Project information
Eduard Čech Center for Algebra and Geometry
- Project Identification
- LC505
- Project Period
- 1/2005 - 12/2011
- Investor / Pogramme / Project type
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Ministry of Education, Youth and Sports of the CR
- Basic Research Center
- MU Faculty or unit
- Faculty of Science
- Keywords
- -
- Cooperating Organization
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Institute of Mathematics of the ASCR, v. v. i.
Charles University
The Eduard Čech Center for Algebra and Geometry offers an institutional background for long-term post-doc positions, lecture series and research stays of world leading experts as well as direct cooperation of Czech and foreign institutions.
The cooperation will focus on synergy of algebraic and geometric approaches to the research in the areas of differential geometry, geometric analysis, category theory, algebraic topology, algebraic number theory, cryptology, and computational complexity, including impacts in mathematical informatics and mathematical physics.
In order to achieve the above aims, the Center will open international competition for the new positions. Further, the Workgroups will introduce shorter stays and lecture series of reknown experts designed for the young staff. The existing seminars organized jointly by Vienna, Prague and Brno will be extended and the young researchers will be sent to reasonable stays abroad. The goals include direct cooperation with European structures and networks. All activities of the Center will be governed and controlled by an international Steering Committee with majority of representatives of reknown foreign institutions.
Main subjects of study include: Parabolic geometries, Cartan connections, invariant operators, homotopy, Quillen category, cohomology, divisor class group, syntactic semiring, Lie algebra representations, module homomorphisms, multiplicative loops, autentification scheme, selfcorrecting code, proof complexity.
Publications
Total number of publications: 25
2010
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Parabolic symmetric spaces
Annals of Global Analysis and Geometry, year: 2010, volume: 37, edition: 2
2009
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Cones over pseudo-Riemannian manifolds and their holonomy
Journal für die reine und angewandte Mathematik, year: 2009, volume: 2009, edition: 635
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Holonomy of supermanifolds
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg., year: 2009, volume: 79/2009, edition: 1
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Irreducible complex skew-Berger algebras
Differential Geometry and its Applications, year: 2009, volume: 2009, edition: 27
2008
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Canonical connections in gauge-natural field theories
Int. J. Geom. Methods Mod. Phys., year: 2008, volume: 5, edition: 6
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Commuting Linear Operators and Decompositions; Applications to Einstein Manifolds
Acta Applicandae Mathematicae, year: 2008, volume: 109, edition: 2
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Conformal Operators on Forms and Detour Complexes on Einstein Manifolds
Communications in Mathematical Physics, year: 2008, volume: 284, edition: 2
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Higher Hopf formulae for homology via Galois Theory
Advances in Mathematics, year: 2008, volume: 217, edition: 5
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Lagrangian reductive structures on gauge-natural bundles
Reports on Mathematical Physics, year: 2008, volume: 62, edition: 2
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Remarks on Grassmannian symmetric spaces
Archivum Mathematicum, year: 2008, volume: 44, edition: 5