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A new Cech cover of the configuration space of $n$ unordered points of affine line and its application to the study of $\overline{M}_{0,n}$.

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Speaker: 
Noémie Combe
Affiliation: 
Université Pierre et Marie Curie, Paris/MPIM
Date: 
Tue, 2018-10-16 14:00 - 15:00
Location: 
MPIM Lecture Hall
In this talk I shall present my results concerning a newdecomposition in
Coxeter-Weyl chambers of the(unordered) configuration space of  the complex plane, usingobjects reminiscent of Grothendieck’s dessins d’enfant. 
This decomposition allows a new interpretation of the braid groupand a new method allowing explicit cohomological computations of this space with coefficients in any sheaf.
As an application, we can use this decomposition for presenting
under a new light the moduli space $\overline{M}_{0,n}$.
 
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