Horizontal factorizations of certain Hasse--Weil zeta functions - a remark on a paper by Taniyama

In one of his papers, using arguments about l-adic representations, Taniyama expresses the zeta function of an abelian variety over a number field as an infinite product of modified Artin L-functions. The latter can be further decomposed as products of modified Dedekind zeta functions. After recalling Taniyama's work, we give a simple geometric proof of the resulting product formula for abelian and more general group schemes

On moduli of vector bundles on p-adic curves and attached representations

In der vorliegenden Arbeit wird das von Deninger/Werner entwickelte p-adische Analogon der klassischen Narasimhan-Seshadri Theorie hinsichtlich der Formulierbarkeit in den Termen der Moduli von Vektorbündeln und entsprechenden Darstellungen untersucht. Sei X eine glatte, projektive und zusammenhängende Kurve über QpBar. Einem Vektorbündel E mit stark semistabiler Reduktion auf X_Cp ordnet das étale Paralleltransport unter anderem eine stetige endlich-dimensionale Darstellung der étalen Fundamentalgruppe von X zu. Andererseits ist jedes Vektorbündel mit stark semistabiler Reduktion ebenfalls semistabil, induziert also einen Cp-wertigen Punkt in dem Modulraum M_X, der semistabile Vektorbündel von entsprechendem Rang und Grad parametrisiert. Es wird gezeigt, dass die Klasse der Vektorbündel auf X_Cp (von festem Rang und Grad), die stark semistabile Reduktion über ZpBar haben, im p-adischen Sinne eine offene Teilmenge in M_X(QpBar) induziert. Desweiteren beschreiben wir die obige Zuordnung der Darstellungen in den Termen der Moduli von Vektorbündeln sowie zugeordneten Darstellungen. Wir zeigen, dass diese unter einer technischen Voraussetzung stetig ist

Vorträge zum 4. Darmstädter Geotechnik-Kolloquium am 13. März 1997

Mit dem Mitteilungsheft Nr. 37 publizieren das Institut und die Versuchsanstalt für Geotechnik der Technischen Hochschule Darmstadt die Beiträge zum 4. Darmstädter Geo- technik-Kolloquium mit den folgenden Themenschwerpunkten: - Internationale Projekte/Projekterfahrungen - Möglichkeiten und Grenzen der Kombinierten Pfahl-Plattengründung (KPP) - Rechtsfragen in der Geotechni

Value of Eye-Tracking Data for Classification of Information Processing–Intensive Handling Tasks: Quasi-Experimental Study on Cognition and User Interface Design

Background: In order to give a wide range of people the opportunity to ensure and support home care, one approach is to develop medical devices that are as user-friendly as possible. This allows nonexperts to use medical devices that were originally too complicated to use. For a user-centric development of such medical devices, it is essential to understand which user interface design best supports patients, caregivers, and health care professionals. Objective: Using the benefits of mobile eye tracking, this work aims to gain a deeper understanding of the challenges of user cognition. As a consequence, its goal is to identify the obstacles to the usability of the features of two different designs of a single medical device user interface. The medical device is a patient assistance device for home use in peritoneal dialysis therapy. Methods: A total of 16 participants, with a subset of seniors (8/16, mean age 73.7 years) and young adults (8/16, mean age 25.0 years), were recruited and participated in this study. The handling cycle consisted of seven main tasks. Data analysis started with the analysis of task effectiveness for searching for error-related tasks. Subsequently, the in-depth gaze data analysis focused on these identified critical tasks. In order to understand the challenges of user cognition in critical tasks, gaze data were analyzed with respect to individual user interface features of the medical device system. Therefore, it focused on the two dimensions of dwell time and fixation duration of the gaze. Results: In total, 97% of the handling steps for design 1 and 96% for design 2 were performed correctly, with the main challenges being task 1 insert, task 2 connect, and task 6 disconnect for both designs. In order to understand the two analyzed dimensions of the physiological measurements simultaneously, the authors propose a new graphical representation. It distinguishes four different patterns to compare the eye movements associated with the two designs. The patterns identified for the critical tasks are consistent with the results of the task performance. Conclusions: This study showed that mobile eye tracking provides insights into information processing in intensive handling tasks related to individual user interface features. The evaluation of each feature of the user interface promises an optimal design by combining the best found features. In this way, manufacturers are able to develop products that can be used by untrained people without prior knowledge. This would allow home care to be provided not only by highly qualified nurses and caregivers, but also by patients themselves, partners, children, or neighbors

Cryogel scaffolds for regionally constrained delivery of lysophosphatidylcholine to central nervous system slice cultures: a model of focal demyelination for multiple sclerosis research

The pathology of multiple sclerosis (MS) is typified by focal demyelinated areas of the brain and spinal cord, which results in axonal degeneration and atrophy. Although the field has made much progress in developing immunomodulatory therapies to reduce the occurrence of these focal lesions, there is a conspicuous lack of licensed effective therapies to reduce axonal degeneration or promote repair. Remyelination, carried out by oligodendrocytes, does occur in MS, and is protective against axonal degeneration. Unfortunately, remyelination is not very efficient, and ultimately fails and so there is a research focus to generate new therapeutics to enhance remyelination leading to neuroprotection. To develop these therapies, we need preclinical models that well reflect remyelination in MS. We have previously characterized an ex vivo model that uses lysophosphatidylcholine (LPC) to cause acute and global demyelination of tissue slices, followed by spontaneous remyelination, which has been widely used as a surrogate for in vivo rodent models of demyelination. However, this ex vivo model lacks the focal demyelinated lesions seen in MS, surrounded by normal tissue from which the repairing oligodendrocytes are derived. Therefore, to improve the model, we have developed and characterized small macroporous cryogel scaffolds for controlled/regional delivery of LPC with diameters of either 0.5, 1 or 2 mm. Placement of LPC loaded scaffolds adjacent to ex vivo cultured mouse brain and spinal cord slices induced focal areas of demyelination in proximity to the scaffold. To the best of our knowledge, this is the first such report of spatial mimicry of the in vivo condition in ex vivo tissue culture. This will allow not only the investigation into focal lesions, but also provides a better platform technology with which to test remyelination-promoting therapeutics