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
2013
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On semiflexible, flexible and pie algebras
Journal of Pure and Applied Algebra, year: 2013, volume: 217, edition: 2, DOI
2012
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On a new normalization for tractor covariant derivatives
Journal of the European Mathematical Society, year: 2012, volume: 14, edition: 6, DOI
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Symmetries of finite Heisenberg groups for k-partite systems
7th International Conference on Quantum Theory and Symmetries (QTS7), 7–13 August 2011, Prague, Czech Republic, year: 2012
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Symmetries of finite Heisenberg groups for multipartite systems
Journal of Physics A: Mathematical and Theoretical, year: 2012, volume: 45, edition: 28, DOI
2011
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A Characterisation of Manhart's Relative Normal Vector Fields
Advances in Geometry, year: 2011
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A remark on the Morita theorem for operads
Archivum Mathematicum, year: 2011, volume: 47, edition: 2
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Curvature functionals for curves in the equi-affine plane
Czechoslovak Mathematical Journal, year: 2011, volume: 61, edition: 2
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Optical structures, algebraically special spacetimes, and the Goldberg-Sachs theorem in five dimensions
Classical and Quantum Gravity, year: 2011, volume: 28, edition: 14, DOI
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Rewriting in Varieties of Idempotent Semigroups
Algebraic Informatics, year: 2011
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Some Modifications of the Theorem of Beltrami
Annali di Matematica Pura ed Applicata, year: 2011, volume: 190, edition: 2, DOI