  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.

Number Theory;Algebraic Geometry