Papers Submitted
Abstract:
We will introduce a regularization for
$p$-adic multiple zeta values and show that
the generalized double shuffle relations
hold. This settles a question raised by
Deligne, given as a project in Arizona winter
school 2002. Our approach is to use the
theory of Coleman functions on the moduli
space of genus zero curves with marked points
and its compactification. The main
ingredients are the analytic continuation of
Coleman functions to the normal bundle of
divisors at infinity and definition of a
special tangential base point on the moduli
space.