Conjecture de Bloch et nombres de Milnor

In this paper, we prove that the conductor formula of Bloch implies the conjecture of Deligne on Milnor numbers of isolated singularities. In particular, thanks to the work of Bloch on his conjecture, our result implies that this so-called Deligne-Milnor's conjecture is equally true in the unequal characteristic case

Modifications et cycles proches sur une base générale

International audienceSi l'on étudie les cycles évanescents, c'est-à-dire la cohomologie (étale) des fibres de Milnor d'un morphisme de but de dimension >1, on perd les propriétés, démontrées par P. Deligne dans SGA 4 1/2, de commutation au changement de base et constructibliité. Dans cet article, on montre, après avoir rappelé la définition du complexe des cycles proches dans ce contexte, qu'on retrouve ces propriétés après modification de la base. L'ingrédient essentiel est un théorème de A.J. de Jong sur les fibrations plurinodales. Une application du formalisme aux pinceaux de Lefschetz est donnée

Isomotifs de dimension inférieure ou égale à un

International audienceAprès avoir rappelé quelques résultats de V. Voevodsky sur sa catégorie de motifs (cf. [Voe00]), on démontre l'équivalence de catégories, annoncée dans loc. cit. § 3.4 (p. 218), entre la catégorie dérivée des 1-isomotifs de P. Deligne sur un corps parfait d'une part et la catégorie triangulée des motifs géométriques effectifs de dimension inférieure ou égale à un

Replaying the tape of life in the twenty-first century

International audienceShould the tape of life be replayed, would it produce similar living beings? A classical answer has long been ‘no’, but accumulating data are now challenging this view. Repeatability in experimental evolution, in phenotypic evolution of diverse species and in the genes underlying phenotypic evolution indicates that despite unpredictability at the level of basic evolutionary processes (such as apparition of mutations), a certain kind of predictability can emerge at higher levels over long time periods. For instance, a survey of the alleles described in the literature that cause non-deleterious phenotypic differences among animals, plants and yeasts indicates that similar phenotypes have often evolved in distinct taxa through independent mutations in the same genes. Does this mean that the range of possibilities for evolution is limited? Does this mean that we can predict the outcomes of a replayed tape of life? Imagining other possible paths for evolution runs into four important issues: (i) resolving the influence of contingency, (ii) imagining living organisms that are different from the ones we know, (iii) finding the relevant concepts for predicting evolution, and (iv) estimating the probability of occurrence for complex evolutionary events that occurred only once during the evolution of life on earth

Biofilms in porous media: development of macroscopic transport equations via volume averaging with closure for local mass equilibrium conditions

In this work, we upscale a pore-scale description of mass transport in a porous medium containing biofilm to develop the relevant Darcy-scale equations. We begin with the pore-scale descriptions of mass transport, interphase mass transfer, and biologically-mediated reactions; these processes are then upscaled using the method of volume averaging to obtain the macroscale mass balance equations. We focus on the case of local mass equilibrium conditions where the averaged concentrations in the fluid and biological phases can be assumed to be proportional and for which a one-equation macroscopic model may be developed. We predict the effective dispersion tensor by a closure scheme that is solved for the cases of both simple and complex unit cells. The domain of validity of the approach is clearly identified, both theoretically and numerically, and unitless groupings indicating the domain of validity are reported

FlyPNS, a database of the Drosophila embryonic and larval peripheral nervous system

BACKGROUND: The embryonic and larval peripheral nervous system of Drosophila melanogaster is extensively studied as a very powerful model of developmental biology. One main advantage of this system is the ability to study the origin and development of individual sensory cells. However, there remain several discrepancies regarding the organization of sensory organs in each abdominal segment A1-A7. DESCRIPTION: We have constructed a web site called FlyPNS (for Fly Peripheral Nervous System) that consolidates a wide range of published and unpublished information about the embryonic and larval sensory organs. It communicates (1) a PNS pattern that solves the discrepancies that have been found in the recent literature, (2) the correspondence between the different nomenclatures that have been used so far, (3) a comprehensive description of each sensory organ, and (4) a list of both published and unpublished markers to reliably identify each PNS cell. CONCLUSIONS: The FlyPNS database integrates disparate data and nomenclature and thus helps understanding the conflicting observations that have been published recently. Furthermore, it is designed to provide assistance in the identification and study of individual sensory cells. We think it will be a useful resource for any researcher with interest in Drosophila sensory organs

The Coding Loci of Evolution and Domestication: Current Knowledge and Implications for Bio-Inspired Genome Editing

International audienceOne promising application of CRISPR/Cas9 is to create targeted mutations to introduce traits of interest into domesticated organisms. However, a major current limitation for crop and livestock improvement is to identify the precise genes and genetic changes that must be engineered to obtain traits of interest. Here we discuss the advantages of bio-inspired genome editing, i.e. the engineered introduction of natural mutations that have already been associated with traits of interest in other lineages (breeds, populations, or species). To get a landscape view of potential targets for genome editing, we used Gephebase (www.gephebase.org), a manually-curated database compiling published data about the genes responsible for evolutionary and domesticated changes across Eukaryotes, and examined the >1,200 mutations that have been identified in the coding regions of more than 700 genes in animals, plants and yeasts. We observe that our genetic knowledge is relatively important for certain traits, such as xenobiotic resistance, and poor for others. We also note that protein-null alleles, often due to nonsense and frameshift mutations, represent a large fraction of the known loci of domestication (42% of identified coding mutations), compared to intraspecific (27%) and interspecific evolution (11%). While this trend may be subject to detection, publication, and curation biases, it is consistent with the idea that breeders have selected large-effect mutations underlying adaptive traits in specific settings, but that these mutations and associated phenotypes would not survive the vagaries of changing external and internal environments. Our compilation of the loci of evolution and domestication uncovers interesting options for bio-inspired and transgene-free genome editing

The differential view of genotype–phenotype relationships

International audienceAn integrative view of diversity and singularity in the living world requires a better understanding of the intricate link between genotypes and phenotypes. Here we re-emphasize the old standpoint that the genotype–phenotype (GP) relationship is best viewed as a connection between two differences, one at the genetic level and one at the phenotypic level. As of today, predominant thinking in biology research is that multiple genes interact with multiple environmental variables (such as abiotic factors, culture, or symbionts) to produce the phenotype. Often, the problem of linking genotypes and phenotypes is framed in terms of genotype and phenotype maps, and such graphical representations implicitly bring us away from the differential view of GP relationships. Here we show that the differential view of GP relationships is a useful explanatory framework in the context of pervasive pleiotropy, epistasis, and environmental effects. In such cases, it is relevant to view GP relationships as differences embedded into differences. Thinking in terms of differences clarifies the comparison between environmental and genetic effects on phenotypes and helps to further understand the connection between genotypes and phenotypes