (1999), 328(9), 789--794
1998
Cohomologie de Chevalley-Eilenberg de l'algèbre des opérateurs locaux sur l'espace des fonctions d'une variétéin Travaux Mathématiques (1998), X
Troisième espace de cohomologie de l'algèbre de Lie des opérateurs différentiels sur une variété à coefficients dans les fonctionsin Bulletin de la Société Royale des Sciences de Liège (1998), 67(6), 339--393
Premier et deuxième espaces de cohomologie de l'algèbre de Lie des opérateurs différentiels sur une variété à coefficients dans les fonctionsin Bulletin de la Société Royale des Sciences de Liège (1998), 67(6), 291--337
1996
1983
1981
Problèmes aux limites C-infini bien posés pour les systèmes hyperboliques à coefficients constantsBachelor/master dissertation (1981)
