Cluster algebras, quiver representations and triangulated categories

This is an introduction to some aspects of Fomin-Zelevinsky’s cluster algebras and their links with the representation theory of quivers and with Calabi-Yau triangulated categories. It is based on lectures given by the author at summer schools held in 2006 (Bavaria)and 2008 (Jerusalem). In addition to by now classical material, we present the outline of a proof of the periodicity conjecture for pairs of Dynkin diagrams (details will appear elsewhere) and recent results on the interpretation of mutations as derived equivalences.

Impact of a Cleft Lip and/or Palate on Maternal Stress and Attachment Representations.

Objective : The announcement, prenatally or at birth, of a cleft lip and/or palate represents a challenge for the parents. The purpose of this study is to identify parental working internal models of the child (parental representations of the child and relationship in the context of attachment theory) and posttraumatic stress disorder symptoms in mothers of infants born with a cleft. Method : The study compares mothers with a child born with a cleft (n  =  22) and mothers with a healthy infant (n  =  36). Results : The study shows that mothers of infants with a cleft more often experience insecure parental working internal models of the child and more posttraumatic stress symptoms than mothers of the control group. It is interesting that the severity or complexity of the cleft is not related to parental representations and posttraumatic stress disorder symptoms. The maternal emotional involvement, as expressed in maternal attachment representations, is higher in mothers of children with a cleft who had especially high posttraumatic stress disorder symptoms, as compared with mothers of children with a cleft having fewer posttraumatic stress disorder symptoms. Discussion : Mothers of children with a cleft may benefit from supportive therapy regarding parent-child attachment, even when they express low posttraumatic stress disorder symptoms.

Donor's and organ representations in liver, kidney, heart and lung transplantation : a qualitative longitudinal study

Purpose: Organ transplantation is a biological and psychological challenge and graft acceptance is an important achievement for patients. Patients' concerns toward the deceased donor and the organ may contribute to this process. Method: Forty-seven patients involved in heart (N=9), liver (N=8), lung (N=14) and kidney (N=16) transplantation participated in IRB-approved longitudinal semi-structured interviews: (T1) registered on the waiting-list, (T2) six months and (T3) twelve months after transplantation. Qualitative pattern analysis (QUAPA) was carried out on the verbatim transcripts and concerns about the donor and the organ were then analysed. Results: - Donor's representation: At T1, patients were reluctant to talk about the donor: 27% expressed culpability and 19% accepted the clause of anonymity. At T2, intense emotions were associated with the reminiscing about the donor and 45% highlighted the generosity of his/her act. In addition, heart, lung and kidney recipients were concerned about the donor's identity: 42% challenged the clause of anonymity. Liver recipients complained about anonymity, but could nevertheless cope with it. At T3, 47% of heart, lung and kidney recipients thought daily of the donor and 33% were still looking for information about him/her. Liver recipients rarely have thoughts about the donor. - Organ representation: At T1, organ descriptions were biomedical (49% of the interviewees) and more rarely, mainly heart candidates, referred to the symbolic meaning of the organ. After transplantation (T2-T3), function was underlined. Acceptance and organ integration were associated with post-operative outcomes (23%) and psychological well-being (45%). Some patients (32%) inferred the donor's personality from the organ quality and felt privileged having received an organ in such a good state. Conclusion: Donor's representations should be explored during the transplantation process as they play an important role in the psychological acceptance of the graft.

Values, Multiculturalism and Representations

The theory of values is underdeveloped within economics with very few theoretical models explaining how values are created and propagated through a population. Those models that do exist are limited in how well they explain the role of values and how they behave. This paper argues that the theory of values needs to be fundamentally rethought, incorporating basic ideas from psychology, anthropology and philosophy that have largely been ignored in the literature. The resulting model is applied to answer some fundamental issues surrounding the notion of multiculturalism.

Representations and the Corruption of Goods

The traditional view of the economic agent is of an individual who is self-interested, rational and perceives the world “correctly”. However, there is a lot of experimental and other evidence that undermines this view of agents. It is argued that an attempt to model these agents properly requires the cognitive science idea of a mental representation- a mental state with content. It is shown that this idea gives economists resources to discuss critiques of economics by Sandel (2012) and Grant (2012). In particular, it allows us to think clearly about the notion of goods being “corrupted” by a change in context from a non-market to a market situation.

An irreducibility criterion for group representations, with arithmetic applications

We prove a criterion for the irreducibility of an integral group representation p over the fraction field of a noetherian domain R in terms of suitably defined reductions of p at prime ideals of R. As applications, we give irreducibility results for universal deformations of residual representations, with a special attention to universal deformations of residual Galois representations associated with modular forms of weight at least 2.

Gender, family and employment in comparative perspective: the realities and representations of rqual rpportunities in Britain and France

In this paper, we will explore how contrasting national discourses relating to women, and gender equality have been incorporated into and reflected in national policies. In the first section, we will outline the recent history of EU equal opportunities policy, in which positive action has been replaced by a policy of 'mainstreaming'. Second, we will describe the evolution of policies towards women and equal opportunities in Britain and France. It will be argued that whereas some degree of positive action for women has been accepted in Britain, this policy is somewhat alien to French thinking about equality - although pro-natalist French policies have resulted in favourable conditions for employed mothers in France. In the third section, we will present some attitudinal evidence, drawn from national surveys, which would appear to reflect the national policy differences we have identified in respect of the 'equality agenda'. In the fourth section, we will draw upon biographical interviews carried out with men and women in British and French banks in order to illustrate the impact of these cross-national differences within organizations and on individual lives. We demonstrate that positive action gender equality policies have made an important impact in British banks, while overt gender exclusionary practices still persist in the French banks studied. In the conclusion, we reflect on the European policy implications of our findings.

Inhabitants' and professionals' social representations of health determinants in a disadvantaged urban area in France: a qualitative analysis = représentations sociales des déterminants de santé dans une zone urbaine défavorisée en France : analyse qualitative auprès d'habitants et de professionnels

Background and objective. - Access to care in French disadvantaged urban areas remains an issue despite the implementation of local healthcare structures. To understand this contradiction, we investigated social representations held by inhabitants of such areas, as well as those of social and healthcare professionals, regarding events or behaviours that can impact low-income individuals' health. Method. - In the context of a health diagnosis, 288 inhabitants living in five disadvantaged districts of Aix-les-Bains, as well as 28 professionals working in these districts, completed an open-ended questionnaire. The two groups of respondents were asked to describe what could have an impact on health status from the inhabitants' point of view. The textual responses were analyzed using the Alceste method. Results. - We observed a number of differences in the way the inhabitants and professionals represented determinants of health in disadvantaged urban areas: the former proposed a representation mixing personal responsibility with physiological, social, familial, and professional aspects, whereas the latter associated health issues with marginalization (financial, drug, or alcohol problems) and personal responsibility. Both inhabitants and professionals mentioned control over events and lifestyle as determinants of health. Discussion. - The results are discussed regarding the consequences of these different representations on the beneficiary - healthcare-provider relationship in terms of communication and trust.

Adult attachment representations predict cortisol and oxytocin responses to stress.

There are many factors contributing to individual variations in the response to stressful experiences. The present study evaluated the patterns of stress responses according to attachment representations in 28 adults from a community sample, plus 46 subjects expected to be particularly sensitive to stress, having been exposed during childhood and/or adolescence to traumatizing events such as abuse or potentially lethal illnesses. Subjects were given the Adult Attachment Interview, which provides attachment classifications, and the Trier Social Stress Test (TSST), involving an experimental psychosocial challenge. Subjective responses to the TSST, as well as saliva samples (assayed for cortisol) and blood plasma samples (assayed for ACTH and oxytocin) were collected before, during and after the stress procedure. The stress responses presented specific patterns according to attachment classifications. Subjects with an autonomous attachment classification reported relatively low subjective stress, they presented a moderate response of the hypothalamic-pituitary-adrenal (HPA) axis (ACTH and cortisol), and a high level of oxytocin. Subjects with a dismissing classification reported a moderate subjective stress, they presented an elevated response of the HPA axis, and moderate levels of oxytocin. Subjects with a preoccupied classification presented moderate levels of subjective stress, and of HPA response, and a relatively low level of oxytocin. Finally, subjects with an unresolved classification reported elevated subjective stress; they presented a suppressed HPA response, and moderate levels of oxytocin. These data support the notion that attachment representations may affect stress responses, and suggest a specific role of oxytocin in both the attachment system and the stress system.

Intergenerational representations of schistosomiasis in endemic area, Jaboticatubas, Minas Gerais

The analysis of the intergenerational process of disease/health representations constitutes a requisite for the construction of projects and health education interventions. The objective of this work is to describe the meaning attributed to schistosomiasis in the family context. Twenty-one residents of an endemic area were interviewed. The interviews were submitted to content analysis. The results demonstrated different representations of the disease by the children, parents and grandparents. This paper discusses the differences in these representations and its impact in schistosomiasis control programs.