Abstract:
The Borel regulator plays an essential role in the study of
special values of Lfunctions of number fields. To study integrality
properties of these values one needs a good understanding of the padic
regulator and the BlochKato exponential map.
In this talk we define a $p$adic analogue of the Borel regulator for the
$K$theory of $p$adic fields. After a review of Borel's construction, we show
that one can replace the van Est isomorphism in Borel's regulator by the
Lazard isomorphism to obtain an interesting theory.
The main result relates this $p$adic regulator to the BlochKato exponential
and the Soul\'e regulator. On the way we give a new and easy description
of the Lazard isomorphism for certain formal groups.
