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 \(F\) 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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