Project information
Algebra and Geometry: the reunion and trends in current mathematics
- Project Identification
- GD201/05/H005
- Project Period
- 1/2005 - 12/2008
- Investor / Pogramme / Project type
-
Czech Science Foundation
- Doctor grants
- MU Faculty or unit
-
Faculty of Science
- prof. RNDr. Jan Slovák, DrSc.
- doc. PhDr. Jan Rataj, CSc.
- prof. RNDr. Jiří Rosický, DrSc.
- prof. RNDr. Vladimír Souček, DrSc.
- prof. RNDr. Jan Trlifaj, DSc.
- doc. Mgr. Vojtěch Žádník, Ph.D.
- Keywords
- geometric structures, connections, invariants, categories, modules, algebras, groups, representations
Geometric results are expressed, as a rule, in the algebraic language, while the geometric thinking always is of essential help when dealing with algebraic problems. Together, the algebraic and geometric approach is behind groundbreaking analyticalresult s. The main goal of the project is to enable the union of the two strongest groups in these disciplines in the Czech Republic, to expand the tradition of joint seminars and wider co-operation, to offer jointly research themes for doctoral thesisfor both Czech and foreign students, to organize the invited lecture series of foreign guests, and to allow in this way the current and future students of the Charles University and Masaryk university not only to achieve a deeper and more effectiveeducation but a lso to gain a better chance for carrier in academic or commercial institutions. The research will focus on category theory and representations in its algebraic part, while the applications of the algebraic representational methods in
Publications
Total number of publications: 9
2011
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Left determined model structures for locally presentable categories
Applied Categorical Structures, year: 2011, volume: 19, edition: 6, DOI
2009
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Symmetries of parabolic geometries
Differential Geometry and its Applications, year: 2009, volume: 27, edition: 5
2008
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Classification of principal connections naturally induced on $W^2PE$
Archivum Mathematicum, year: 2008, volume: 44, edition: 5
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Classification of principal connections on $W^rPE$
Geometric methods in physics, year: 2008
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Morphisms of almost product projective geometries
Differential geometry and its applications, year: 2008
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Symmetries of almost Grassmannian geometries
Differential geometry and its applications, year: 2008
-
Weakly irreducible subgroups of Sp(1,n+1)
Archivum Mathematicum, year: 2008, volume: 44/2008, edition: 5
2006
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Generalized planar curves and quaternionic geometry
Annals of Global Analysis and Geometry, year: 2006, volume: 2006, edition: 29
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Remarks on symmetries of parabolic geometries
Archivum Mathematicum, year: 2006, volume: 42, edition: Supplement