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Compactification of Spaces of Representations After Culler, Morgan and Shalen

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Berkovich Spaces and Applications

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2119))

Abstract

We give an account on Morgan and Shalen’s work on the compactification of complex affine varieties using valuation spaces and its applications to the geometry of the character variety of a finitely generated group.

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Acknowledgements

I would like to thank Charles Favre, Jan Kiwi, and Juan Rivera-Letelier for the invitation to give a course during the “Ultrametric Dynamics Days” in Santiago de Chile in January 2008. This paper owes a lot to Charles who encouraged me to develop my set of notes to an actual paper and made several important suggestions. The referee, through his constant criticism, also helped to bring the paper to its actual form.

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  1. Institut Mathématique de Toulouse, Université Paul Sabatier, 118 route de Narbonne, Toulouse, France

    Jean-Pierre Otal

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  1. Jean-Pierre Otal
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Correspondence to Jean-Pierre Otal .

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Editors and Affiliations

  1. Pierre and Marie Curie University, Paris, France

    Antoine Ducros

  2. Ecole Polytechnique, Palaiseau Cedex, France

    Charles Favre

  3. University of Leuven, Heverlee, Belgium

    Johannes Nicaise

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Otal, JP. (2015). Compactification of Spaces of Representations After Culler, Morgan and Shalen. In: Ducros, A., Favre, C., Nicaise, J. (eds) Berkovich Spaces and Applications. Lecture Notes in Mathematics, vol 2119. Springer, Cham. https://doi.org/10.1007/978-3-319-11029-5_7

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