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TZID:Europe/Paris
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TZNAME:CEST
DTSTART:20190331T010000
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DTSTART:20191027T010000
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DTSTART;TZID=Europe/Paris:20191011T141500
DTEND;TZID=Europe/Paris:20191011T154500
DTSTAMP:20260408T211455
CREATED:20191011T121500Z
LAST-MODIFIED:20211025T103723Z
UID:8525-1570803300-1570808700@www.math.ens.psl.eu
SUMMARY:Quantifier elimination in algebraically closed valued fields in the analytic language: a geometric approach
DESCRIPTION:I will present a work on flattening by blow-ups in the context of Berkovich geometry (inspired by Raynaud and Gruson’s paper on the same topic in the scheme-theoretic setting)\, and explain how it gives rise to the description of the image of an arbitrary analytic map between two compact Berkovich spaces\, and why this description is (very likely) related to quantifier elimination in the Lipshitz-Cluckers variant of Lipshitz-Robinson’s analytic language. (I plan to spend most of the talk discussing the results rather than their proofs.)
URL:https://www.math.ens.psl.eu/evenement/quantifier-elimination-in-algebraically-closed-valued-fields-in-the-analytic-language-a-geometric-approach/
LOCATION:ENS Salle W
CATEGORIES:Séminaire Géométrie et théorie des modèles
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BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20191011T160000
DTEND;TZID=Europe/Paris:20191011T173000
DTSTAMP:20260408T211455
CREATED:20191011T140000Z
LAST-MODIFIED:20211025T103721Z
UID:8524-1570809600-1570815000@www.math.ens.psl.eu
SUMMARY:H-minimality
DESCRIPTION:My goal\, in this talk\, is to explain a new notion of minimality for (characteristic zero) Henselian fields\, which generalizes C-minimality\, P-minimality and V-minimality and puts no restriction on the residue field or valued group contrary to these previous notions. This new notion\, h-minimality\, can be defined\, analogously to other minimality notions\, by asking that 1-types\, over algebraically closed sets\, are entirely determined by their reduct to some sublanguage – in that case the pure language of valued fields. However\, contrary to what happens with other minimality notions\, particular care has to be taken with regards to the parameters. In fact\, we define a family of notions: l-h-min for l a natural number or omega. My second goal in this talk will be to explain the various geometric properties that follow form h-minimality\, among which the well-known Jacobian property\, but also higher degree and higher dimensional versions of that property.
URL:https://www.math.ens.psl.eu/evenement/h-minimality/
LOCATION:ENS Salle W
CATEGORIES:Séminaire Géométrie et théorie des modèles
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