E-polynomials of the SL(2, C)-character varieties of surface groups

We compute the E-polynomials of the moduli spaces of representations of the fundamental group of a once-punctured surface of any genus into SL(2, C), for any possible holonomy around the puncture. We follow the geometric technique introduced in [12], based on stratifying the space of representations, and on the analysis of the behavior of the E-polynomial under fibrations.

An analysis of authorship attribution: Identifying linguistic variables in oral and written discourse

This dissertation goes into the new field from applied linguistics called forensic linguistics, which studies the language as an evidence for criminal cases. There are many subfields within forensic linguistics, however, this study belongs to authorship attribution analysis, where the authorship of a text is attributed to an author through an exhaustive linguistic analysis. Within this field, this study analyzes the morphosyntactic and discursive-pragmatic variables that remain constant in the intra-variation or personal style of a speaker in the oral and written discourse, and at the same time have a high difference rate in the interspeaker variation, or from one speaker to another. The theoretical base of this study is the term used by professor Maria Teresa Turell called “idiolectal style”. This term establishes that the idiosyncratic choices that the speaker makes from the language build a style for each speaker that is constant in the intravariation of the speaker’s discourse. This study comes as a consequence of the problem appeared in authorship attribution analysis, where the absence of some known texts impedes the analysis for the attribution of the authorship of an uknown text. Thus, through a methodology based on qualitative analysis, where the variables are studied exhaustively, and on quantitative analysis, where the findings from qualitative analysis are statistically studied, some conclusions on the evidence of such variables in both oral and written discourses will be drawn. The results of this analysis will lead to further implications on deeper analyses where larger amount of data can be used.

E-polynomial of SL(2,C)-character varieties of complex curves of genus 3.

We compute the E-polynomials of the moduli spaces of representations of the fundamental group of a complex curve of genus g = 3 into SL(2, C), and also of the moduli space of twisted representations. The case of genus g = 1, 2 has already been done in [12]. We follow the geometric technique introduced in [12], based on stratifying the space of representations, and on the analysis of the behaviour of the E-polynomial under fibrations.

Regionalismos léxicos y paremiológicos en la narrativa de Jorge Amado: aspectos sociolingüístico y antropológico

The work of Jorge Amado collects and processes relevant aspects of Brazilian miscegenation and allows discussion on various issues relating to the cultural productions of the country. If on the one hand the racial mixture can be seen as the result of an harmonious process, as is traditional Brazilian thought that comes from XVIII century, on the other hand it portrays the customs of Bahian society at different times, mixing the humorous tone to the optimistic view of the world. As for the miscegenation, reality of the Bahian people, as of all Brazil, can also be analyzed in their heterogeneity, for whom observes that, in the end, the crossing of economic, social and cultural boundaries have been, in many cases, quite problematic. The aim of this work is to make a journey into reality, past and present in Brazil, to understand the lexical regionalisms present in each work; it is important to understand the history of slavery, indigenous groups and the relation that the white man had with this world. All that enormous database of spoken language (a true linguistic laboratory) served and is serving to describe the Portuguese in Brazil in its regional, ethnic and social varieties. (Bagno, 2011: 104-105) I analyze here two works by Jorge Amado, Gabriela, Clove and Cinnamon: Chronicle of an Inner City and Tieta of Agreste, which constitute the corpus of this work, which will consist in detecting an extensive glossary and the collection thereof as well as paremiological regionalisms; phrases or expressions corresponding to a region and time of Brazil...