Cel
The project is centered around simplicial algebra and topology, (co)homology theories, algebraic K-theory and cobordism, operator and normed algebras. It is intended to make progress on the Karoubi conjecture, to develop further the interrelation between algebraic K-theory, bivariant K-theory and equivariant homology of groups and extension of these methods to the case of quantum groups. One of the main tools will be investigation of locally convex algebras by homotopical and homological methods, construction and development of the non-abelian cohomology of crossed structures, construction and study the n-fold Cech cohomology of open covers and the n-fold Cech derived functors of group valued functors. The second aspect of the program is to produce new information on the multiplicative structure of the simplectic cobordism ring, to give presentations of Morava K-theory and Brown-Peterson cohomology of p-groups in terms of transferred Chern classes. The third aspect of the program is to produce new information on the spectral characterictics of weighted type composition operators on closed subspaces of uniform algebras and structue of their eigensubspaces, on new topological radicals of normed algebras and on algebras of functions.
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COPENHAGEN
Dania