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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
BEGIN:DAYLIGHT
TZOFFSETFROM:+0100
TZOFFSETTO:+0200
TZNAME:CEST
DTSTART:20120325T010000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:+0200
TZOFFSETTO:+0100
TZNAME:CET
DTSTART:20121028T010000
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BEGIN:DAYLIGHT
TZOFFSETFROM:+0100
TZOFFSETTO:+0200
TZNAME:CEST
DTSTART:20130331T010000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:+0200
TZOFFSETTO:+0100
TZNAME:CET
DTSTART:20131027T010000
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20131213T160000
DTEND;TZID=Europe/Paris:20131213T160000
DTSTAMP:20260427T175225
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:20260427T175225
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:20260427T175225
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:20131128T140000
DTEND;TZID=Europe/Paris:20131128T140000
DTSTAMP:20260427T175225
CREATED:20131128T130000Z
LAST-MODIFIED:20211104T094300Z
UID:8146-1385647200-1385647200@www.math.ens.psl.eu
SUMMARY:(à préciser)
DESCRIPTION:
URL:https://www.math.ens.psl.eu/evenement/a-preciser-2/
LOCATION:ENS salle W 4è étage escalier B
CATEGORIES:Séminaire de géométrie algébrique
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20131121T140000
DTEND;TZID=Europe/Paris:20131121T140000
DTSTAMP:20260427T175225
CREATED:20131121T130000Z
LAST-MODIFIED:20211104T094246Z
UID:8145-1385042400-1385042400@www.math.ens.psl.eu
SUMMARY:(à préciser)
DESCRIPTION:
URL:https://www.math.ens.psl.eu/evenement/a-preciser/
LOCATION:ENS salle W 4è étage escalier B
CATEGORIES:Séminaire de géométrie algébrique
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20131115T160000
DTEND;TZID=Europe/Paris:20131115T160000
DTSTAMP:20260427T175225
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:20260427T175225
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:20260427T175225
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:20131114T140000
DTEND;TZID=Europe/Paris:20131114T140000
DTSTAMP:20260427T175225
CREATED:20131114T130000Z
LAST-MODIFIED:20211104T094246Z
UID:8144-1384437600-1384437600@www.math.ens.psl.eu
SUMMARY:Caractérisation de produits de diviseurs thêta
DESCRIPTION:
URL:https://www.math.ens.psl.eu/evenement/caracterisation-de-produits-de-diviseurs-theta/
LOCATION:ENS salle W 4è étage escalier B
CATEGORIES:Séminaire de géométrie algébrique
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20131107T140000
DTEND;TZID=Europe/Paris:20131107T140000
DTSTAMP:20260427T175225
CREATED:20131107T130000Z
LAST-MODIFIED:20211104T094230Z
UID:8137-1383832800-1383832800@www.math.ens.psl.eu
SUMMARY:Algebraic cycles and cobordism
DESCRIPTION:
URL:https://www.math.ens.psl.eu/evenement/algebraic-cycles-and-cobordism/
LOCATION:ENS salle W (Ecalier B 4è étage)
CATEGORIES:Séminaire de géométrie algébrique
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20131017T140000
DTEND;TZID=Europe/Paris:20131017T140000
DTSTAMP:20260427T175225
CREATED:20131017T120000Z
LAST-MODIFIED:20211104T094245Z
UID:8143-1382018400-1382018400@www.math.ens.psl.eu
SUMMARY:Opérations sur l'espace de modules des membranes
DESCRIPTION:bl
URL:https://www.math.ens.psl.eu/evenement/operations-sur-lespace-de-modules-des-membranes/
LOCATION:ENS salle W 4è étage escalier B
CATEGORIES:Séminaire de géométrie algébrique
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20131004T160000
DTEND;TZID=Europe/Paris:20131004T160000
DTSTAMP:20260427T175225
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:20260427T175225
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:20260427T175225
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:20131003T140000
DTEND;TZID=Europe/Paris:20131003T140000
DTSTAMP:20260427T175225
CREATED:20131003T120000Z
LAST-MODIFIED:20211104T094059Z
UID:8135-1380808800-1380808800@www.math.ens.psl.eu
SUMMARY:Representations of quasi-projective fundamental groups and the structure of transversely projective foliations
DESCRIPTION:Corlette and Simpson classified Zariski dense rank-two representations of fundamental groups of quasi-projective manifolds under the aditional assumption that the monodromy is quasi-unipotent at infinity. I will explain how to avoid such extra assumption\, and how to obtain a similar classification for singular transversely projective foliations on projective manifolds.
URL:https://www.math.ens.psl.eu/evenement/representations-of-quasi-projective-fundamental-groups-and-the-structure-of-transversely-projective-foliations/
LOCATION:ENS salle W (escalier B 4è étage
CATEGORIES:Séminaire de géométrie algébrique
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20130926T140000
DTEND;TZID=Europe/Paris:20130926T140000
DTSTAMP:20260427T175225
CREATED:20130926T120000Z
LAST-MODIFIED:20211104T094230Z
UID:8136-1380204000-1380204000@www.math.ens.psl.eu
SUMMARY:Théorie Géométrique des Invariants et le théorème de Thue-Siegel-Roth
DESCRIPTION:
URL:https://www.math.ens.psl.eu/evenement/theorie-geometrique-des-invariants-et-le-theoreme-de-thue-siegel-roth/
LOCATION:ENS salle W (escalier B 4è étage)
CATEGORIES:Séminaire de géométrie algébrique
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20130621T160000
DTEND;TZID=Europe/Paris:20130621T160000
DTSTAMP:20260427T175225
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:20260427T175225
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:20260427T175225
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:20260427T175225
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:20260427T175225
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:20260427T175225
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:20120608T173000
DTEND;TZID=Europe/Paris:20120608T183000
DTSTAMP:20260427T175225
CREATED:20120608T153000Z
LAST-MODIFIED:20211104T092236Z
UID:8088-1339176600-1339180200@www.math.ens.psl.eu
SUMMARY:Principe de Hasse pour les G-formes traces\, d'après Bayer-Parimala.
DESCRIPTION:
URL:https://www.math.ens.psl.eu/evenement/principe-de-hasse-pour-les-g-formes-traces-dapres-bayer-parimala/
LOCATION:amphi Galois NIR
CATEGORIES:Variétés rationnelles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20120608T160000
DTEND;TZID=Europe/Paris:20120608T170000
DTSTAMP:20260427T175225
CREATED:20120608T140000Z
LAST-MODIFIED:20211104T092235Z
UID:8087-1339171200-1339174800@www.math.ens.psl.eu
SUMMARY:Isométries d'espaces quadratiques sur les corps de nombres
DESCRIPTION:
URL:https://www.math.ens.psl.eu/evenement/isometries-despaces-quadratiques-sur-les-corps-de-nombres/
LOCATION:amphi Galois NIR
CATEGORIES:Variétés rationnelles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20120608T143000
DTEND;TZID=Europe/Paris:20120608T153000
DTSTAMP:20260427T175225
CREATED:20120608T123000Z
LAST-MODIFIED:20211104T092235Z
UID:8086-1339165800-1339169400@www.math.ens.psl.eu
SUMMARY:Les K-groupes de F(t) et les suites de ramification
DESCRIPTION:voir sur les archives du séminaire.
URL:https://www.math.ens.psl.eu/evenement/les-k-groupes-de-ft-et-les-suites-de-ramification/
LOCATION:amphi Galois NIR
CATEGORIES:Variétés rationnelles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20120518T173000
DTEND;TZID=Europe/Paris:20120518T183000
DTSTAMP:20260427T175225
CREATED:20120518T153000Z
LAST-MODIFIED:20211104T092156Z
UID:8084-1337362200-1337365800@www.math.ens.psl.eu
SUMMARY:Complexes de groupes de type multiplicatif et groupe de Brauer non ramifié des espaces homogènes II
DESCRIPTION:
URL:https://www.math.ens.psl.eu/evenement/complexes-de-groupes-de-type-multiplicatif-et-groupe-de-brauer-non-ramifie-des-espaces-homogenes-ii/
LOCATION:Salle W
CATEGORIES:Variétés rationnelles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20120518T160000
DTEND;TZID=Europe/Paris:20120518T170000
DTSTAMP:20260427T175225
CREATED:20120518T140000Z
LAST-MODIFIED:20211104T092156Z
UID:8083-1337356800-1337360400@www.math.ens.psl.eu
SUMMARY:Complexes de groupes de type multiplicatif et groupe de Brauer non ramifié des espaces homogènes
DESCRIPTION:
URL:https://www.math.ens.psl.eu/evenement/complexes-de-groupes-de-type-multiplicatif-et-groupe-de-brauer-non-ramifie-des-espaces-homogenes/
LOCATION:Salle W
CATEGORIES:Variétés rationnelles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20120518T143000
DTEND;TZID=Europe/Paris:20120518T153000
DTSTAMP:20260427T175225
CREATED:20120518T123000Z
LAST-MODIFIED:20211104T092156Z
UID:8085-1337351400-1337355000@www.math.ens.psl.eu
SUMMARY:The arithmetic of hyperelliptic curves
DESCRIPTION:Manjul Bhargava has recently made significant progress on the arithmetic ofelliptic curves over Q. Together with his student Arul Shankar\, he has calculated the averageorder of the n-Selmer group\, for n = 2\,3\,4\,5\, and has obtained an upper bound on theaverage rank (which is less than one). To do this\, they identify elements of the Selmer groupwith certain orbits in a representation of a semi-simple group over Q\, and estimatethe number of orbits of bounded height using the geometry of numbers. In this talk\, which is a report on joint work with Bhargava\, I will explain how thesetechniques can be extended to study the arithmetic of hyperelliptic curves of a fixedgenus over Q\, with a marked rational Weierstrass point.
URL:https://www.math.ens.psl.eu/evenement/the-arithmetic-of-hyperelliptic-curves/
LOCATION:Salle W
CATEGORIES:Variétés rationnelles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20120413T173000
DTEND;TZID=Europe/Paris:20120413T183000
DTSTAMP:20260427T175225
CREATED:20120413T153000Z
LAST-MODIFIED:20211104T092141Z
UID:8078-1334338200-1334341800@www.math.ens.psl.eu
SUMMARY:Groupe fondamental et groupe de Brauer des groupes algébriques et leurs espaces homogènes
DESCRIPTION:
URL:https://www.math.ens.psl.eu/evenement/groupe-fondamental-et-groupe-de-brauer-des-groupes-algebriques-et-leurs-espaces-homogenes/
LOCATION:Salle W
CATEGORIES:Variétés rationnelles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20120413T160000
DTEND;TZID=Europe/Paris:20120413T170000
DTSTAMP:20260427T175225
CREATED:20120413T140000Z
LAST-MODIFIED:20211104T092140Z
UID:8077-1334332800-1334336400@www.math.ens.psl.eu
SUMMARY:Principe de Hasse sur les corps de fonctions de surfaces
DESCRIPTION:Soit K le corps de fonctions d’une courbe p-adique\, G un groupe semi-simple simplement connexe sur K et X un G-torseur. Une conjecture de Colliot-Thélène\, Parimala et Suresh énonce  que si pour toute valuation discrète v de K\, X a des points à valeurs dans le complété K_v\,  alors X a un K-point rationnel. Dans cet exposé\, on discute cette conjecture pour les torseurs de certains groupes de types classiques. Notre méthode s’applique également au cas où K est le corps des fractions d’un anneau local intègre hensélien excellent de corps résiduel fini.
URL:https://www.math.ens.psl.eu/evenement/principe-de-hasse-sur-les-corps-de-fonctions-de-surfaces/
LOCATION:Salle W
CATEGORIES:Variétés rationnelles
END:VEVENT
END:VCALENDAR