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Model Theory SeminarExport this event to calendar

Monday, July 29, 2019 — 4:00 PM EDT

Martin Hils, Universitat Munster

“Equivariant definable deformation retractions in non-archimedean geometry” (joint work with Ehud Hrushovski and Pierre Simon)”

Using the model theory of ACVF, Hrushovski and Loeser established strong topological tameness properties for the Berkovich analytification V an of an algebraic variety V . The main work is done for a model-theoretic analogue V of the Berkovich space, whose underlying set is given by the strongly dominated types concentrating on the variety, the main result being the construction of a definable strong deformation retraction of V onto a piecewise linear subspace.

In the talk, I will outline the construction of V and then sketch how one may obtain an equivariant version of the main result for a semiabelian variety S, namely the existence of a definable strong S-equivariant deformation retraction of S onto a piecewise linear group.

MC 5417

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