I sensi spirituali nel Liber di Angela da Foligno. La metafora del "gusto" nel Liber di Angela da Foligno e nella mistica femminile francescana tra XIII e XIV secolo.

Angela da Foligno’s Liber is a fundamental text for the scholar of Women Mystics between the XIIIth and the XIVth century in Italy and all over Europe, and it has been chosen in my research because of its originality, with refer of its feminine and franciscan essence. Angela teaches to the italian hagiographic tradition the internal point of view of the holy woman, who becomes the teller of her both ordinary and extraordinary experiences. After giving references about the religious and social historical universe in evolution during the XIIth century, my research proceeds with a linguistic and rhetorical analysis based upon the Liber. I have been searching in Angela’s text and in contemporary italian feminine hagiography the sensory metaphor of “tasting”. That kind of metaphor has an ancient memory and, thanks to the Origene’s studies - the Christian Father of the IIIrd century - we can easily recognize it already in the Bible; Origene identifies the sensory metaphor as a rhetoric system, able to exemplify the God learning process of soul. Theory of “spiritual senses”, theory of vision and rhetoric, evolving from the IIIrd to the XIIIth century, are the theological and linguistic heritage of our feminine and franciscan literature. Inside of that, the metaphor of “tasting” moves and changes, therefore becoming the favourite way of mystics to represent the contact of their souls with God.

Il concetto di sezione nel metodo compositivo di Aldo Rossi.

Purpose of this research is to deepen the study on the section in architecture. The survey aims as important elements in the project Teatro Domestico by Aldo Rossi built for the XVII Triennale di Milano in 1986 and, through the implementation on several topics of architecture, verify the timeliness and fertility in the new compositional exercises. Through the study of certain areas of the Rossi’s theory we tried to find a common thread for the reading of the theater project. The theater is the place of the ephemeral and the artificial, which is why his destiny is the end and the fatal loss. The design and construction of theater setting has always had a double meaning between the value of civil architecture and testing of new technologies available. Rossi's experience in this area are clear examples of the inseparable relationship between the representation of architecture as art and design of architecture as a model of reality. In the Teatro Domestico, the distinction between representation and the real world is constantly canceled and returned through the reversal of the meaning and through the skip of scale. At present, studies conducted on the work of Rossi concern the report that the architectural composition is the theory of form, focusing compositional development of a manufacturing process between the typological analysis and form invention. The research, through the analysis of some projects few designs, will try to analyze this issue through the rules of composition both graphical and concrete construction, hoping to decipher the mechanism underlying the invention. The almost total lack of published material on the project Teatro Domestico and the opportunity to visit the archives that preserve the drawings, has allowed the author of this study to deepen the internal issues in the project, thus placing this search as a first step toward possible further analysis on the works of Rossi linked to performance world. The final aim is therefore to produce material that can best describe the work of Rossi. Through the reading of the material published by the same author and the vision of unpublished material preserved in the archives, it was possible to develop new material and increasing knowledge about the work, otherwise difficult to analyze. The research is divided into two groups. The first, taking into account the close relationship most frequently mentioned by Rossi himself between archeology and architectural composition, stresses the importance of tipo such as urban composition reading system as well as open tool of invention. Resuming Ezio Bonfanti’s essay on the work of the architect we wanted to investigate how the paratactic method is applied to the early work conceived and, subsequently as the process reaches a complexity accentuated, while keeping stable the basic terms. Following a brief introduction related to the concept of the section and the different interpretations that over time the term had, we tried to identify with this facility a methodology for reading Rossi’s projects. The result is a constant typological interpretation of the term, not only related to the composition in plant but also through the elevation plans. The section is therefore intended as the overturning of such elevation is marked on the same plane of the terms used, there is a different approach, but a similarity of characters. The identification of architectural phonemes allows comparison with other arts. The research goes in the direction of language trying to identify the relationship between representation and construction, between the ephemeral and the real world. In this sense it will highlight the similarities between the graphic material produced by Ross and some important examples of contemporary author. The comparison between the composition system with the surrealist world of painting and literature will facilitate the understanding and identification of possible rules applied by Rossi. The second part of the research is characterized by a focus on the intent of the project chosen. Teatro Domestico embodies a number of elements that seem to conclude (assuming an end point but also to start) a curriculum author. With it, the experiments carried out on the theater started with the project for the Teatrino Scientifico (1978) through the project for the Teatro del Mondo (1979), into a Laic Tabernacle representative collective and private memory of the city. Starting from a reading of the draft, through the collection of published material, we’ve made an analysis on the explicit themes of the work, finding the conceptual references. Following the taking view of the original materials not published kept at Aldo Rossi's Archive Collection of the Canadian Center for Architecture in Montréal, will be implemented through the existing techniques for digital representation, a virtual reconstruction of the project, adding little to the material, a new element for future studies. The reconstruction is part of a larger research studies where the current technologies of composition and representation in architecture stand side by side with research on the method of composition of this architect. The results achieved are in addition to experiences in the past dealt with the reconstruction of some of the lost works of Aldo Rossi. A partial objective is to reactivate a discourse around this work is considered non-principal, among others born in the prolific activities. Reassessment of development projects which would bring the level of ephemeral works most frequented by giving them the value earned. In conclusion, the research aims to open a new field of interest on the part not only as a technical instrument of representation of an idea but as an actual mechanism through which composition is formed and the idea is developed.

Mathematical aspects of Feynman integrals

In the present dissertation we consider Feynman integrals in the framework of dimensional regularization. As all such integrals can be expressed in terms of scalar integrals, we focus on this latter kind of integrals in their Feynman parametric representation and study their mathematical properties, partially applying graph theory, algebraic geometry and number theory. The three main topics are the graph theoretic properties of the Symanzik polynomials, the termination of the sector decomposition algorithm of Binoth and Heinrich and the arithmetic nature of the Laurent coefficients of Feynman integrals.rnrnThe integrand of an arbitrary dimensionally regularised, scalar Feynman integral can be expressed in terms of the two well-known Symanzik polynomials. We give a detailed review on the graph theoretic properties of these polynomials. Due to the matrix-tree-theorem the first of these polynomials can be constructed from the determinant of a minor of the generic Laplacian matrix of a graph. By use of a generalization of this theorem, the all-minors-matrix-tree theorem, we derive a new relation which furthermore relates the second Symanzik polynomial to the Laplacian matrix of a graph.rnrnStarting from the Feynman parametric parameterization, the sector decomposition algorithm of Binoth and Heinrich serves for the numerical evaluation of the Laurent coefficients of an arbitrary Feynman integral in the Euclidean momentum region. This widely used algorithm contains an iterated step, consisting of an appropriate decomposition of the domain of integration and the deformation of the resulting pieces. This procedure leads to a disentanglement of the overlapping singularities of the integral. By giving a counter-example we exhibit the problem, that this iterative step of the algorithm does not terminate for every possible case. We solve this problem by presenting an appropriate extension of the algorithm, which is guaranteed to terminate. This is achieved by mapping the iterative step to an abstract combinatorial problem, known as Hironaka's polyhedra game. We present a publicly available implementation of the improved algorithm. Furthermore we explain the relationship of the sector decomposition method with the resolution of singularities of a variety, given by a sequence of blow-ups, in algebraic geometry.rnrnMotivated by the connection between Feynman integrals and topics of algebraic geometry we consider the set of periods as defined by Kontsevich and Zagier. This special set of numbers contains the set of multiple zeta values and certain values of polylogarithms, which in turn are known to be present in results for Laurent coefficients of certain dimensionally regularized Feynman integrals. By use of the extended sector decomposition algorithm we prove a theorem which implies, that the Laurent coefficients of an arbitrary Feynman integral are periods if the masses and kinematical invariants take values in the Euclidean momentum region. The statement is formulated for an even more general class of integrals, allowing for an arbitrary number of polynomials in the integrand.

Funktionelle Analyse der Gliazellwanderung im Drosophila-Embryo

Gliazellen kommen in allen höheren Organismen vor und sind sowohl für die korrekte Entwicklung, als auch für die Funktionalität des adulten Nervensystems unerlässlich. Eine der mannigfachen Funktionen dieses Zelltyps ist die Umhüllung von Axonen im zentralen und peripheren Nervensystem (ZNS und PNS). Um eine vollständige Umhüllung zu gewährleisten, wandern Gliazellen während der Neurogenese zum Teil über enorme Distanzen von ihrem Entstehungsort aus. Dies trifft insbesondere auf die Gliazellen zu, durch deren Membranausläufer die distalen Axonbereiche der peripheren Nerven isoliert werden.rnIn dieser Arbeit wurde die Migration von Gliazellen anhand des Modelorganismus Drosophila untersucht. Ein besonderes Interesse galt dabei der Wanderung einer distinkten Population von Gliazellen, den sogenannten embryonalen Peripheren Gliazellen (ePG). Die ePGs werden überwiegend im sich entwickelnden ventralen Bauchmark geboren und wandern anschließend entlang der peripheren Nerventrakte nach dorsal aus, um diese bis zum Ende der Embryogenese zu umhüllen und dadurch die gliale Blut-Nerv-Schranke zu etablieren. Das Hauptziel dieser Arbeit bestand darin, neue Faktoren bzw. Mechanismen aufzudecken, durch welche die Migration der ePGs reguliert wird. Dazu wurde zunächst der wildtypische Verlauf ihrer Wanderung detailliert analysiert. Es stellte sich heraus, dass in jedem abdominalen Hemisegment eine invariante Anzahl von 12 ePGs von distinkten neuralen Vorläuferzellen generiert wird, die individuelle Identitäten besitzen und mittels molekularer Marker auf Einzelzellebene identifiziert werden können. Basierend auf der charakteristischen Lage der Zellen erfolgte die Etablierung einer neuen, konsistenten Nomenklatur für sämtliche ePGs. Darüber hinaus offenbarten in vivo Migrationsanalysen, dass die Wanderung individueller ePGs stereotyp verläuft und demzufolge weitestgehend prädeterminiert ist. Die genaue Kenntnis der wildtypischen ePG Migration auf Einzelzellebene diente anschließend als Grundlage für detaillierte Mutantenanalysen. Anhand derer konnte für den ebenfalls als molekularen Marker verwendeten Transkriptionsfaktor Castor eine Funktion als zellspezifische Determinante für die korrekte Spezifizierung der ePG6 und ePG8 nachgewiesen werden, dessen Verlust in einem signifikanten Migrationsdefekt dieser beiden ePGs resultiert. Des Weiteren konnte mit Netrin (NetB) der erste diffusible und richtungsweisende Faktor für die Migration von ePGs enthüllt werden, der in Interaktion mit dem Rezeptor Uncoordinated5 speziell die Wanderung der ePG6 und ePG8 leitet. Die von den übrigen Gliazellen unabhängige Navigation der ePG6 und ePG8 belegt, dass zumindest die Migration von Gruppen der ePGs durch unterschiedliche Mechanismen kontrolliert wird, was durch die Resultate der durchgeführten Ablationsexperimente bestätigt wird. rnFerner konnte gezeigt werden, dass während der frühen Gliogenese eine zuvor unbekannte, von Neuroblasten bereitgestellte Netrinquelle an der initialen Wegfindung der Longitudinalen Gliazellen (eine Population Neuropil-assoziierter Gliazellen im ZNS) beteiligt ist. In diesem Kontext erfolgt die Signaldetektion bereits in deren Vorläuferzelle, dem Longitudinalen Glioblasten, zellautonom über den Rezeptor Frazzled. rnFür künftige Mutantenscreens zur Identifizierung weiterer an der Migration der ePGs beteiligter Faktoren stellt die in dieser Arbeit präsentierte detaillierte Beschreibung eine wichtige Grundlage dar. Speziell in Kombination mit den vorgestellten molekularen Markern liefert sie die Voraussetzung dafür, individuelle ePGs auch im mutanten Hintergrund zu erfassen, wodurch selbst subtile Phänotypen überhaupt erst detektiert und auf Einzelzellebene analysiert werden können. Aufgrund der aufgezeigten voneinander unabhängigen Wegfindung, erscheinen Mutantenanalysen ohne derartige Möglichkeiten wenig erfolgversprechend, da Mutationen vermutlich mehrheitlich die Migration einzelner oder weniger ePGs beeinträchtigen. Letzten Endes wird somit die Aussicht verbessert, weitere neuartige Migrationsfaktoren im Modellorganismus Drosophila zu entschlüsseln, die gegebenenfalls bis hin zu höheren Organismen konserviert sind und folglich zum Verständnis der Gliazellwanderung in Vertebraten beitragen.