SMS scnews item created by John Enyang at Sun 17 Mar 2013 1933
Type: Seminar
Modified: Sun 17 Mar 2013 1938; Mon 18 Mar 2013 1623; Mon 18 Mar 2013 1630
Distribution: World
Expiry: 23 Mar 2013
Calendar1: 22 Mar 2013 1430-1520
CalLoc1: Carslaw 273
Auth: enyang@penyang.pc (assumed)

# Characteristic varieties and resonance varieties

### Dimca

###### Speaker:

Alex Dimca (Université de Nice - Sophia Antipolis)

###### Title:

Characteristic varieties and resonance varieties

###### Abstract:

The characteristic varieties encode the dimensions of the twisted cohomology groups of a space $$X$$. The resonance varieties encode the dimensions of the cohomology groups of Aomoto complexes $$A^*_a=(H^*(X), a \cup)$$ built with the cohomology algebra $$H^*(X)$$. In many cases (e.g. $$X$$ is a projective complex manifold or $$X$$ a hyperplane arrangement complement), the relation between the two types of varieties is rather simple. In this talk I discuss the general case when $$X$$ is a smooth quasi-projective manifold.

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We will take the speaker to lunch before the talk.

See the Algebra Seminar web page for information about other seminars in the series.

John Enyang John.Enyang@sydney.edu.au

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