Tannakian Formalism Applied to the Category of Mixed Hodge Structures

Many problems in analysis have been solved using the theory of Hodge structures. P. Deligne started to treat these structures in a categorical way. Following him, we introduce the categories of mixed real and complex Hodge structures. Category of mixed Hodge structures over the field of real or complex numbers is a rigid abelian tensor category, and in fact, a neutral Tannakian category. Therefore it is equivalent to the category of representations of an affine group scheme. The direct sums of pure Hodge structures of different weights over real or complex numbers can be realized as a representation of the torus group, whose complex points is the Cartesian product of two punctured complex planes. Mixed Hodge structures turn out to consist of information of a direct sum of pure Hodge structures of different weights and a nilpotent automorphism. Therefore mixed Hodge structures correspond to the representations of certain semidirect product of a nilpotent group and the torus group acting on it.

Cross-Border Competence Management in Emerging Markets: Voices from China and Russia

This book is on cross-border competence management in Russia and China. Corporations are facing a number of problems and challenges in their international operations, to which there typically are no simple solutions. For instance, they need to understand and respond to cultural and institutional diversity and ascertain that their foreign units are integrated with the rest of the corporation. Throughout this report we will discuss a range of challenges confronting firms as they seek to develop their capabilities to operate internationally. Some of the challenges are clearly case specific, and although this book aims to offer research-based advice to practicing managers there is a potential danger in applying lessons from other companies to the own firm. Our hope is that our analyses of the challenges facing Finnish corporations in China and Russia reported together with extensive quotes from our interviews and insights from other recent studies will help readers draw their own conclusions as to how to deal with issues related to competence management across borders. With this book we also aspire to contribute to the academic literature by providing new insights into cross-border competence management in general and the operations of Finnish corporations in Russia and China in particular.

Moral Professionalism in Interaction : Educators' Relational Moral Voices in Urban Schools

The aim of this study was to investigate educators relational moral voices in urban schools and to listen to what they told about moral professionalism and moral practices in challenging urban schools. Their relational moral voices were investigated through the following three questions: 1. What are the educators moral voices in relation to themselves and other people? 2. What are the educators moral voices in relation to their work and society? 3. What kind of interaction process lies between the educators moral voices and the urban school context? The research data of this study were gathered in four urban schools in Jyväskylä and Helsinki. The research schools were chosen for this study according to the criteria of the international Socrates Comenius project called Leading Schools Successfully in Challenging Urban Context: Strategies for Improvement. This study formed part of this project, which investigated successful urban schools as challenging learning environments in nine European countries and explored the principals success in leadership in particular. The data, which included 37 narratively constructed interviews with four principals and key informants selected by the principals, were gathered in interviews conducted in 2006. In other words, the data comprised three interviews with each of four principals, and interviews with two teachers, two parents, and two pupils from each school. In addition, the school deacon from one school was also interviewed. Furthermore, part of the data from one of the research schools included a medium report of the school deacon s work. This study combined the case study method, the narrative approach and the critical incident technique as the methodological framework. In addition, all of these methods served as practical tools for both analyzing and reporting the data. The educators' narrations and the results of the study appear in the original articles (Hanhimäki & Tirri 2008; Hanhimäki 2008b; Hanhimäki & Tirri 2009; Hanhimäki 2008a). The educators moral voices in relation to themselves and other people emerged through the main themes of moral leadership, the development and evaluation process, moral sensitivity, gender, values, and student well-being. The educators moral voices in relation to their work and society emerged through the main themes of multiprofessional cooperation, families and parental involvement, and moral school culture. The idea of moral interaction connected moral professionalism and the methodological combination of this study, which together emphasized social interaction and the creation of understanding and meaning in this interaction. The main point of this study was to state that the educators moral voices emerged in the interaction between the educators themselves and the urban school context. In this interaction, the educators moral professionalism was constructed and shaped in relation to themselves, other people, their work and society. The loudest relational moral voices heard through the main themes were those of caring, cooperation, respect, commitment, and professionalism. When the results were compared to the codes of ethics which guided these educators moral professional work, the ethical principles and values of the codes were clearly visible in their moral practices. The loudest message from the educators narration could be summarized in the words caring, respect and cooperation: at its best, there is just a human being and a human being with caring, respect and cooperation between them. The results of this study emphasize the need for practical approaches such as case studies and the narrative approach in teacher education to encourage educators to become moral professionals capable of meeting the needs of people of varied backgrounds. In addition, opportunities for moral, religious and spiritual education should be noticed and utilized in the plural interaction of urban schools when nurturing pupils and creating a moral school culture. Furthermore, multiprofessional cooperation and parents as the school s primary cooperation partner are needed to carry out the shared duty of moral education in urban schools. Keywords: moral professionalism, educator, relational moral voice, interaction, urban school

Root system traits of Norway spruce, Scots pine, and silver birch in mixed boreal forests: an analysis of root architecture, morphology, and anatomy

The aim of this thesis was to unravel the functional-structural characteristics of root systems of Betula pendula Roth., Picea abies (L.) Karst., and Pinus sylvestris L. in mixed boreal forest stands differing in their developmental stage and site fertility. The root systems of these species had similar structural regularities: horizontally-oriented shallow roots defined the horizontal area of influence, and within this area, each species placed fine roots in the uppermost soil layers, while sinker roots defined the maximum rooting depth. Large radial spread and high ramification of coarse roots, and the high specific root length (SRL) and root length density (RLD) of fine roots indicated the high belowground competitiveness and root plasticity of B. pendula. Smaller radial root spread and sparser branching of coarse roots, and low SRL and RLD of fine roots of the conifers could indicate their more conservative resource use and high association with and dependence on ectomycorrhiza-forming fungi. The vertical fine root distributions of the species were mostly overlapping, implying the possibility for intense belowground competition for nutrients. In each species, conduits tapered and their frequency increased from distal roots to the stem, from the stem to the branches, and to leaf petioles in B. pendula. Conduit tapering was organ-specific in each species violating the assumptions of the general vascular scaling model (WBE). This reflects the hierarchical organization of a tree and differences between organs in the relative importance of transport, safety, and mechanical demands. The applied root model was capable of depicting the mass, length and spread of coarse roots of B. pendula and P. abies, and to the lesser extent in P. sylvestris. The roots did not follow self-similar fractal branching, because the parameter values varied within the root systems. Model parameters indicate differences in rooting behavior, and therefore different ecophysiological adaptations between species.