Projekt

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, spectra characterizing KK-theory , applications of derived functors and derived categories to cyclic homology and K-theory, structural properties of K-theory of bimonoidal categories, and formal group laws.

• Prof. Dr. Thomas Schick

  Universität Göttingen
  Mathematisches Institut
  Göttingen
  

• Prof. Dr. Hvedri Inassaridze

  I. Javakhishvili Tbilisi
  State University
  Tbilisi Center for Mathematical Sciences and
  A. Razmadze Mathematical Institute
  Tbilisi
  Georgien
  

• Prof. Dr. Ralf Meyer

  Universität Göttingen
  Mathematisches Institut
  Göttingen
  

• Prof. Dr. David John Green

  Universität Jena
  Mathematisches Institut
  Jena
  

• Prof. Dr. Jens Hornbostel

  Universität Bonn
  Mathematisches Institut
  Bonn
  

• Prof. Dr. Birgit Richter

  Universität Hamburg
  Department Mathematik
  Hamburg