幾何学コロキウム Milnor fibrations of hyperplane arrangements

開催日時
2013年   11月 22日 16時 30分 ~ 2013年   11月 22日 17時 30分
場所
理学部3-204
講演者
Alexandru Suciu (Northearstern University)
 
Much of the fascination with arrangements of complex hyperplanes comes from the rich interplay between the combinatorics of the intersection lattice and the algebraic topology of the complement.  A key bridge between the two is provided by the resonance varieties of the cohomology ring and by the characteristic varieties of the fundamental group. Under certain multiplicity assumptions, this approach allows us to compute the characteristic polynomial of the algebraic monodromy of the Milnor fibration of the complement in terms of multinets supported by the underlying matroid.

This is joint work with Stefan Papadima.


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