Projektnummer

0054014

Zusammenfassung

This proposal aims at supporting joint research projects between German and Georgian mathematicians in the areas of topology, geometry, and algebra. We plan to study fundamental questions in K-theory, homotopy theory, noncommutative geometry, and categorical and homological algebra, using, in particular, methods of enriched category theory. More concretely, it is planned to study the following topics: smooth K-theory for locally convex algebras, the connection between algebraic and topological K-theory and group cohomology , equivariant and Hopf-cyclic homology, cohomology of groups, s...