The splice of two links is an operation defined by Eisenbund and Neumann that
generalizes several other operations on links, such as the connected sum, the
cabling or the disjoint union. There has been much interest to understand the
behavior of different link invariants under the splice operation (genus,
fiberability, Conway polynomial, Heegaard-Floer homology among others) and the
goal of this talk is to present a formula relating the colored signature of
the splice of two oriented links to the colored signatures of its two
constituent links.  As an immediate consequence, we have that the conventional
univariate Levine-Tristram signature of a splice depends, in general, on the
colored (or multivariate) signatures of the summands. If time permits we will
discuss the intricacies of the non generic case.  This is a joint work with
Alex Degtyarev and Vincent Florens.