Speaker: Adi Gottlieb, NYU Title: Optimal Dynamic Spanners Abstract: A spanner of a graph G is a graph H whose vertex set is the same as that of G but which has fewer edges. The stretch of H is the maximum of the ratio of the distance between two points a,b in G and their distance in H, over all points. We show how to dynamically maintain spanners with low stretch and constant degree in logarithmic time, for points residing in a space equipped with constant doubling dimension. This is joint work with Liam Roditty.