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X-WR-CALNAME:Département de mathématiques et applications
X-ORIGINAL-URL:https://www.math.ens.psl.eu
X-WR-CALDESC:évènements pour Département de mathématiques et applications
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TZID:Europe/Paris
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TZOFFSETFROM:+0100
TZOFFSETTO:+0200
TZNAME:CEST
DTSTART:20140330T010000
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TZOFFSETFROM:+0200
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DTSTART:20141026T010000
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BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20141114T110000
DTEND;TZID=Europe/Paris:20141114T110000
DTSTAMP:20260403T222044
CREATED:20141114T100000Z
LAST-MODIFIED:20211104T095508Z
UID:8202-1415962800-1415962800@www.math.ens.psl.eu
SUMMARY:Model theory of right-angled buildings.
DESCRIPTION:To every right-angled Coxeter G group belongs a unique countable Tits building B(G) with infinite residues. Using a suitable language\, we study the first order theory of B(G). It has a nice axiomatization\, is omega-stable\, equational and has trivial forking. It is not n-ample\, when n is the number of generators of G. (Joint work with A. Baudisch and A. Martín Pizarro)
URL:https://www.math.ens.psl.eu/evenement/model-theory-of-right-angled-buildings/
LOCATION:ENS – salle W\, 45 rue d'Ulm\, Paris\, 75005\, France
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20141114T141500
DTEND;TZID=Europe/Paris:20141114T141500
DTSTAMP:20260403T222044
CREATED:20141114T131500Z
LAST-MODIFIED:20211104T095454Z
UID:8201-1415974500-1415974500@www.math.ens.psl.eu
SUMMARY:Degrees of strongly special subvarieties and the André-Oort conjecture.
DESCRIPTION:We give a new proof of the André-Oort conjecture under the generalised Riemann hypothesis. In fact\, we generalise the strategy pioneered by Edixhoven\, and implemented by Klingler and Yafaev\, to all special subvarieties. Thus\, we remove ergodic theory from the proof of Klingler\, Ullmo and Yafaev and replace it with tools from algebraic geometry. Our key ingredient is a lower bound for the degrees of strongly special subvarieties coming from Prasad’s volume formula for S-arithmetic quotients of semisimple groups.
URL:https://www.math.ens.psl.eu/evenement/degrees-of-strongly-special-subvarieties-and-the-andre-oort-conjecture/
LOCATION:ENS Salle W
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20141114T160000
DTEND;TZID=Europe/Paris:20141114T160000
DTSTAMP:20260403T222044
CREATED:20141114T150000Z
LAST-MODIFIED:20211104T095508Z
UID:8203-1415980800-1415980800@www.math.ens.psl.eu
SUMMARY:Some applications of model theory to geometric Ramsey theory.
DESCRIPTION:In a series of papers by Alon\, Conlon\, Fox\, Gromov\, Naor\, Pach\, Pinchasi\, Radoi\, Sharir\, Sudakov\, Lafforgue\, Suk and others it is demonstrated that families of graphs with the edge relation given by a semialgebraic relation of bounded complexity satisfy much stronger regularity properties than arbitrary graphs\, and can be decomposed into very homogeneous semialgebraic pieces modulo a small mistake (for example the incidence relation between points and lines on the real plane\, or higher dimensional analogues). We show that in fact the whole theory can be developed for families of graphs whose edge relation is uniformly definable in a structure satisfying a certain model theoretic property called distality\, with respect to arbitrary generically stable measures rather than just the counting ones. Moreover\, distality characterizes these strong regularity properties. This applies in particular to definable graphs in all o-minimal and weakly o-minimal theories\, and in p-adics.Joint work with Sergei Starchenko.
URL:https://www.math.ens.psl.eu/evenement/some-applications-of-model-theory-to-geometric-ramsey-theory/
LOCATION:ENS Salle W
CATEGORIES:Séminaire Géométrie et théorie des modèles
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