Number Theory Seminar
Tuesday 13 February 2007, MR13, 2:30pm
A p-adic analogue of the Borel regulator and the Bloch-Kato exponential map
In this talk we define a p-adic analogue of the Borel regulator for the K-theory of p-adic fields. The
van Est isomorphism in the construction of the classical Borel regulator is replaced by the Lazard
isomorphism. The main result relates this p-adic regulator to the Bloch-Kato exponential and the Soule regulator. On the way we give a new description of the Lazard isomorphism for certain formal groups.