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Friday, December 13, 2019

Friday, December 13, 2019 — 2:30 PM EST

Jeremy Usatine, Brown University

"Hyperplane Arrangements and Compactifying the Milnor Fiber"

Milnor fibers are invariants that arise in the study of hypersurface singularities. A major open conjecture predicts that for hyperplane arrangements, the Betti numbers of the Milnor fiber depend only on the combinatorics of the arrangement. I will discuss how tropical geometry can be used to study related invariants, the virtual Hodge numbers of a hyperplane arrangement's Milnor fiber. This talk is based on joint work with Max Kutler.

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