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X-WR-CALDESC:évènements pour Département de mathématiques et applications
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BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20150123T160000
DTEND;TZID=Europe/Paris:20150123T160000
DTSTAMP:20261028T024015
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:20261028T024015
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:20261028T024015
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:20261028T024015
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:20261028T024015
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:20261028T024015
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:20261028T024015
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:20261028T024015
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:20261028T024015
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:20261028T024015
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:20261028T024015
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:20261028T024015
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:20261028T024015
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:20261028T024015
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:20261028T024015
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:20261028T024015
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:20261028T024015
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:20261028T024015
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
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20131004T160000
DTEND;TZID=Europe/Paris:20131004T160000
DTSTAMP:20261028T024015
CREATED:20131004T140000Z
LAST-MODIFIED:20211104T094057Z
UID:8132-1380902400-1380902400@www.math.ens.psl.eu
SUMMARY:Tame definable topological dynamics
DESCRIPTION:(Joint work with Pierre Simon) I will present some new results on definably amenable groups in NIP theories (typical examples of which are definably amenable groups in o-minimal theories\, algebraically closed valued fields and p-adics). In particular I will demonstrate that in this context various notions of genericity coincide (answering some questions of Newelski and Petrykowski) and a characterization of ergodic measures will be given. Arguments rely on the theory of forking for types and measures in NIP theories and the so-called (p\,q)-theorem from combinatorics.If time permits\, I will describe how these results generalize to homogeneous spaces\, ind-definable groups and action of the group of automorphisms\, and how these developments can be viewed as a study of the definable case of abstract tame dynamical systems introduced by Glasner.
URL:https://www.math.ens.psl.eu/evenement/tame-definable-topological-dynamics/
LOCATION:ENS salle W (escalier B 4è étage)
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20131004T110000
DTEND;TZID=Europe/Paris:20131004T110000
DTSTAMP:20261028T024015
CREATED:20131004T090000Z
LAST-MODIFIED:20211104T094058Z
UID:8134-1380884400-1380884400@www.math.ens.psl.eu
SUMMARY:Church-Turing computability of the étale cohomology mod l
DESCRIPTION:[Work in common with Fabrice Orgogozo]The dimension of the étale cohomology groups\, with coefficients in Z/lZ\, of a scheme of finite type over an algebraically closed field of characteristic different from l\, is computable in the sense of Church-Turing. To prove this\, we construct a hypercovering of X by schemes (analogous to Artin’s ?Roegood neighborhoods?R) having algorithmically testable geometric properties which allow to reduce the computation of the cohomology of X to that of their completed fundamental group.
URL:https://www.math.ens.psl.eu/evenement/church-turing-computability-of-the-etale-cohomology-mod-l/
LOCATION:ENS salle W (escalier B 4è étage)
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20131004T000000
DTEND;TZID=Europe/Paris:20131004T000000
DTSTAMP:20261028T024015
CREATED:20131003T220000Z
LAST-MODIFIED:20211104T094057Z
UID:8133-1380844800-1380844800@www.math.ens.psl.eu
SUMMARY:Strictly convergent rigid subanalytic sets
DESCRIPTION:Let K be a non-archimedean complete normed field\, K_alg the algebraic closure of K and let L be the language of normed fields augmented with symbols for the strictly convergent powerseries over K. Strictly convergent rigid subanalytic sets over K are the subsets of (K_alg)^n definable in L. I will survey what is known about these sets\, including recent joint results with Raf Cluckers.
URL:https://www.math.ens.psl.eu/evenement/strictly-convergent-rigid-subanalytic-sets/
LOCATION:ENS salle W (escalier B 4è étage)
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20130621T160000
DTEND;TZID=Europe/Paris:20130621T160000
DTSTAMP:20261028T024015
CREATED:20130621T140000Z
LAST-MODIFIED:20211104T093841Z
UID:8125-1371830400-1371830400@www.math.ens.psl.eu
SUMMARY:Newton-Puiseux Theorem for convergent generalised power series
DESCRIPTION:A generalised power series (in several variables) is a series with real nonnegative exponents whose support is contained in a cartesian product of well-ordered subsets of the real line. Let A be the collection of all convergent generalised power series. I will show that\, if f(x_1\,…\,x_n\,y) is in A\, then the solutions y=g(x_1\,…\,x_n) of the equation f=0 can be expressed as terms of the language which has a symbol for every function in A and a symbol for division. The construction of the terms is rather explicit. If instead of solving just one equation one wants to solve a system of equations\, then one needs a different argument and the proof I will exhibit is a lot less constructive.
URL:https://www.math.ens.psl.eu/evenement/newton-puiseux-theorem-for-convergent-generalised-power-series/
LOCATION:IHP Salle 314
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20130621T141500
DTEND;TZID=Europe/Paris:20130621T141500
DTSTAMP:20261028T024015
CREATED:20130621T121500Z
LAST-MODIFIED:20211104T093840Z
UID:8124-1371824100-1371824100@www.math.ens.psl.eu
SUMMARY:NIP\, amenability\, and dynamics
DESCRIPTION:I will discuss problems around definably amenable groups in NIP theories\, informed by some invariants coming from topological dynamics.
URL:https://www.math.ens.psl.eu/evenement/nip-amenability-and-dynamics/
LOCATION:IHP Salle 314
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20130621T110000
DTEND;TZID=Europe/Paris:20130621T110000
DTSTAMP:20261028T024015
CREATED:20130621T090000Z
LAST-MODIFIED:20211104T093840Z
UID:8123-1371812400-1371812400@www.math.ens.psl.eu
SUMMARY:Positivity of line bundles on varieties defined over non-Archimedean fields
DESCRIPTION:For algebraic varieties defined over the complex numbers\, one can study geometry using both algebraic and analytic methods. Over a non-Archimedean field\, one can try to do the same thing using Berkovich spaces. I will discuss positivity notions for metrics on line bundles on varieties defined over discretely or trivially valued fields.
URL:https://www.math.ens.psl.eu/evenement/positivity-of-line-bundles-on-varieties-defined-over-non-archimedean-fields/
LOCATION:IHP Salle 314
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20130419T160000
DTEND;TZID=Europe/Paris:20130419T160000
DTSTAMP:20261028T024015
CREATED:20130419T140000Z
LAST-MODIFIED:20211104T093820Z
UID:8116-1366387200-1366387200@www.math.ens.psl.eu
SUMMARY:Imaginaries in valued fields
DESCRIPTION:It is now well-known what sorts have to be added to a valued field in order to achieve elimination of imaginaries. It is also known that these sorts do not suffice to eliminate imaginaries when the field is enhanced by restricted analytic functions\, despite the fact that the theories still have quantifier elimination. In this talk\, I will attempt to convey the intuition about the definable sets in a valued field that underlies all of these results (while explaining the model-theoretic terminology in the above).
URL:https://www.math.ens.psl.eu/evenement/imaginaries-in-valued-fields/
LOCATION:IHP Salle 314
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20130419T141500
DTEND;TZID=Europe/Paris:20130419T141500
DTSTAMP:20261028T024015
CREATED:20130419T121500Z
LAST-MODIFIED:20211104T093241Z
UID:8115-1366380900-1366380900@www.math.ens.psl.eu
SUMMARY:Sheaves on subanalytic sites
DESCRIPTION:Sheaf theory is not well suited to study objects which are not defined by local properties. It is the case\, for example\, of functional spaces with growth conditions\, as tempered distributions. Since the study of the solutions of a system of PDE in these spaces is of great importance (solutions of irregular D-modules\, Laplace transform\, etc.)\, many ways have been explored by the specialists to overcome this problem. For this purpose Kashiwara and Schapira introduced the subanalytic site and proved that some of these spaces can be realized as sheaves on a subanalytic site. In this talk we will recall the theory of subanalytic sheaves and give an overview of some recent developments and applications.
URL:https://www.math.ens.psl.eu/evenement/sheaves-on-subanalytic-sites/
LOCATION:IHP Salle 314
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20130419T110000
DTEND;TZID=Europe/Paris:20130419T110000
DTSTAMP:20261028T024015
CREATED:20130419T090000Z
LAST-MODIFIED:20211104T093241Z
UID:8114-1366369200-1366369200@www.math.ens.psl.eu
SUMMARY:Ensembles sous-analytiques surconvergents dans les espaces de Berkovich
DESCRIPTION:Si X est un espace k-affinoïde (k étant un corps non-archimédien)\, un sous-ensemble S de X est dit sous-analytique surconvergent si on peut ?Roeessentiellement?R l’écrire S=f(Y) où f est un morphisme surconvergent d’espaces affinoïdes.Nous expliquerons d’abord comment décrire ces ensembles en n’utilisant que des fonctions de X\, i.e. sans avoir recours à une projection. Il s’agit d’une version géométrique d’un résultat de H. Schoutens qui utilise l’élimination des quantificateurs dans ACVF.Nous montrerons ensuite que les ensembles sous-analytiques surconvergents peuvent être définis localement pour la topologie de Berkovich\, mais pas pour la G-topologie.
URL:https://www.math.ens.psl.eu/evenement/ensembles-sous-analytiques-surconvergents-dans-les-espaces-de-berkovich/
LOCATION:IHP Salle 314
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20120406T160000
DTEND;TZID=Europe/Paris:20120406T173000
DTSTAMP:20261028T024015
CREATED:20120406T140000Z
LAST-MODIFIED:20211104T092155Z
UID:8082-1333728000-1333733400@www.math.ens.psl.eu
SUMMARY:Motivic Lipschitz continuity
DESCRIPTION:In a general set-up for non-archimedean geometry\, we show how local Lipschitz continuity implies piecewise Lipschitz continuity (globally on the whole piece) for definable functions. This is joint work with G. Comte and F. Loeser which generalizes previous work by the same three authors for a fixed p-adic field in [GAFA\, 2010] and which fits in a broader program at the interplay of arithmetic and non-archimedean geometry.
URL:https://www.math.ens.psl.eu/evenement/motivic-lipschitz-continuity/
LOCATION:Salle W
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20120406T160000
DTEND;TZID=Europe/Paris:20120406T160000
DTSTAMP:20261028T024015
CREATED:20120406T140000Z
LAST-MODIFIED:20211104T092141Z
UID:8080-1333728000-1333728000@www.math.ens.psl.eu
SUMMARY:Generalizations of stability and NTP2
DESCRIPTION:
URL:https://www.math.ens.psl.eu/evenement/generalizations-of-stability-and-ntp2/
LOCATION:Salle W
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20120406T140000
DTEND;TZID=Europe/Paris:20120406T153000
DTSTAMP:20261028T024015
CREATED:20120406T120000Z
LAST-MODIFIED:20211104T092155Z
UID:8081-1333720800-1333726200@www.math.ens.psl.eu
SUMMARY:Fibres de Milnor motiviques en géométrie semi-algébrique réelle
DESCRIPTION:J’expliquerai un travail en commun avec Goulwen Fichou\, qui consiste à mettre en place un anneau de Grothendieck K_0(BSA_R) des formules semi-algébriques grâce auquel on peut définir\, sur le modèle complexe\, des fonctions zêta motiviques de singularités réelles. On montre que ces fonctions zêtas sont rationnelles et que leur expression rationnelle définit des fibres de Milnor motiviques des singularités réelles. Il s’agit d’éléments de l’anneau K_0(BSA_R)otimes Z[1/2] dont on montre qu’ils se réalisent\, via le morphisme caractéristique d’Euler\, sur la caractéristique d’Euler des fibres de Milnor ensemblistes correspondantes.
URL:https://www.math.ens.psl.eu/evenement/fibres-de-milnor-motiviques-en-geometrie-semi-algebrique-reelle/
LOCATION:Salle W
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
END:VCALENDAR