Hyperplane arrangements and compactifying the Milnor fiber

Algebraic and Tropical Geometry
Event time: 
Thursday, October 25, 2018 - 3:00pm
LOM 202
Jeremy Usatine
Speaker affiliation: 
Yale University
Event description: 

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.

Research Area(s):