Title: Equivariant KK-theory for groupoid actions and C*-extensions Abstract: Pierre Yves Le Gall introduced an equivariant KK-theory for C*-algebras acted upon by groupoids. It generalizes the RKK-theory of Gennadi Kasparov and was used for proving some cases of Novikov and Baum-Connes conjectures. We give a description of this theory using equivariant extensions of C*-algebras. The talk reports on some joint work with Radu Popescu.