On the pp-adic Langlands correspondence for algebraic tori

We extend the results by R.P. Langlands on representations of (connected) abelian algebraic groups. This is done by considering characters into any divisible abelian topological group. With this we can then prove what is known as the abelian case of the $p$-adic Langlands program.Comment: This was part of the authors Masters thesis and therefore has a somewhat expository nature. 22 pages. To appear in J. Th. Nombres Bordeau

Slopes of overconvergent Hilbert modular forms

We give an explicit description of the matrix associated to the $U_p$ operator acting on spaces of overconvergent Hilbert modular forms over totally real fields. Using this, we compute slopes for weights in the centre and near the boundary of weight space for certain real quadratic fields. \added[id=h]{Near the boundary of weight space we see that the slopes do not appear to be given by finite unions of arithmetic progressions but instead can be produced by a simple recipe from which we make a conjecture on the structure of slopes. We also prove a lower bound on the Newton polygon of the $U_p$.Comment: 22 pages, 7 figure, 7 tables. Final version, to appear in Experiment. Math. arXiv admin note: text overlap with arXiv:1610.0971

Overconvergent Hilbert modular forms via perfectoid modular varieties

We give a new construction of $p$-adic overconvergent Hilbert modular forms by using Scholze's perfectoid Shimura varieties at infinite level and the Hodge--Tate period map. The definition is analytic, closely resembling that of complex Hilbert modular forms as holomorphic functions satisfying a transformation property under congruence subgroups. As a special case, we first revisit the case of elliptic modular forms, extending recent work of Chojecki, Hansen and Johansson. We then construct sheaves of geometric Hilbert modular forms, as well as subsheaves of integral modular forms, and vary our definitions in $p$-adic families. We show that the resulting spaces are isomorphic as Hecke modules to earlier constructions of Andreatta, Iovita and Pilloni. Finally, we give a new direct construction of sheaves of arithmetic Hilbert modular forms, and compare this to the construction via descent from the geometric case.Comment: Version 3. Minor improvements to abstract and introductio

2-adic slopes of Hilbert modular forms over Q(5)

We show that for arithmetic weights with a fixed finite-order character, the slopes of (Formula presented.) for (Formula presented.) (which is inert) acting on overconvergent Hilbert modular forms of level (Formula presented.) are independent of the (algebraic part of the) weight and can be obtained by a simple recipe from the classical slopes in parallel weight 3

Moral work in victim–offender meetings

Although many studies of restorative justice touch on its moral dimensions, they provide a rather fragmentary view of the moral work that takes place in meetings between victims and offenders. We treat moral work as a discursive phenomenon that emerges through the evaluative rendering of character and behaviour in extended sequences of talk. Using transcripts from four victim–offender meetings, we explore how participants work within the structural constraints of the script to develop or resist particular moral conceptions of the incident, themselves and each other. We identify the significant role of the facilitator in the construction of narratives and reflections by the offender and victim, and find that ambivalence, selective attention and persuasion all appear to be necessary for achieving the moral work implied by the script

La Teoría de la Acción Situacional. Una prueba del proceso de percepción-elección mediante la encuesta factorial en Venezuela

Con base en la Teoría de la Acción Situacional se evalúa empíricamente si la respuesta violenta que surge de un conflicto interpersonal es el resultado del efecto interactivo entre la propensión individual al delito y la exposición a un escenario criminógeno. La muestra estuvo conformada por 529 jóvenes de 14 a 18 años de edad, matriculados en 11 planteles educativos de Mérida, Venezuela. Como recurso para los análisis estadísticos se emplearon modelos de regresión logística binaria y gráficos de barra 3-D. Los resultados indican que la elección de una (hipotética) respuesta violenta medida con viñetas factoriales fue predicha por la propensión individual al delito y las características criminógenas del escenario. Sin embargo, no se confirmaron por completo los efectos interactivos de estos factores en la probabilidad de intención de agresión de la manera como se predice en la teoría. Además, se observa tanto en la TAS como en la investigación empírica que se le vincula, la ausencia de criterios debidamente establecidos sobre qué tipos de observaciones empíricas son necesarias para apoyar o rechazar sus principales hipótesis.This study tests part of Situational Action Theory (SAT) by assessing whether violent responses to personal conflict arise from the interaction between individual crime propensity and exposure to a criminogenic setting. The sample comprised 529 students aged 14 to 18, enrolled at eleven schools in Mérida, Venezuela. Statistical analysis employed binary logistic regression models and three-dimensional bar charts. The results show that individual crime propensity and the level of criminogeneity in a hypothetical scenario predict the choice of an intended violent response. However, the interaction between propensity and criminogeneity was not exactly as predicted by the theory. Additionally, both general discussions of SAT and prior research using scenarios have not adequately specified how empirical results can be interpreted as either supporting or disconfirming the theory

Overconvergent Hilbert modular forms via perfectoid modular varieties

We give a new construction of -adic overconvergent Hilbert modular forms by using Scholze’s perfectoid Shimura varieties at infinite level and the Hodge–Tate period map. The definition is analytic, closely resembling that of complex Hilbert modular forms as holomorphic functions satisfying a transformation property under congruence subgroups. As a special case, we first revisit the case of elliptic modular forms, extending recent work of Chojecki, Hansen and Johansson. We then construct sheaves of geometric Hilbert modular forms, as well as subsheaves of integral modular forms, and vary our definitions in -adic families. We show that the resulting spaces are isomorphic as Hecke modules to earlier constructions of Andreatta, Iovita and Pilloni. Finally, we give a new direct construction of sheaves of arithmetic Hilbert modular forms, and compare this to the construction via descent from the geometric case

La Coexistencia de La Victimización y la Conducta Problemática en la Vida Juvenil: Una Revisión Sistemática (Scoping Review)’. (Children as Victims and Offenders: A Scoping Review.)

Typically, Criminology and Victimology focus on the personeither as an offender or as a victim, yet there may be manyindividuals who have experiences of each within a relativelyshort period of time. We present the results of a scoping reviewof empirical studies which study the co-occurrence of victimizationand offending. Fifty-nine articles were identified and we provide acritical summary of their methods and main findings