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Explore a lecture on phylodynamics and genealogy-valued Markov processes presented by Aaron King from the University of Michigan. Delve into the mathematical challenges of extracting information on pathogen transmission and evolution from genetic sequences. Examine the construction of likelihood functions that link dynamical system models to genetic data. Compare current approaches that view pathogen genealogy as a historical record with a novel perspective treating the generative model as a genealogy-valued Markov process. Discover how this new viewpoint allows for deriving likelihood without relying on questionable approximations and assumptions, potentially advancing the field of phylodynamics.