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Home » MT Research Seminar: A topological tameness result for Berkovich spaces.

Seminar

MT Research Seminar: A topological tameness result for Berkovich spaces. February 18, 2014 (02:00 PM PST - 03:30 PM PST)
Parent Program:
Location: MSRI: Baker Board Room
Speaker(s) Florent Martin (Université de Lille I (Sciences et Techniques de Lille Flandres Artois))
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Abstract/Media

Let k be a complete discrete valuation field and f : X -> Y an analytic morphism between k-affinoid spaces (X and Y might be closed polydisc for instance). We prove that the complementary set of the image of f has finitely many connected components with respect to the Berkovich topology.

We will explain this result, which relies essentially on a quantifier elimination theorem for fields with analytic structures due to Leonard Lipshitz.

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