Please note: the whole of Institut Henri Poincaré (both buildings Borel et Perrin, the library and the museum) will be closed on Tuesday 15 and Wednesday 16 September due to a special event..
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From
Shedule -
RéGA
Ildar Gaisin "Constructibility and reflexivity in non-Archimedean geometry" 16h-17h
IHP
Salle 314
Ildar Gaisin (IHES)
Constructibility and reflexivity in non-Archimedean geometry
We introduce a notion of constructibility for étale sheaves with torsion coefficients over a suitable class of adic spaces. This notion is related to the classical notion of constructibility for schemes via the nearby cycles functor. We use the work of R. Huber to define an adic Verdier dual and investigate the extent to which we have a 6-functor formalism in this context. We attempt to classify those sheaves which are reflexive with respect to the adic Verdier dual. This is joint work with John Weilliaveetil.