Svante Pääbo gave a talk recently at the US National Institutes of Health that is now available on YouTube.
In his talk, Pääbo, the director of the Department of Genetics at the Max Planck Institute for Evolutionary Anthropology, discusses how studying and genetically analyzing Neanderthals not only enables a better understanding of the ancient hominins, but also of modern humans. For instance, he describes how his team and others deduced that modern European and East Asian populations have more Neanderthal genes than other modern humans, as well as their studies of FOXP2, which as been linked to language.
Pääbo also gave a public talk at the Smithsonian Institute, which may be viewed here.