Seminar of the session "Algebraic topology, geometric and combinatorial group theory"

seminar: An equivariant model for complexified arrangements (Seminar of the session "Algebraic topology, geometric and combinatorial group theory" (2015))

speaker: Michael Falk (Northern Arizona University, Flagstaff)

abstract: We recall the application of resonance varieties in distinguishing homotopy types of complements of complex line arrangements, and illustrate a new application whereby one reconstructs the underlying matroid from the fundamental group or cohomology ring of the complement. As an example we show the fundamental group of the complexified non-Pappus pseudo-line arrangement is not isomorphic to the fundamental group of any complex hyperplane arrangement complement. The method amounts to a combinatorial framing argument that begs generalization. This is joint work with Emanuele Delucchi.

timetable:
Mon 9 Feb, 15:00 - 16:00, Aula Dini
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