16/06/2011, 15:00 — 16:00 — Room P3.10, Mathematics Building
Paulo Lima-Filho, Texas A&M
Explicit examples of regulator maps
We will present a simple construction of cocycles representing certain generators in motivic cohomology, using Voevodsky's motivic complexes. This will motivate a novel construction of the regulator map from motivic to Deligne cohomology of complex algebraic varieties. In particular, this will exemplify the importance of the identity $\pi^2/6 = \sum_{n\geq 1} 1/n^2$. This is joint work with Pedro F. dos Santos and James Lewis.
