The Geometry & Topology research group at the University of Waterloo is a young and very active group. We have frequent seminars, specialized graduate courses, visitors, and postdoctoral fellows. If you are interested in graduate studies or postdoctoral fellowship opportunities in geometry and topology at Waterloo, please contact one of the group's faculty members.
Some of the research interests of our group include
- low dimensional topology
- gauge theory
- symplectic and complex geometry
- arithmetic geometry
- special holonomy and calibrations
- applications of geometry to physics
- toric geometry
- Dec. 13, 2019
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.