  In this paper, we prove the \emph{unipotent Deligne-Milnor formula}. Our
method consists of categorifying Kato-Saito localized intersection product and
then applying To\"en-Vezzosi non-commutative Chern character. In fact, a small
modification of our strategy also yields Bloch conductor conjecture in several
new cases. Along the way, we confirm an expectation of To\"en-Vezzosi's on the
relation between their categorical intersection class and Bloch intersection
number.
