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BIRS Workshop Lecture Videos

Non-archimedean links of singularities Fantini, Lorenzo


I will introduce a non-archimedean version of the link of a singularity. This object will be a space of valuations, a close relative of non-archimedean analytic spaces (in the sense of Berkovich) over trivially valued fields. After describing the structure of these links, I will deduce information about the resolutions of surface singularities. If times allows, I will then characterize those normal surface singularities whose link satisfies a self-similarity property. The last part is a joint work with Charles Favre and Matteo Ruggiero.

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