Archaeomagnetic characterization and possible dating based on archaeointensity values, of prehispanic ceramics from the Nueva Esperanza archaeological site - TCE Sector (Sabana de Bogotá, Colombia)

Introduction: The development of archaeometrical research has been characterized by interdisciplinary fields. Thus, different approaches and new subfields of knowledge and applications are created. In the case of geophysics, with particular interest in the geomagnetic field (hereafter GMF), the study of the past magnetic field of the Earth and its evolution, called Palaeomagnetism, gave important information on its history through geological periods. Researchers found out that the principles and methods used in Palaeomagnetism can be applied on archaeological materials, especially those made from baked clay. These methods help to understand better the GMF in recent times, that is around the last 9000 years, with the appearance of artifacts made from baked clay. The geomagnetic information obtained can help to date the last moment when the artifact was heated and cooled. Hence, the studies of archaeomagnetism evolved in the common ground of different disciplines (for an overview see Brown et al.,2021). In the last two decades, a considerable amount of archaeomagnetic studies have been published worldwide, but the majority come from Europe, and in general, the North Hemisphere (Hervé, et al., 2019; Brown et al.,2021). This is a serious disadvantage since it is very important to have a homogeneous distribution of the data if a researcher wants to build reliable models of the geomagnetic field and apply them for archaeological purposes. Even so, in the resent years there has been progress in acquiring data from places all over the world, like Middle East (Gallet, et al., 2015; Shaar, et al., 2016; Ben-Yosef et al., 2017), Africa (Di Chiara, 2020), China (Cai, et al., 2020), South East Asia (Cai, et al., 2021), New Zealand (Turner, et al., 2020), Mesoamerica (Mahgoub, et al, 2019b; García, et al., 2021), South America (Goguitchaichvili, et al., 2019) and the Caribbean (Cejudo, et al., 2019). For the Colombian case, to date, four investigations have been published on archaeomagnetism, specifically on intensity (Berkovich, et al., 2017; Cejudo, et al., 2019; Obregón, et al., 2019; Rojas, et al., 2020). Due to the situation described, these publications take important first steps to understand the characteristics of archaeomagnetic data obtained in northern South America, their relationship with surrounding regions of the continent, the magnetic attributes of the archaeological artifacts, and to establish the interest in the future development of a secular variation curve for the country

A Liouville type result for fractional Schrödinger operators in 1D

The aim of this master's thesis is to obtain an alternative and original proof of a Liouville type result for fractional Schrödinger operators in 1D without using a local extension problem, in the spirit of the recent work of Hamel et al. Thanks to this new proof we can extend the Liouville theorem to other nonlocal operators that do not have a local extension problem, being the first time that a result of this kind is proven. First, we introduce Schrödinger operators, the fractional Laplacian and its local extension problem. Then, we present a recent work about a nonlocal and nonlinear problem, where the prior study of fractional Schrödinger operators is needed. We also present the most important motivation for the study of Liouville type results: the conjecture of De Giorgi, and we review some Liouville type results both with local and nonlocal operators. Finally, we give the proof of the main theorems of the thesis

Las esferas de reconocimiento en la teoría de Axel Honneth

The purpose of this paper is to explain the concept of sphere in Axel Honneth’s theory of recognition and to analyze some of the problems that emerge when these spheres are treated as separated. What it is aimed to be proved is the existence, in an implicit way, of the supremacy of the “sphere of right” over the “sphere of love” and the “sphere of solidarity” in the author’s theory. This,because the sphere of right provides a universal criterion used not only in that area but in all of them. With the help of Habermas’ work on right, the necessary relationship between the spheres of recognition will be discussed in Honneth’s theory. For the line of argument, hypothetical case examples will be used.El presente trabajo describe la noción de esfera en la teoría del reconocimiento de Axel Honneth y analiza algunos problemas que surgen al tratar éstas como esferas diferenciadas. El argumento que se intenta demostrar es que existe, de forma implícita, una primacía de la “esfera del derecho” por sobre la “esfera del amor” y la “esfera de la solidaridad” en la teoría de Honneth. Lo anterior, debido a que la esfera del derecho provee un criterio de carácter universal utilizable no sólo en dicha esfera sino en todas ellas. Con la ayuda de los trabajos de Habermas sobre el derecho, se argumentará la necesaria relación entre las esferas de reconocimiento en la teoría del autor. Como estrategia de argumentación, y con la finalidad de contrastar nuestros planteamientos, se utilizarán ejemplos de casos hipotéticos