Mapping analysis to homology

• Applicant: Professor Dr. Alexander Engel
• Subject Area: Mathematics
• Term: from 2016 to 2017
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 314131583

The goal of the project is to map both the analytic surgery sequence for classifying spaces and the rough sequence for manifolds of bounded geometry onto a sequence in homology theories of the classifying space, resp., the group itself viewed as a metric space.Since the analytic surgery sequence is target of two other sequences (the topological one and the exact sequence of Stolz) one would get the possibility to extract numerical higher secondary invariants from all sequences.In order to enable one to extract these numerical invariants cohomology theories will be found that pair with the exact sequence in homology.

• DFG Programme: Research Fellowships
• International Connection: USA
• Host: Professor Dr. Guoliang Yu