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Configuration Spaces: Geometry, Combinatorics and Topology

YOUNG SEMINAR: Hyperplane Arrangements and the Milnor Fiber

speaker: Kristopher Williams (University of Iowa)

abstract: The complement of a central complex arrangement is a fiber bundle over ℂ with fiber F, the Milnor fiber. The fiber can also be realized as the cyclic d-fold covering space of the decone of the arrangement. Several authors have studied the Milnor fiber in this context, finding various restrictions on the possible homology groups. Using local system homology and covering space theory, we will explore conditions on the decone of 3-arrangements that have strong implications on the first betti number of the Milnor fiber as well helping to eliminate the possibility of torsion in the first homology group.

timetable:
Fri 21 May, 18:00 - 19:00, Sala Conferenze Centro De Giorgi
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