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Weyl-Coxeter chambers and the decomposition of the n-th (unordered) configuration space of $\mathbb{C}$

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Noémie Combe
Université Pierre et Marie Curie, Paris/MPIM
Mon, 08/10/2018 - 16:30 - 18:00
MPIM Lecture Hall
Parent event: 
MPIM Topology Seminar

The objective of this talk is to introduce a new topological stratification of the n-th (unordered) configuration space of the complex plane,  using objects reminiscent of Grothendieck’s dessins d’enfant.   
This topological stratification, is used to construct a good cover in the sense of Cech, allowing explicit cohomological computations of this space with coefficients in any sheaf.  As an auxiliary result, we show that this stratification forms a decomposition invariant under a Coxeter group.

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