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arXiv:1309.0340 [math.AG]AbstractReferencesReviewsResources

About Hrushovski and Loeser's work on the homotopy type of Berkovich spaces

Antoine Ducros

Published 2013-09-02, updated 2015-07-20Version 2

Those are the notes of the two talks I gave in april 2013 in St-John (US Virgin Islands) during the Simons Symposium on non-Archimedean and tropical geometry. They essentially consist of a survey of Hrushovski and Loeser's work on the homotopy type of Berkovich spaces; the last section explains how the author has used their work for studying pre-image of skeleta.

Comments: 31 pages. This text will appear in the Proceedings Book of the Simons Symposium on non-Archimedean and tropical geometry (april 2013, US Virgin Islands). I've taken into account the remarks and suggestion of the referees
Categories: math.AG
Subjects: 14G22, 12J10
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