title: Exceptional zeros of p-adic L-functions over non-abelian extensions

authors: Delbourgo, Daniel

abstract: Suppose E is an elliptic curve over , and p > 3 is a split multiplicative prime for E. Let q = p be an auxiliary prime, and fix an integer m coprime to pq. We prove the generalised Mazur–Tate–Teitelbaum conjecture for E at the prime p, over number fields K ⊂ μq∞ , q∞√m such that p remains inert in K ∩ (μq∞ ) +. The proof makes use of an improved p-adic L-function, which can be associated to the Rankin convolution of two Hilbert modular forms of unequal parallel weight.

text: Exceptional zeros of p-adic L-functions over non-abelian extensions Suppose E is an elliptic curve over , and p > 3 is a split multiplicative prime for E. Let q = p be an auxiliary prime, and fix an integer m coprime to pq. We prove the generalised Mazur–Tate–Teitelbaum conjecture for E at the prime p, over number fields K ⊂ μq∞ , q∞√m such that p remains inert in K ∩ (μq∞ ) +. The proof makes use of an improved p-adic L-function, which can be associated to the Rankin convolution of two Hilbert modular forms of unequal parallel weight.

year: 2014

title: Cyclical labour market adjustment in New Zealand: The response of firms to the global financial crisis and its implications for workers, Motu Working Paper 12-04

authors: Fabling, Richard

subjects: New Zealand

abstract: This paper examines the dynamics of employment adjustment in New Zealand, focusing on the response of firms to the 2008/09 Global Financial Crisis. We use data from Statistics New Zealand’s prototype Longitudinal Business Database (LBD) to examine firms’ employment responses to output shocks before and after the crisis, and to investigate variations in job and worker flows. We discuss the resilience of the NZ labour market to economic shocks, and the possible role of labour market policy settings. Finally, we discuss preliminary findings on the differential impact of labour market adjustment on workers – by earnings level, age, gender, and tenure – and outline potential further work along these lines. Our analysis of firm microdata highlights three key features of New Zealand labour market adjustment to the 2008/09 crisis. First, there was considerable heterogeneity across firms, both before and after the crisis, in the size of output shocks that firms faced, the amount of employment adjustment in response to any given output shock, and in the size of worker flows given the firm’s employment adjustment. Second, the crisis not only moved the distribution of output shocks faced by firms, but also altered the relationship between output shocks and changes in job and worker flows and employment. Third, the impact of the observed firm-level dynamics had an uneven impact on workers, with greater employment losses for low wage workers, young workers, and workers with low job tenure.

text: Cyclical labour market adjustment in New Zealand: The response of firms to the global financial crisis and its implications for workers, Motu Working Paper 12-04 This paper examines the dynamics of employment adjustment in New Zealand, focusing on the response of firms to the 2008/09 Global Financial Crisis. We use data from Statistics New Zealand’s prototype Longitudinal Business Database (LBD) to examine firms’ employment responses to output shocks before and after the crisis, and to investigate variations in job and worker flows. We discuss the resilience of the NZ labour market to economic shocks, and the possible role of labour market policy settings. Finally, we discuss preliminary findings on the differential impact of labour market adjustment on workers – by earnings level, age, gender, and tenure – and outline potential further work along these lines. Our analysis of firm microdata highlights three key features of New Zealand labour market adjustment to the 2008/09 crisis. First, there was considerable heterogeneity across firms, both before and after the crisis, in the size of output shocks that firms faced, the amount of employment adjustment in response to any given output shock, and in the size of worker flows given the firm’s employment adjustment. Second, the crisis not only moved the distribution of output shocks faced by firms, but also altered the relationship between output shocks and changes in job and worker flows and employment. Third, the impact of the observed firm-level dynamics had an uneven impact on workers, with greater employment losses for low wage workers, young workers, and workers with low job tenure.

year: 2012-04

title: "Takahi ngā takahanga o ngā tūpuna" - Tramp the pathways of our ancestors

authors: Williams, Taniwha

subjects: Māori health and wellbeing

abstract: The rise of reconnecting to holistic approaches to health to improve wellbeing outcomes for Māori has become increasingly prominent in recent years. Such developments have highlighted the need to introduce traditional Māori concepts, values and practices within whānau, hapū and iwi as vehicles for promoting and improving Māori health. This research had two objectives. Firstly, it aimed to explore the process of reclaiming mātauranga Māori (Māori knowledge systems) with my whānau who had limited access to te ao Māori (the Māori world). The second objective sought to explore the experiences of my whānau reconnecting with te reo me ōna tikanga (Māori language and culture). Using the Whiti Te Rā as a guide informed the design and structure of the wānanga (workshops). The Whiti Te Rā is a therapeutic model designed to improve health and wellbeing outcomes for Māori by developing and enhancing a cultural identity. Central to this model are six Māori customary practices and values that provide pathways to wellbeing and flourishing mauri. These dimensions also have synergies with other models of health – Te Whare Tapa Whā, Te Wheke. Four tāne (men) from my whānau took part in this research. We used the Pūrākau Method to record, explore, and analyse the narratives that emerged following each wānanga. The key findings from this research included connection to history, whakapapa and wairua; connection to pepeha and cultural practices; connection to self as a Māori; connection through whanaungatanga; and connection to taiao (the environment). This study showed that Māori models of health and wellbeing are consistent in demonstrating their effectiveness in connecting Māori to their language and culture. Despite the impact of colonisation, reconnection to customary practices and values was meaningful and valuable to my whānau. Future research is needed to revitalise, regenerate and reclaim a thriving Māori identity.

text: "Takahi ngā takahanga o ngā tūpuna" - Tramp the pathways of our ancestors The rise of reconnecting to holistic approaches to health to improve wellbeing outcomes for Māori has become increasingly prominent in recent years. Such developments have highlighted the need to introduce traditional Māori concepts, values and practices within whānau, hapū and iwi as vehicles for promoting and improving Māori health. This research had two objectives. Firstly, it aimed to explore the process of reclaiming mātauranga Māori (Māori knowledge systems) with my whānau who had limited access to te ao Māori (the Māori world). The second objective sought to explore the experiences of my whānau reconnecting with te reo me ōna tikanga (Māori language and culture). Using the Whiti Te Rā as a guide informed the design and structure of the wānanga (workshops). The Whiti Te Rā is a therapeutic model designed to improve health and wellbeing outcomes for Māori by developing and enhancing a cultural identity. Central to this model are six Māori customary practices and values that provide pathways to wellbeing and flourishing mauri. These dimensions also have synergies with other models of health – Te Whare Tapa Whā, Te Wheke. Four tāne (men) from my whānau took part in this research. We used the Pūrākau Method to record, explore, and analyse the narratives that emerged following each wānanga. The key findings from this research included connection to history, whakapapa and wairua; connection to pepeha and cultural practices; connection to self as a Māori; connection through whanaungatanga; and connection to taiao (the environment). This study showed that Māori models of health and wellbeing are consistent in demonstrating their effectiveness in connecting Māori to their language and culture. Despite the impact of colonisation, reconnection to customary practices and values was meaningful and valuable to my whānau. Future research is needed to revitalise, regenerate and reclaim a thriving Māori identity.

year: 2024