| Events in the ANR network, announced in 2012 |
| Other events, organized by ANR staff members, announced in 2012 |
| Other events, organized by ANR staff members, announced in 2013 |
Opening: Wednesday 19 December 14:00
Closing: Thursday 20 December 16:45
Place: the seminar will be held at the Laboratoire J.A. Dieudonné, Université de Nice, campus de la faculté des sciences, parc Valrose (see http://math.unice.fr/plan-daccès for directions).
The program, to be announced soon, will include general audience talks on project topics, and will leave plenty of time for informal discussions.
Wednesday 19 December:
14:00 Coffee
14:30-15:30 Alexander Berglund (Copenhagen & Stockholm) "Rational homotopy theory of automorphisms of highly connected manifolds"
I will talk about joint work with Ib Madsen on the rational homotopy type of classifying spaces of various kinds of automorphisms of highly connected manifolds. We prove a homological stability theorem for the automorphisms of a g-fold connected sum of SdxSd as g tends to infinity. The proof consists in a reduction to stability theorems for the homology of orthogonal and symplectic groups with coefficients in polynomial functors. Along the way, certain Lie algebras of symplectic derivations appear that have appeared before in the work of Kontsevich on the cohomology of outer automorphisms of free groups.
15:30-16:30 Marcy Robertson (Lille 1 & Western Ontario) "On the homotopy theory of props"
Props have the capability to control algebraic structures more general than those described by operads; for example, there is a prop governing Hopf algebras and a prop governing conformal field theories. We study the category consisting of all (colored, simplicial) props. We show that this category is a closed symmetric monoidal category with tensor product closely related to the Boardman-Vogt tensor product of operads. Furthermore, this category admits a Quillen model structure which restricts to the model structure for (colored) operads and to the Bergner model structure for simplicial categories. While not exactly a moniodal model category, we show that this tensor product is homotopically well behaved with respect to certain subcategories of props. We will discuss how one can use this model structure and the free-forgetful adjunction between props and operads to study the Bordman-Vogt tensor product and coproducts of operads. This is joint work with Phillip Hackney.
16:30 : Coffee
17:00-18:00 Benoit Fresse (Lille 1) "Rational homotopy of operads (a survey)".
Thursday 20 December:
09:00 Coffee
09:30-10:30 Christine Vespa (Strasbourg) "On the homology of automorphism groups of free groups with polynomial coefficients"
10:30 Coffee
11:00-12:00 Sinan Yalin (Lille 1) "Espaces classifiant et espaces de modules d'algèbres sur un prop"
on définit la notion d'espace classifiant d'une catégorie d'algèbres sur un prop et on montre qu'une équivalence faible entre props cofibrants induit une équivalence faible des espaces classifiant. Cet invariant homotopique de la catégorie considérée est donc bien défini. En particulier, si on se fixe un prop P, l'espace classifiant est indépendant de la résolution cofibrante de P choisie. Un tel résultat est connu pour les algèbres sur une opérade, mais l'absence de structure de catégorie de modèles pour les algèbres sur un prop implique l'utilisation de méthodes différentes. Une application de ce résultat est la suivante: on introduit la notion d'espaces de modules (simplicial) de structures d'algèbres sur un prop et on généralise dans ce cadre un théorème central de la thèse de Charles Rezk.
14:00-15:00 Greg Arone (Virginia) "The relevance of operads to the calculus of functors"
15:00 Coffee
15:30-16:30 Charles Torossian (IGEN & Paris 7) "Une construction à la Kontsevich de l'associateur de Knizhnik-Zamolodchikov".
Opening: Thursday 22 March 14:00
Closing: Friday 23 March 15:30
Place: the seminar will take place at the Laboratoire Paul Painlevé, Université Lille 1. Talks will be given in the "salle de réunion", building M2 of the Cité Scientifique campus, at Université Lille 1. See the web-page InfosPratiques.html for comprehensive practical information.
The program includes five general audience talks on project topics, and will leave plenty of time for informal discussions.
Thursday 22 March:
14:00 Coffee
14:30-15:30 Carlo Antonio Rossi (MPI Bonn) "On singular propagators"
The speaker being sick, this talk is canceled and is replaced by the following talk by Muriel Livernet.
14:30-15:30 Muriel Livernet (Paris 13) "Une etude de l'homologie de l'opérade Swiss-Cheese"
Une des methodes pour approximer l'homologie des operades Swiss Cheese est d'utiliser une compactification a la Fulton MacPherson de l'espace des configurations de points dans le demi-plan de Poincare, puis une filtration associee a la compactification. Ceci a ete fait avec succes par Getzler Jones, puis adapte par Voronov pour l'operade des petits disques, afin de demontrer la conjecture de Deligne. Nous expliquerons en quoi l'operade Swiss-Cheese est une version relative de l'operade des petits cubes, et la raison pour laquelle il n'est pas si aise d'adapter les resultats obtenus pour les petits cubes au cas relatif.
15:30 Coffee
16:00-17:00 Pierre Lochak (CNRS & Paris 6) "Un point de vue topologique sur la théorie de Grothendieck-Teichmüller"
Friday 23 March:
9:00 Coffee
9:30-10:30 Jean-Louis Loday (CNRS & Strasbourg) "Algebras, operads, combinads"
10:30 Coffee
11:00-12:00 Olivia Bellier (Nice) "Dualité de Koszul relative"
14:00-15:00 Constanze Roitzheim (Glasgow) "Monoidality of exotic models".
In the last decades homotopy theorists have been studying the stable homotopy category by looking at its "atomic parts", i.e. by chromatic localisation. A special case is localisation at topological K-theory which has an algebraic description at odd primes. We are going to explain the tensor product structure of this so-called exotic model and relate it to the monoidal structure of its geometric counterpart.
Thursday 29 November:
14:00 Reception coffee
14:30-15:45 Hiroaki Nakamura (Okayama) "Ascending a tower of Galois-Teichmüller in higher genera"
In this talk, I will illustrate some basic tool kit to understand Galois actions on mapping class groups of surfaces. Tangential base points arising from pants decompositions will be focused.
15:45 Coffee
16:15-17:15 Benoit Fresse (Lille 1) "Grothendieck-Teichmüller groups from a homotopical viewpoint"
The main purpose of this talk is to explain a topological interpretation of the Grothendieck-Teichmüller group, in terms of a group of homotopy automorphisms associated with an operad in topological spaces, the little 2-discs operad. We will review the definition of this operad, initially introduced to understand the structure of iterated loop spaces, and explain the significance of homotopy automorphism groups which motivates the study of Grothendieck-Teichmüller groups from a topological viewpoint.
Friday 30 November:
09:30 Coffee
10:00-11:15 Hiroaki Nakamura (Okayama) "Some open problems on profinite Dehn-Nielsen monodromy"
In this talk, I will illustrate known results and open problems arising in profinite outer representations of Galois-Teichmüller groups.
12:00 Lunch at the Barrois cafeteria
14:00-15:00 Christophe Cazanave (Nice) "Algebraic homotopy classes of integral rational functions"
A naive approach to understand what homotopy classes of pointed maps from P1 to itself are (in the sense of Morel-Voevodsky) is to compute the set of homotopy classes of rational functions. After recalling the situation when the base is a field, I will consider more general bases (in particular the integers).
The seminar will take place at the Laboratoire Paul Painlevé, Université Lille 1. The Thursday and Friday morning talks will be given in the "salle de visio-conférence" (building M3, 2nd floor). The Friday afternoon talk will be given in the "salle Duhem" (building M3, 1st floor).
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11 January 2012 |