Hopf monads on monoidal categories

We define Hopf monads on an arbitrary monoidal category, extending the definition given previously for monoidal categories with duals. A Hopf monad is a bimonad (or opmonoidal monad) whose fusion operators are invertible. This definition can be formulated in terms of Hopf adjunctions, which are comonoidal adjunctions with an invertibility condition. On a monoidal category with internal Homs, a Hopf monad is a bimonad admitting a left and a right antipode. Hopf monads generalize Hopf algebras to the non-braided setting. They also generalize Hopf algebroids (which are linear Hopf monads on a category of bimodules admitting a right adjoint). We show that any finite tensor category is the category of finite-dimensional modules over a Hopf algebroid. Any Hopf algebra in the center of a monoidal category C gives rise to a Hopf monad on C. The Hopf monads so obtained are exactly the augmented Hopf monads. More generally if a Hopf monad T is a retract of a Hopf monad P, then P is a cross product of T by a Hopf algebra of the center of the category of T-modules (generalizing the Radford-Majid bosonization of Hopf algebras). We show that the comonoidal comonad of a Hopf adjunction is canonically represented by a cocommutative central coalgebra. As a corollary, we obtain an extension of Sweedler's Hopf module decomposition theorem to Hopf monads (in fact to the weaker notion of pre-Hopf monad).Comment: 45 page

Détermination d'une nouvelle loi de comportement élasto-viscoplastique pour une fonte à graphite sphéroidal. Application au dimensionnement à la fatigue oligocyclique d'un collecteur d'échappement de moteur diesel automobile

National audienceLe travail présenté ici porte sur le développement d'une nouvelle loi de comportement mécanique élastoviscoplastique. Cette dernière est développée dans le but de dimensionner à la fatigue thermomécanique des structures de l'industrie automobile travaillant à hautes températures en décrivant au mieux la viscosité sur une large gamme de sollicitation. Ce nouveau modèle a été implémenté dans le code Abaqus en se basant sur l'algorithme du retour radial. Des simulations thermomécaniques ont été ensuite réalisées sur des collecteurs d'échappement et ont permis de prédire la tenue dimensionnelle ainsi que les zones à risque du point de vue fissuration

Mise au point d'un nouveau modèle de comportement élasto-viscoplastique. Application au dimensionnement à la fatigue d'un collecteur d'échappement de moteur Diesel en fonte

National audienceFatigue design of structures for high temperature service resorts to modelling based on elasto-viscoplasticity constitutive laws. The new model describes complex anisothermal cyclic loadings, accounting for viscosity on a large range of strain. The new constitutive law that has been developed for nodular cast iron, is intended for the design of automotive parts for high temperature service

Détermination d'une nouvelle loi de comportement élasto-viscoplastique pour une fonte à graphite sphéroïdal. Application au dimensionnement à la fatigue oligocyclique d'un collecteur d'échappement de moteur Diesel

Le travail présenté ici porte sur le développement d'une nouvelle loi de comportement mécanique élasto-viscoplastique. Cette dernière est développée dans le but de dimensionner à la fatigue thermomécanique des structures de l'industrie automobile travaillant à hautes températures en décrivant au mieux la viscosité sur une large gamme de sollicitation. Ce nouveau modèle a été implémenté dans le code Abaqus en se basant sur l'algorithme du retour radial. Des simulations thermomécaniques ont été ensuite réalisées sur des collecteurs d'échappement et ont permis de prédire la tenue dimensionnelle ainsi que les zones à risque du point de vue fissuration

Hydrodynamics of high-redshift galaxy collisions: From gas-rich disks to dispersion-dominated mergers and compact spheroids

Disk galaxies at high redshift (z~2) are characterized by high fractions of cold gas, strong turbulence, and giant star-forming clumps. Major mergers of disk galaxies at high redshift should then generally involve such turbulent clumpy disks. Merger simulations, however, model the ISM as a stable, homogeneous, and thermally pressurized medium. We present the first merger simulations with high fractions of cold, turbulent, and clumpy gas. We discuss the major new features of these models compared to models where the gas is artificially stabilized and warmed. Gas turbulence, which is already strong in high-redshift disks, is further enhanced in mergers. Some phases are dispersion-dominated, with most of the gas kinetic energy in the form of velocity dispersion and very chaotic velocity fields, unlike merger models using a thermally stabilized gas. These mergers can reach very high star formation rates, and have multi-component gas spectra consistent with SubMillimeter Galaxies. Major mergers with high fractions of cold turbulent gas are also characterized by highly dissipative gas collapse to the center of mass, with the stellar component following in a global contraction. The final galaxies are early-type with relatively small radii and high Sersic indices, like high-redshift compact spheroids. The mass fraction in a disk component that survives or re-forms after a merger is severely reduced compared to models with stabilized gas, and the formation of a massive disk component would require significant accretion of external baryons afterwards. Mergers thus appear to destroy extended disks even when the gas fraction is high, and this lends further support to smooth infall as the main formation mechanism for massive disk galaxies.Comment: ApJ accepte

Multidisciplinary Prospective Study of Mother-to-Child Chikungunya Virus Infections on the Island of La Réunion

In a prospective study on the island of La Réunion, Marc Lecuit and colleagues find frequent transmission of Chikungunya virus by viremic mothers giving birth during an outbreak, resulting in serious infant illness

NF-κB, stem cells and breast cancer: the links get stronger

Self-renewing breast cancer stem cells are key actors in perpetuating tumour existence and in treatment resistance and relapse. The molecular pathways required for their maintenance are starting to be elucidated. Among them is the transcription factor NF-κB, which is known to play critical roles in cell survival, inflammation and immunity. Recent studies indicate that mammary epithelial NF-κB regulates the self-renewal of breast cancer stem cells in a model of Her2-dependent tumourigenesis. We will describe here the NF-κB-activating pathways that are involved in this process and in which progenitor cells this transcription factor is actually activated

Gas dynamics in tidal dwarf galaxies : disc formation at z=0

Tidal dwarf galaxies (TDGs) are recycled objects that form within the collisional debris of interacting/merging galaxies. They are expected to be devoid of non-baryonic dark matter, since they can form only from dissipative material ejected from the discs of the progenitor galaxies. We investigate the gas dynamics in a sample of six bona-fide TDGs around three interacting and post-interacting systems: NGC 4694, NGC 5291, and NGC 7252 ("Atoms for Peace"). For NGC 4694 and NGC 5291 we analyse existing HI data from the Very Large Array (VLA), while for NGC 7252 we present new HI observations from the Jansky VLA together with long-slit and integral-field optical spectroscopy. For all six TDGs, the HI emission can be described by rotating disc models. These HI discs, however, have undergone less than a full rotation since the time of the interaction/merger event, raising the question of whether they are in dynamical equilibrium. Assuming that these discs are in equilibrium, the inferred dynamical masses are consistent with the observed baryonic masses, implying that TDGs are devoid of dark matter. This puts constraints on putative "dark discs" (either baryonic or non-baryonic) in the progenitor galaxies. Moreover, TDGs seem to systematically deviate from the baryonic Tully-Fisher relation. These results provide a challenging test for alternative theories like MOND.Peer reviewe