Posted in
Speaker:
Alex Suciu
Affiliation:
Northeastern U/MPI
Date:
Mon, 07/05/2012 - 16:30 - 17:15
Location:
MPIM Lecture Hall
Parent event:
Geometric Topology Seminar The characteristic varieties of a space $X$ are the support
loci for cohomology with coefficients in rank one local systems.
These sets, which generalize the Alexander polynomial of a
knot complement, provide precise information on the homology
of abelian covers of the given space. Closely related are
the resonance varieties associated to the cohomology ring
of $X$. The interplay between these two types of cohomology
jump loci leads to a deeper understanding of the nature of
the fundamental group $\pi_1(X)$, and of its homological
and geometric finiteness properties.
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