Geometric/topological invariants such as Euler-Poincar\'e characateristic and characteristic classes are all "additive". Many well-studied characteristic homology classes of singular spaces are defined as natural transformations from certain covariant functors to the homology functor. In this talk I explain that any additive homology class can be extended as a natural transformation from a "motivic" Grothendieck group to the homology functor (a Grothendieck-Riemann-Roch-type formulation) and also explain some results and problems.
Donnerstag, den 20. Mai 2010 um 17:15 Uhr, in INF 288, HS 2 Donnerstag, den 20. Mai 2010 at 17:15, in INF 288, HS 2