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Explore the intricate world of Hurwitz moduli spaces in this one-hour lecture by Craig Westerland from the University of Michigan. Delve into the parameterization of branched covers of algebraic curves, with a specific focus on branched covers of the affine line. Gain insights into various approaches for understanding the cohomology of these moduli spaces, including their connections to braided Hopf algebras. Discover a new family of braided operads and their relevance to this field of study. This talk offers a deep dive into advanced mathematical concepts, ideal for those interested in algebraic geometry and related areas.