Project Details
Projekt
GRK 1692: Curvature, Cycles and Cohomology
Subject Area
Mathematics
Term
from 2010 to 2019
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 169166737
The research of the RTG in the second period will be focussed on1. heights and growth conditions in arithmetic and geometric group theory2. global differential geometry, topology, and analysis of Dirac operators3. geometric ows evolving hypersurfaces and metrics and involving curvature4. singularities and compactifications in geometry and arithmetic and for PDEsThe common ground for a joint PhD education of students in these areas can be described by topics like 1. geometric language2. categorial understanding of structure3. homotopical methods4. advanced structures in analysis.It is our idea to promote progress by enabeling the students to transfer ideas from arithmetic and topology to analysis and back. The RTG extends the well established structure of the department consisting of three closely interacting research groups in arithmetic geometry, global analysis, and partial differential equations. The RTG can build on a great experience in guiding PhD students to the frontiers of research. It will complement the Johannes-Kepler-Forschungszentrum für Mathematik and the newly founded CRC "Higher Invariants" on the educational side. The RTG will organize a major piece of the structured PhD-education at the mathematical department in Regensburg on three levels: 1. Introductory courses and motivational lectures (Ringvorlesung, self-organized seminars),2. Horizon broadening (colloquium of the RTG, summer schools, workshops and conferences),3. Detailed learning (advanced interdisciplinary courses, oberseminars, self-organized learning).
DFG Programme
Research Training Groups
Applicant Institution
Universität Regensburg
Spokesperson
Professor Dr. Ulrich Bunke
