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)

# 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 $$F$$ associated to a reduced projective plane curve $$C$$. A computational approach for the determination of the characteristic polynomial of the monodromy action on the first cohomology group of $$F$$, also known as the Alexander polynomial of the curve $$C$$, 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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