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Göttingen, University, Diss., 2004. / Erscheinungsjahr an der Haupttitelstelle: 2003.

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No description available.

The fundamental theorem of projective geometry states that a mapping from a projective space to itself whose range has a sufficient number of points in general position is a projective transformation possibly combined with a self-homomorphism of the underlying field. We obtain generalisations of this in many directions, dealing with the case where the mapping is only defined on an open subset of the underlying space, or a subset of positive measure, and dealing with many different spaces over many different rings.

The fundamental theorem of projective geometry states that a mapping from a projective space to itself whose range has a sufficient number of points in general position is a projective transformation possibly combined with a self-homomorphism of the underlying field. We obtain generalisations of this in many directions, dealing with the case where the mapping is only defined on an open subset of the underlying space, or a subset of positive measure, and dealing with many different spaces over many different rings.

Parents modulate the phenotypes of their offspring, beyond the effects of the genes they pass on. These parental effects can have impacts on the fitnesses of those offspring, as well as the fitness of the parents themselves. Parental investment in offspring is expected to be under antagonistic selection through its beneficial effects to offspring, and its detrimental effects on the parent's own fitness. Evolutionary conflict over parental care is therefore expected to occur, and may cause evolutionary stasis. Furthermore, selection is also expected to act on offspring traits, in order to maximise offspring fitness within a given parental environment, generating predictions of parent-offspring coadaptation. I tested the predictions of conflict and coadaptation in parent-offspring interactions, using a population of blue tits (Cyanistes caeruleus), a species in which adults provide biparental care to their offspring. I found evolutionary conflict over offspring body mass, which may explain stasis in this trait. I also used a cross-fostering design to test for coadaptation between parents and offspring, and siblings. I did not find evidence for parent-offspring coadaptation, nor did I find that siblings were important through either direct interactions, or in mediating parent-offspring interactions, suggesting that there is little family coadaptation in this species. In addition, I investigated whether a maternal effect on hatching time was a passive consequence of environmental changes, or was an anticipatory maternal effect actively placed in eggs to manipulate hatching time. The results from this analysis suggest the latter to be the case, and mothers appear to actively manipulate offspring hatching time to reduce the extent of hatching asynchrony, which may reduce fitness costs to the offspring. By measuring the effects of interactions between individuals on phenotypes and fitness measures, I was able to show how parental effects on offspring can affect evolutionary dynamics. Such evidence of evolutionary conflicts has not previously been found, due to methodological issues with the ways in which selection has been measured. Thus, I highlight how gaps in knowledge about the evolutionary consequences of parental effects can be addressed using appropriate statistical tools and measures of fitness.

Cette thèse est consacrée à une classe de groupes, appelés groupes de Kac-Moody, qui généralise de façon naturelle les groupes de Lie semi-simples, ou plus précisément, les groupes algébriques réductifs, dans un contexte infini-dimensionnel. On s'intéresse plus particulièrement au problème d'isomorphismes pour ces groupes, en vue d'obtenir un analogue infini-dimensionnel de la célèbre théorie des homomorphismes 'abstraits' de groupes algébriques simples, due à Armand Borel et Jacques Tits. Le problème d'isomorphismes qu'on étudie s'avère être un cas particulier d'un problème plus général, qui consiste à caractériser les homomorphismes de groupes algébriques vers les groupes de Kac-Moody, dont l'image est bornée. Ce problème peut à son tour s'énoncer comme un problème de rigidité pour les actions de groupes algébriques sur les immeubles, via l'action naturelle d'un groupe de Kac-Moody sur une paire d'immeubles jumelés. Les résultats partiels, relatifs à ce problème de rigidité, que nous obtenons, nous permettent d'apporter une solution complète au problème d'isomorphismes pour les groupes de Kac-Moody déployés. En particulier, on obtient un résultat de dévissage pour les automorphismes de ces objets. Celui-ci fournit à son tour une description complète de la structure du groupe d'automorphismes d'un groupe de Kac-Moody déployé sur un corps de caractéristique~$0$. Nos arguments permettent également de traiter de façon analogue certaines formes anisotropes de groupes de Kac-Moody complexes, appelées formes unitaires. On montre en particulier que la topologie Hausdorff naturelle que portent ces formes est un invariant de leur structure de groupe abstrait. Ceci généralise un résultat bien connu de H. Freudenthal pour les groupes de Lie compacts. Enfin, l'on s'intéresse aux homomorphismes de groupes de Kac-Moody à image fini-dimensionnelle, et l'on démontre la non-existence de tels homomorphismes à noyau central, lorsque le domaine est un groupe de Kac-Moody de type indéfini sur un corps infini. Ceci réduit un problème ouvert, dit problème de linéarité pour les groupes de Kac-Moody, au cas de corps de base finis.

<p>Förekomsten av migration är vida känt i djurvärlden och fåglars flyttning är kanske den mest uppenbara typen. I vissa populationer flyttar alla fåglar, i andra flyttar ingen. Blåmesen tillämpar partiell migration, dvs. en del individer i populationen flyttar medan andra stannar. Vissa år lämnar partiellt flyttande fåglar fortplantningsområdet i stora antal och invaderar andra områden – dålig födotillgång och höga populationstätheter är två viktiga, utlösande faktorer.</p><p>I den här studien undersöktes successionen av flyttande blåmesar vid Hammarö fågelstation i norra delen av Vänern (HBO) med avseende på ålders- och könsfördelning. Under höstarna 1977-2005 fångades och ringmärktes totalt 13 944 blåmesar vid HBO. Den största delen av de fångade blåmesarna var ungfåglar, av vilka honor och obestämda fåglar dominerade. Juvenila hanar utgjorde den tredje största gruppen, medan de adulta fåglarna var få. Den period då de flesta fåglarna fångades var 28 september till 2 oktober. Mediandatum för fångst var 2 oktober, medan medeldatumet var 30 september. Tvärtemot förutsägelserna anlände inte juvenila honor signifikant tidigare än andra kategorier. Det finns en trend att fåglarna fångas allt tidigare på hösten, vilket kan vara ett resultat av ett varmare vårklimat med tidigarelagd häckning som följd. Regressioner visade att proportionen juvenila fåglar ökade signifikant med medelankomstdatum och med det totala antalet fångade fåglar. En jämförelse mellan HBO, Falsterbo och Ottenby visade att fåglarna anlände signifikant tidigare till HBO. 1990 och 2003 var de enda år då HBO, Falsterbo, Ottenby och Jomfruland fångade fler fåglar än respektive stations medelvärde. Åren 1995, 1998 och 2002 fångades färre fåglar än medelvärdet på samtliga stationer.</p> / <p>Animal migration is a well known natural phenomenon and bird migration is perhaps the most obvious type. In some bird populations all individuals migrate, while in others only a fraction of the population migrates. The blue tit is a partial migrant; i.e. some individuals in the population migrate while others are sedentary. Some years, large numbers of partial migrants leave their breeding grounds and appear as invasion species in other areas. Shortage of food and high population densities are suggested as two important releasing factors. Theory predicts that juvenile birds, especially females, should arrive earlier since they are smaller and therefore are forced to leave their birth areas first.</p><p>In this study, the migration of blue tits at Hammarö Bird Observatory in northern lake Vänern (HBO) was examined with respect to age and sex distribution. During the autumns of 1977-2005, a total number of 13 944 blue tits were caught and ringed at HBO. A large fraction of the caught blue tits were juveniles, of which female and non-sexed birds dominated. Juvenile males were the third largest group, whereas adults were only caught in small numbers. The period when most birds arrived was between 28th of September and 2nd of October, but juvenile females did not arrived significantly earlier. The median arrival date was the 2nd of October, and the mean arrival date was 30th of September. There was a trend of earlier arrival dates, which may be due to warmer spring climate leading to an earlier breeding start. Analyses showed that the proportion of juveniles increased significantly with mean arrival date and total number of birds caught. Comparison between HBO, Falsterbo and Ottenby showed that birds arrived significantly earlier at HBO. In 1990 and 2003 all bird observatories (HBO, Falsterbo, Ottenby and Jomfruland) captured more birds than respectively stations average and in 1995, 1998 and 2002 fewer birds than average were captured at all sites.</p>