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Friday, May 31, 2019 2:30 pm - 2:30 pm EDT (GMT -04:00)

Existence and Stability Results in Celestial Mechanics

Alessandro Portaluri, University of Turin

Is the solar system stable? This is maybe one of the oldest open questions in dynamical systems. It is still a lively and very active research field starting from Newton, Lagrange, Maxwell, Poincar\'e and Birkhoff (only to mention a few) who proved several astonishing results in this direction.

Friday, November 29, 2019 1:30 pm - 1:30 pm EST (GMT -05:00)

Ascent concordance

Will Rushworth, McMaster University

Friday, December 13, 2019 2:30 pm - 2:30 pm EST (GMT -05:00)

Hyperplane Arrangements and Compactifying the Milnor Fiber

Jeremy Usatine, Brown University

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.

MC 5403