Strongly quasipositive knots are concordant to infinitely many strongly quasipositive knots

We show that every non-trivial strongly quasipositive knot is smoothly concordant to infinitely many pairwise non-isotopic strongly quasipositive knots. In contrast, Baader, Dehornoy and Liechti showed that every concordance class contains at most finitely many positive knots. Moreover, Baker conjectured that smoothly concordant strongly quasipositive fibered knots are isotopic.
Our proof uses a satellite operation with companion a slice knot with maximal Thurston-Bennequin number -1. In the talk, we will define the relevant terms for understanding this construction and sketch a proof of our result. If time permits, we will explain how the construction extends to links.