The purpose of this article is to newly define the p-adic polylogarithm as
an equivariant class in the cohomology of a certain infinite disjoint union of
algebraic tori associated to a totally real field. We will then express the
special values of p-adic L-functions interpolating nonpositive values of
Hecke L-functions of the totally real field in terms of special values of
these p-adic polylogarithms.Comment: 32 page