Skip to main content

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

Posted in
Noémie Combe
Université Pierre et Marie Curie, Paris/MPIM
Die, 2018-10-16 14:00 - 15:00
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 $\overline{M}_{0,n}$.
© MPI f. Mathematik, Bonn Impressum & Datenschutz
-A A +A