Volkswagen Foundation award for the proposal of the Georgian - German Algebra and Topology Partner Group

Georgian-German non-commutative partnership (topology, geometry, algebra)

Bewilligung: 08.04.2009 Laufzeit: 2 Jahre

   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, we plan 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.

Mathematisches Institut, Georg-August-Universität Göttingen
Prof. Dr. Thomas Schick
Bunsenstraße 3-5, 37073 Göttingen
Tel.: 0551 39 77 66
Fax: 0551 39 29785
Homepage: http://www.uni-math.gwdg.de/schick

Razmadze Mathematical Institute,
Prof. Dr. Hvedri Inassaridze
M. Alexidze Street 1
Tbilisi 0193
Homepage: http://www.rmi.acnet.ge/~hvedri

• Providing support for further increase of knowledge and experience in all major areas of mathematical sciences in Georgia.
• Active participation in current research and development of mathematical sciences in Georgia.
• Coordination of positive interaction between researchers in existing scientific institutions and universities through various original publications, their translation, publishing and distribution.
• Arrangement and organization of seminars, conferences, symposia, public discussions on various topics of mathematical sciences.
• Supporting education of gifted new generation scientists. Encouragement of early stage research in students.
• Financing further promotion of achievements of the research performed by members of the TCMS.
• Edition of textbooks, monographs, journals, bulletins, methodic materials in areas of fundamental and applied mathematics and in computational sciences as well, in education and technology.
• Aid in obtaining governmental and international research grants, participation in tenders and competitions, search and distribution of private donations and investment in science.
• Establishing contact with international scientific centers and institutions for organization of joint scientific research.
• Stimulating interest of private business for investment and promotion of scientific research.
• Attract scientists from abroad for the realization of TCMS aims.
• TCMS may participate in arbitrary business activity which does not oppose Georgian law and TCMS principles, to directly and/or indirectly serve realization of aims of the TCMS.
• Income from business activities of the TCMS can only be used to aid achievement of goals of the TCMS.