Abstract: The Farrell-Jones Conjecture predicts that one can identify the algebraic K- and L-groups of groups rings with equivariant homology group of certain classifying spaces. The K- and L-groups are of central relevance for problems in geometry and algebra, whereas the equivariant homology groups are more accessible to computations. The main point is that the Farrell-Jones Conjecture implies many well-know conjectures in geometry, group theory, algebraic topology and algebra and that it has recently been proved for a large class of groups for which these other conjecture were not known to be true before. The Farrell-Jones Conjecture and its proof for certain classes of groups are very technical.  Nevertheless, there are many non-technical and beautiful aspects of it, I will try to survey, concentrating  on easy special cases, comprehensable implications and  some basic ideas of proof.

Tee/Kaffee/Gebäck

ab  16:45 Uhr,

Arnimallee 3,  Raum 006

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Koordinator:  Prof. Dr. Alexander Schmitt

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