Abstract:
Despite recent progress in classifying the L-space surgeries of knots in 
3-manifolds, less is known about the region of L-space surgery slopes for 
links.  I will describe recent work that computes the region of L-space 
surgeries for any torus-link satellite of any L-space knot, with an answer that 
precisely extends Hedden's and Hom's analogous result for cables.  More 
generally, I will characterize the region of L-space surgeries for iterated 
positive-torus-link satellites, and for satellites by algebraic links, 
concluding with implications for conjectures of Boyer-Gordon-Watson and Juhasz.