SMS scnews item created by Stephan Tillmann at Thu 31 Mar 2016 0908
Type: Seminar
Distribution: World
Expiry: 30 Jun 2016 Calendar1: 1 Apr 2016 1000-1100 CalLoc1: Carslaw 375
CalTitle1: A computational approach to Milnor fiber cohomology
Auth: tillmann@p710.pc (assumed)
Geometry & Topology
A computational approach to Milnor fiber cohomology
Alexandru Dimca (Sophia Antipolis)
Friday 1 April 2016 from 10:00–11:00 in Carslaw 375
Abstract:
In this talk we consider the Milnor fiber
associated to a reduced projective plane curve
. A computational approach for the determination
of the characteristic polynomial of the monodromy
action on the first cohomology group of , also
known as the Alexander polynomial of the curve ,
is presented. This leads to an effective algorithm
to detect all the monodromy eigenvalues and, in many
cases, explicit bases for the monodromy eigenspaces
in terms of polynomial differential forms.
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