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TZID:Europe/Paris
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DTSTART:20130331T010000
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BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20151106T160000
DTEND;TZID=Europe/Paris:20151106T160000
DTSTAMP:20261028T014945
CREATED:20151106T150000Z
LAST-MODIFIED:20211104T095809Z
UID:8227-1446825600-1446825600@www.math.ens.psl.eu
SUMMARY:Counting points vs. counting extensions
DESCRIPTION:In this talk\, I will explain how to relate the two counting problems in the title by generalizing the McKay correspondence to number-theoretic base fields\, that is\, local fields and number fields. Over local fields\, generalizing the McKay correspondence by Batyrev and Denef-Loeser\, one can relate stringy invariants of quotient varieties to mass formulas of extensions of local fields. Over number fields\, using the local result and a heuristic argument\, one can (less tightly than in the local case) relate Manin’s conjecture on rational points of Fano varieties to Malle’s conjecture on extensions of number fields.
URL:https://www.math.ens.psl.eu/evenement/counting-points-vs-counting-extensions/
LOCATION:Sophie Germain salle 1021
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20151106T141500
DTEND;TZID=Europe/Paris:20151106T141500
DTSTAMP:20261028T014945
CREATED:20151106T131500Z
LAST-MODIFIED:20211104T095610Z
UID:8226-1446819300-1446819300@www.math.ens.psl.eu
SUMMARY:The p-adic analog of Artin-Schreier Theorem - revisited (II)
DESCRIPTION:A famous Theorem by Artin and Schreier characterizes the real closed fields as being those fields which have a finite non-trivial absolute Galois group. Instances of p-adic analogs of this Theorem are known (Neukirch\, Pop\, Koenigsmann\, Efrat)\, but there is much more to this story. Namely I will give a ‘minimalistic’ p-adic analog\, which as in the Artin-Schreier Theorem\, invoves only finite groups. This aspect of the story relates to the birational p-adic section conjecture\, etc.
URL:https://www.math.ens.psl.eu/evenement/the-p-adic-analog-of-artin-schreier-theorem-revisited-ii/
LOCATION:Sophie Germain salle 1021
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20151106T110000
DTEND;TZID=Europe/Paris:20151106T110000
DTSTAMP:20261028T014945
CREATED:20151106T100000Z
LAST-MODIFIED:20211104T095810Z
UID:8228-1446807600-1446807600@www.math.ens.psl.eu
SUMMARY:Nonarchimedean globally valued fields
DESCRIPTION:In a joint research project with Itay Ben Yaacov\, we study a class of fields enriched with a global structure tying together their various valuations by a product formula. This is an elementary class in the sense of continuous logic
URL:https://www.math.ens.psl.eu/evenement/nonarchimedean-globally-valued-fields/
LOCATION:Sophie Germain salle 1021
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20150612T160000
DTEND;TZID=Europe/Paris:20150612T160000
DTSTAMP:20261028T014945
CREATED:20150612T140000Z
LAST-MODIFIED:20211104T095608Z
UID:8222-1434124800-1434124800@www.math.ens.psl.eu
SUMMARY:Comptage en théorie des groupes et imaginaires p-adiques
DESCRIPTION:Travail en commun avec Ehud Hrushovski et Ben Martin.Sous certaines hypothèses sur un groupe G\, on peut montrer que le nombre de sous-groupes de G d’indice p^n (que l’on note a_n) est fini. Pour étudier la croissance des a_n\, on s’intéresse à la série ?_{p\,G}(s) = sum_n a_n t^n dont la rationalité a été démontrée par Grunewald\, Segal et Smith (1988). Leur preuve consiste à réécrire cette somme comme une intégrale p-adique à paramètres et à utiliser un résultat de Denef (1984) sur la rationalité des telles intégrales. On peut aussi démontrer que de tels résultats de rationalité sont uniformes en p.Le but de cet exposé sera d’expliquer une méthode générale pour démontrer de tels résultats de comptage (uniformes en p) qui permet de retrouver les résultats connus en en simplifiant la preuve et de prouver de nouveaux résultats (par exemple sur le comptage des représentations). Cette méthode générale utilise toujours le résultat de rationalité de Denef et un nouvel ingrédient modèle théorique: l’élimination (uniforme) des imaginaires p-adiques.
URL:https://www.math.ens.psl.eu/evenement/comptage-en-theorie-des-groupes-et-imaginaires-p-adiques/
LOCATION:Batiment Sophie Germain salle 2015 (angle avenue de France et rue Alice Domon 75013 Paris)
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20150612T140000
DTEND;TZID=Europe/Paris:20150612T140000
DTSTAMP:20261028T014945
CREATED:20150612T120000Z
LAST-MODIFIED:20211104T095554Z
UID:8221-1434117600-1434117600@www.math.ens.psl.eu
SUMMARY:Diagonales\, congruences `à la Lucas' et indépendance algébrique
DESCRIPTION:Les diagonales de fractions rationnelles forment une classe de fonctions analytiques se situant au confluent de plusieurs grands thèmes : la combinatoire énumérative\, la théorie des équations différentielles\, l’arithmétique\, la géométrie algébrique et l’informatique théorique. Lorsque leurs coefficients sont des nombres rationnels\, ces séries ont la propriété remarquable d’être algébriques modulo presque tout nombre premier p. La façon dont leur degré d’algébricité varie en fonction de p est source de nombreuses questions. En particulier\, des exemples de diagonales de fractions rationnelles ayant un `grand degré modulo p’ peuvent être mis en évidence à l’aide de séries vérifiant certaines congruences introduites par Lucas. J’expliquerai comment ces congruences conduisent à des résultats d’indépendance algébrique pour certaines classes de G-fonctions. Il s’agit de travaux communs avec J. Bell et E. Delaygue.
URL:https://www.math.ens.psl.eu/evenement/diagonales-congruences-a-la-lucas-et-independance-algebrique/
LOCATION:Batiment Sophie Germain salle 2015 (angle avenue de France et rue Alice Domon 75013 Paris)
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20150612T103000
DTEND;TZID=Europe/Paris:20150612T103000
DTSTAMP:20261028T014945
CREATED:20150612T083000Z
LAST-MODIFIED:20211104T095609Z
UID:8223-1434105000-1434105000@www.math.ens.psl.eu
SUMMARY:Décomposition de types dans les théories NIP
DESCRIPTION:La classe des théories NIP — définie par Shelah dans les années 70 — contient celles des théories stables et des théories o-minimales. On pense souvent à NIP comme étant une combinaison de stabilité et de o-minimalité. Dans cet exposé\, je présenterai des résultats qui tendent à rendre cette intuition explicite. Je montrerai comment on peut décomposer certains types en une partie stable et un quotient ayant des propriétés typiques des ordres linéaires. Le résultat général pour tous les types est encore conjecturel.
URL:https://www.math.ens.psl.eu/evenement/decomposition-de-types-dans-les-theories-nip/
LOCATION:Batiment Sophie Germain salle 2015 (angle avenue de France et rue Alice Domon 75013 Paris)
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20150522T160000
DTEND;TZID=Europe/Paris:20150522T160000
DTSTAMP:20261028T014945
CREATED:20150522T140000Z
LAST-MODIFIED:20211104T095554Z
UID:8220-1432310400-1432310400@www.math.ens.psl.eu
SUMMARY:Around the Canonical Base Property
DESCRIPTION:The canonical base property (CBP) is a property of finite rank theories\, which was introduced by Pillay and whose formulation was motivated by results of Campana in complex geometry. The main feature of such a property is that it provides a dichotomy for types of rank one\, and in consequence one can reproduce Hrushovski’s proof of Mordell-Lang for function fields in characteristic zero with considerable simplifications.In this talk\, I will motivate (via Mordell-Lang) the statement of the CBP and describe some results around the CBP\, in particular on definable groups.
URL:https://www.math.ens.psl.eu/evenement/around-the-canonical-base-property/
LOCATION:ENS Salle W
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20150522T141500
DTEND;TZID=Europe/Paris:20150522T141500
DTSTAMP:20261028T014945
CREATED:20150522T121500Z
LAST-MODIFIED:20211104T095554Z
UID:8219-1432304100-1432304100@www.math.ens.psl.eu
SUMMARY:On the existential theory of equicharacteristic henselian valued fields
DESCRIPTION:The first order theory of a henselian valued field of residue characteristic zero is well-understood through the celebrated Ax-Kochen-Ershov principle\, which states that it is completely determined by the theory of the residue field and the theory of the value group. For henselian valued fields of positive residue characteristic\, no such general principle is known. I will report on joint work with Will Anscombe in which we study (parts of) the theory of equicharacteristic henselian valued fields and prove an Ax-Kochen-Ershov principle for existential (and slightly more general) sentences. I will also discuss applications to the definability of henselian valuation rings and to the existential decidability (Hilbert’s tenth problem) of the local field F_q((t))\, which was proven by Denef and Schoutens assuming resolution of singularities.
URL:https://www.math.ens.psl.eu/evenement/on-the-existential-theory-of-equicharacteristic-henselian-valued-fields/
LOCATION:ENS Salle W
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20150522T110000
DTEND;TZID=Europe/Paris:20150522T110000
DTSTAMP:20261028T014945
CREATED:20150522T090000Z
LAST-MODIFIED:20211104T095553Z
UID:8218-1432292400-1432292400@www.math.ens.psl.eu
SUMMARY:Voisinages formels dans le schéma des arcs
DESCRIPTION:Je décrirai quelques investigations récentes autour du théorème deDrinfeld-Grinberg-Kahzdan sur le voisinage formel d’un arc nonsingulier. C’est un travail en commun avec Julien Sebag.
URL:https://www.math.ens.psl.eu/evenement/voisinages-formels-dans-le-schema-des-arcs/
LOCATION:ENS Salle W
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20150306T160000
DTEND;TZID=Europe/Paris:20150306T160000
DTSTAMP:20261028T014945
CREATED:20150306T150000Z
LAST-MODIFIED:20211104T095539Z
UID:8216-1425657600-1425657600@www.math.ens.psl.eu
SUMMARY:Lebesgue measure and integration theory on arbitrary real closed fields
DESCRIPTION:We establish for the category of semialgebraic sets and functions on arbitrary real closed fields a full Lebesgue measure and integration theory such that the main results from the classical setting hold. The construction involves methods from model theory\, o-minimal geometry\, valuation theory and the theory of ordered abelian groups. We set up the construction in such a way that it is uniquely determined by data that can be formulated completely in terms of the given real closed field. We apply our integration theory to questions on semialgebraic geometry and analysis in the non-standard setting and also to questions on parameterized integrals on the reals.
URL:https://www.math.ens.psl.eu/evenement/lebesgue-measure-and-integration-theory-on-arbitrary-real-closed-fields/
LOCATION:Salle W ENS
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20150306T141500
DTEND;TZID=Europe/Paris:20150306T141500
DTSTAMP:20261028T014945
CREATED:20150306T131500Z
LAST-MODIFIED:20211104T095539Z
UID:8215-1425651300-1425651300@www.math.ens.psl.eu
SUMMARY:Definable types in ACVF.
DESCRIPTION:Given a pair of models Kprec L of a first-order theory T\, the pair is said to be stable if the following property holds: all types over K which are realized in L are definable. Marker and Steinhorn characterized stable pairs of models of o-minimal theories as pairs K prec L where K is Dedekind complete in L. In this talk we provide a characterization of stable pairs of algebraically closed valued fields K prec L. To get a flavor of the topic\, different examples will be discussed and a brief introduction to some model-theoretic aspects of stable pairs will be given. This is a joint work with Françoise Delon.
URL:https://www.math.ens.psl.eu/evenement/definable-types-in-acvf/
LOCATION:ENS Salle W
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20150306T110000
DTEND;TZID=Europe/Paris:20150306T110000
DTSTAMP:20261028T014945
CREATED:20150306T100000Z
LAST-MODIFIED:20211104T095553Z
UID:8217-1425639600-1425639600@www.math.ens.psl.eu
SUMMARY:Complex continuations of functions definable in R_{an\,exp} with a diophantine application.
DESCRIPTION:
URL:https://www.math.ens.psl.eu/evenement/complex-continuations-of-functions-definable-in-r_anexp-with-a-diophantine-application/
LOCATION:Salle W ENS
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20150123T160000
DTEND;TZID=Europe/Paris:20150123T160000
DTSTAMP:20261028T014945
CREATED:20150123T150000Z
LAST-MODIFIED:20211104T095524Z
UID:8211-1422028800-1422028800@www.math.ens.psl.eu
SUMMARY:Geometric dualities and model theory
DESCRIPTION:Geometries can be given in a direct semantic way\, say as a complex or real manifold\, or more abstractly\, by their co-ordinate algebras and schemes. A duality of this kind becomes highly non-trivial in cases of schemes of arithmetic type and for non-commutative co-ordinate algebras. I will discuss these issues from model-theoretic perspective. A detailed analysis will be given to the canonical commutation relation(s) underlying quantum mechanics. Some applications will be presented.
URL:https://www.math.ens.psl.eu/evenement/geometric-dualities-and-model-theory/
LOCATION:ENS Salle W
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20150123T141500
DTEND;TZID=Europe/Paris:20150123T141500
DTSTAMP:20261028T014945
CREATED:20150123T131500Z
LAST-MODIFIED:20211104T095524Z
UID:8210-1422022500-1422022500@www.math.ens.psl.eu
SUMMARY:Anneaux noethériens valués et corps valués.
DESCRIPTION:J’illustrerai\, dans le cas des valuations d’Abhyankar\, des méthodes d’étude des valuations utilisant la noetherianité des anneaux et conduisant à une preuve de l’uniformisation locale des valuations d’Abhyankar.
URL:https://www.math.ens.psl.eu/evenement/anneaux-noetheriens-values-et-corps-values/
LOCATION:Salle W ENS
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20150123T110000
DTEND;TZID=Europe/Paris:20150123T110000
DTSTAMP:20261028T014945
CREATED:20150123T100000Z
LAST-MODIFIED:20211104T095523Z
UID:8209-1422010800-1422010800@www.math.ens.psl.eu
SUMMARY:Manin-Mumford dynamique pour les automorphismes du plan complexe.
DESCRIPTION:Soit f: A^2 –> A^2 un automorphisme polynomial du plan complexe. Le problème de Manin-Mumford dynamique consiste à décrire les courbes algébriques C contenant une infinité de points périodiques de f.Dans un travail en commun avec R. Dujardin nous avons montré que lorsque f était dissipative\, une telle courbe C n’existait jamais.
URL:https://www.math.ens.psl.eu/evenement/manin-mumford-dynamique-pour-les-automorphismes-du-plan-complexe/
LOCATION:Salle W ENS
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20141212T140000
DTEND;TZID=Europe/Paris:20141212T140000
DTSTAMP:20261028T014945
CREATED:20141212T130000Z
LAST-MODIFIED:20211104T095523Z
UID:8208-1418392800-1418392800@www.math.ens.psl.eu
SUMMARY:Obtaining bi-Lipschitz stratifications using valued fields
DESCRIPTION:(Work in progress\, together with Yimu Yin)One tool to describe singularities of (e.g. algebraic or analytic) subsets X of R^n or C^n are stratifications: a partition of X into finitely many ?Roestrata?R such that any two points x\, y in X within the same stratum have the ?Roesame type of neighbourhood?R. The most classical stratifications are Whitney stratifications\, which classify neighbourhoods up to homeomorphism. The strongest known stratifications are Mostowski’s bi-Lipschitz stratifications\, which classify neighbourhoods up to a bi-Lipschitz map. I will present a new way of obtaining such bi-Lipschitz stratifications\, by working in a suitable valued field (a non-standard model of R or C). Up to recently\, the existence of bi-Lipschitz stratifications was only known for sub-analytic sets. Our method works for definable sets in arbitrary polyinomially bounded o-minimal expansions of R\, i.e. in particular for quasi-analytic sets. (A similar result has also been announced by Valette.)
URL:https://www.math.ens.psl.eu/evenement/obtaining-bi-lipschitz-stratifications-using-valued-fields/
LOCATION:Salle W ENS
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20141212T110000
DTEND;TZID=Europe/Paris:20141212T110000
DTSTAMP:20261028T014945
CREATED:20141212T100000Z
LAST-MODIFIED:20211104T095523Z
UID:8207-1418382000-1418382000@www.math.ens.psl.eu
SUMMARY:Intersections singulières de sous-groupes et de sous-variétés.
DESCRIPTION:Motivés par des questions topologiques\, nous présentons plusieurs problèmes sur les intersections singulières de sous-groupes algébriques et de sous-variétés dans les tores multiplicatifs. Ces questions sont étroitement liées aux conjectures de Zilber-Pink. L’heuristique sous-jacente est que\, dans ces conjectures\, la singularité des intersections peut compenser une décrémentation de la codimension des sous-groupes considérés.Il s’agit d’un travail en commun avec J. Marché.
URL:https://www.math.ens.psl.eu/evenement/intersections-singulieres-de-sous-groupes-et-de-sous-varietes/
LOCATION:Salle W ENS
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20141212T091500
DTEND;TZID=Europe/Paris:20141212T091500
DTSTAMP:20261028T014945
CREATED:20141212T081500Z
LAST-MODIFIED:20211104T095509Z
UID:8206-1418375700-1418375700@www.math.ens.psl.eu
SUMMARY:Une caractérisation topologique de la propriété d'indépendance.
DESCRIPTION:Une théorie est NIP si et seulement si certains espaces de types sont des `compacts de Rosenthal’ : des objets étudiés en topologie et théorie descriptive des ensembles. Grâce à cette observation\, on peut appliquer des résultats de topologie générale pour obtenir de nouveaux (et d’anciens) théorèmes sur les théories NIP. Je parlerai en particulier de conséquences concernant les types invariants.
URL:https://www.math.ens.psl.eu/evenement/une-caracterisation-topologique-de-la-propriete-dindependance/
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:20261028T014945
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
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20141114T141500
DTEND;TZID=Europe/Paris:20141114T141500
DTSTAMP:20261028T014945
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:20141114T110000
DTEND;TZID=Europe/Paris:20141114T110000
DTSTAMP:20261028T014945
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:20140110T000000
DTEND;TZID=Europe/Paris:20140110T000000
DTSTAMP:20261028T014945
CREATED:20140109T230000Z
LAST-MODIFIED:20211104T094800Z
UID:8169-1389312000-1389312000@www.math.ens.psl.eu
SUMMARY:Stable types and nonforking extensions
DESCRIPTION:
URL:https://www.math.ens.psl.eu/evenement/stable-types-and-nonforking-extensions/
LOCATION:ENS Salle W
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20140110T000000
DTEND;TZID=Europe/Paris:20140110T000000
DTSTAMP:20261028T014945
CREATED:20140109T230000Z
LAST-MODIFIED:20211104T094800Z
UID:8170-1389312000-1389312000@www.math.ens.psl.eu
SUMMARY:La conjecture d'Ax-Lindemann hyperbolique
DESCRIPTION:
URL:https://www.math.ens.psl.eu/evenement/la-conjecture-dax-lindemann-hyperbolique/
LOCATION:ENS Salle W
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20140110T000000
DTEND;TZID=Europe/Paris:20140110T000000
DTSTAMP:20261028T014945
CREATED:20140109T230000Z
LAST-MODIFIED:20211104T141648Z
UID:8168-1389312000-1389312000@www.math.ens.psl.eu
SUMMARY:Les fonctions Zeta de Denef et  Loeser sont-elles motiviques
DESCRIPTION:
URL:https://www.math.ens.psl.eu/evenement/les-fonctions-zeta-de-denef-et-loeser-sont-elles-motiviques/
LOCATION:ENS Salle W
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20131213T160000
DTEND;TZID=Europe/Paris:20131213T160000
DTSTAMP:20261028T014945
CREATED:20131213T150000Z
LAST-MODIFIED:20211104T094719Z
UID:8165-1386950400-1386950400@www.math.ens.psl.eu
SUMMARY:Non-archimedean Yomdin-Gromov parametrizations and points of bounded height
DESCRIPTION:In the spirit of work by Pila-Wilkie (2006) and by Pila (2009)\, we will present bounds on the number of points of bounded height in the non-archimedean context. An important tool to make the determinant method work is provided by a non-archimedean version of the Yomdin – Gromov parameterizing lemma. We wil explain these results\, obtained in joint work with G. Comte and F. Loeser.
URL:https://www.math.ens.psl.eu/evenement/non-archimedean-yomdin-gromov-parametrizations-and-points-of-bounded-height/
LOCATION:ENS Salle W
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20131213T141500
DTEND;TZID=Europe/Paris:20131213T141500
DTSTAMP:20261028T014945
CREATED:20131213T131500Z
LAST-MODIFIED:20211104T094759Z
UID:8166-1386944100-1386944100@www.math.ens.psl.eu
SUMMARY:Galois equations on torsion points and the Tate-Voloch conjecture on p-adic fields
DESCRIPTION:The Tate-Voloch conjecture is a statement about p-adic distance from torsion points to subvarieties in a semi-abelian variety defined over C_p. The use of Galois equations on torsion points by Pink and Rossler to prove the Manin-Mumford conjecture can be adapted to prove that conjecture in the case where both the semi-abelian variety and its subvariety are defined over a finite extension of Q_p.In this talk\, we will present such a proof\, and try to give an insight on how this proof differs from the model-theoretic one given by Scanlon.
URL:https://www.math.ens.psl.eu/evenement/galois-equations-on-torsion-points-and-the-tate-voloch-conjecture-on-p-adic-fields/
LOCATION:ENS Salle W
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20131213T110000
DTEND;TZID=Europe/Paris:20131213T110000
DTSTAMP:20261028T014945
CREATED:20131213T100000Z
LAST-MODIFIED:20211104T094759Z
UID:8167-1386932400-1386932400@www.math.ens.psl.eu
SUMMARY:Pregeometries and definable groups
DESCRIPTION:We describe a recent program for analyzing definable sets and groups in certain model theoretic settings. Those settings include:(a) o-minimal structures (M\, P)\, where M is an ordered group and P is a real closed field defined on a bounded interval (joint work with Peterzil)\,(b) tame expansions (M\, P) of a real closed field M by a predicate P\, such as expansions with o-minimal open core (work in progress with Gunaydin and Hieronymi).The analysis of definable groups first goes through a local level\, where a pertinent notion of a pregeometry and generic elements is each time introduced.
URL:https://www.math.ens.psl.eu/evenement/pregeometries-and-definable-groups/
LOCATION:ENS Salle W
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20131115T160000
DTEND;TZID=Europe/Paris:20131115T160000
DTSTAMP:20261028T014945
CREATED:20131115T150000Z
LAST-MODIFIED:20211104T094302Z
UID:8150-1384531200-1384531200@www.math.ens.psl.eu
SUMMARY:Autour de l'algébrisation des fibrés en droites
DESCRIPTION:
URL:https://www.math.ens.psl.eu/evenement/autour-de-lalgebrisation-des-fibres-en-droites/
LOCATION:ENS Salle W
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20131115T141500
DTEND;TZID=Europe/Paris:20131115T141500
DTSTAMP:20261028T014945
CREATED:20131115T131500Z
LAST-MODIFIED:20211104T094301Z
UID:8149-1384524900-1384524900@www.math.ens.psl.eu
SUMMARY:Du théorème du noyau de Manin aux équations de Pell-Fermat.
DESCRIPTION:
URL:https://www.math.ens.psl.eu/evenement/du-theoreme-du-noyau-de-manin-aux-equations-de-pell-fermat/
LOCATION:ENS Salle W
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20131115T110000
DTEND;TZID=Europe/Paris:20131115T110000
DTSTAMP:20261028T014945
CREATED:20131115T100000Z
LAST-MODIFIED:20211104T094301Z
UID:8148-1384513200-1384513200@www.math.ens.psl.eu
SUMMARY:Valued differential fields
DESCRIPTION:We consider valued fields of equicharacteristic zero equipped with a continuous derivation. This class of structures is rather diverse\, including both monotone differential fields and asymptotic differential fields. (These terms will be defined.) Nevertheless\, some results can be established uniformly for the entire class: algebraic extensions\, construction of residue field extensions\, the Equalizer Theorem\, construction of immediate extensions\, differential-henselianity. Next I will revisit Scanlon’s thesis on the model theory of differential-henselian monotone differential fields with enough constants. Time permitting I will add some remarks on the case of asymptotic differential fields.The above is (a small part of) ongoing joint work with Matthias Aschenbrenner and Joris van der Hoeven focused on developing a model theory for differential fields of transseries.
URL:https://www.math.ens.psl.eu/evenement/valued-differential-fields/
LOCATION:ENS Salle W
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
END:VCALENDAR