Title: Renormalised integrals with linear constraints and renormalised
sums with conical constraints.

Abstract: We show how renormalisation methods similar to the ones used 
by physicists to make sense of Feynman integrals can be  implemented to 
make sense of multiple integrals of symbols with linear constraints and
multiple sums of symbols on infinite cones. Specialising to a specific
class of infinite cones, on   the basis of joint work with D. Manchon, 
we discuss multiple zeta functions which can be seen as  sums of 
homogeneous symbols on  "Chen" cones.