On the equivalence of 3-adic Galois representations

Throughout this thesis, we develop theory and the algorithms that lead to an effective method to study the equivalence of two-dimensional 3-adic Galois representations attached to number fields. In order to reach our goal we need three steps: recognising the determinant characters, determining the residual or mod3 representations, and finally proving that the representations agree modulo 3k for any positive integer k. We are able to achieve this using only a finite amount of information coming from the representations. We start with a method that allows us to recognise any one-dimensional Galois representation of any number field K that is unramified outside a given finite set S of primes of K. Afterwards, we extend the methods developed by Argaez- Garcia and Cremona to determine 2-dimensional black box Galois representations of K, unramified outside a given finite set S, whose image lies in GL2(F3). If such representations are irreducible, we can also prove if they are equivalent over GL2(F3). Moreover, due to recent results in modularity lifting, these two methods have an impact on solving modularity problems. Furthermore, starting from two 2-dimensional 3-adic Galois representations of K unramified outside the same S, which we proved by the previous results to have the same determinant character and equivalent residual representations, we are able to prove whether they are equivalent over GL2(Z3) by checking their traces at finitely many places. Finally, since we are able to achieve each step by just computing characteristic polynomials of Frobenius elements of GK, the absolute Galois group of K, at a suitable and computable finite set of primes of K, all our theoretical result are actually effective. That is, we can, and we did, implement them as algorithms that return a precise answer in a finite (and reasonable) amount of time. An application of the algorithms developed is to prove modularity of elliptic curves. We address this studying Galois representations attached to Bianchi modular forms and elliptic curves defined over imaginary quadratic fields of class number one

Officina Ecclesiensis. Dal sodalizio tra Diocesi di Iglesias e Università di Cagliari un nuovo Laboratorio per i Beni Culturali a servizio delle comunità locali.

Breve nota di presentazione della prima attività pubblica di Officina Ecclesiensis, il Laboratorio per i Beni Culturali nella Diocesi di Iglesias, che vede coinvolto il Dipartimento di Storia, Beni Culturali e Territorio dell’Università di Cagliari e l’Ufficio Beni Culturali della Diocesi ecclesiense-sulcitana.  [ultima revisione Gennaio 2018

Officina Ecclesiensis. Dal sodalizio tra Diocesi di Iglesias e Università di Cagliari un nuovo Laboratorio per i Beni Culturali a servizio delle comunità locali

Breve nota di presentazione della prima attività pubblica di Officina Ecclesiensis, il Laboratorio per i Beni Culturali nella Diocesi di Iglesias, che vede coinvolto il Dipartimento di Storia, Beni Culturali e Territorio dell’Università di Cagliari e l’Ufficio Beni Culturali della Diocesi ecclesiense-sulcitana

La processione di San Nicolò di Enesta e la stratigrafia di uno storico cammino iglesiente

Il presente contributo propone i risultati parziali di uno studio condotto sulla viabilità dell’Iglesiente montano preindustriale, dal quale emerge l’evidenza di diverse direttrici di penetrazione nel distretto, sviluppatesi di pari passo con l’evoluzione dell’insediamento nel settore, dall’età romana fino alla contemporaneità. Tra questi percorsi, assume particolare interesse quello che dalla città di Iglesias conduceva fino alla chiesetta rurale dedicata a san Nicolò presso Enesta, villa abbandonata in età moderna (ma sorta in corrispondenza di un insediamento rimontante all’età romana imperiale) che risulta interessata da un cammino processionale dedicato al santo che resterà in vita per circa due secoli. [ultima revisione Gennaio 2018

La processione di San Nicolò di Enesta e la stratigrafia di uno storico cammino iglesiente

Il presente contributo propone i risultati parziali di uno studio condotto sulla viabilità dell’Iglesiente montano preindustriale, dal quale emerge l’evidenza di diverse direttrici di penetrazione nel distretto, sviluppatesi di pari passo con l’evoluzione dell’insediamento nel settore, dall’età romana fino alla contemporaneità. Tra questi percorsi, assume particolare interesse quello che dalla città di Iglesias conduceva fino alla chiesetta rurale dedicata a san Nicolò presso Enesta, villa abbandonata in età moderna (ma sorta in corrispondenza di un insediamento rimontante all’età romana imperiale) che risulta interessata da un cammino processionale dedicato al santo che resterà in vita per circa due secoli

Interrelationship between evaluation metrics to assess agro-ecological models

When evaluating the performances of simulation models, the perception of the quality of the outputs may depend on the statistics used to compare simulated and observed data. In order to have a comprehensive understanding of model performance, the use of a variety of metrics is generally advocated. However, since they may be correlated, the use of two or more metrics may convey the same information, leading to redundancy. This study intends to investigate the interrelationship between evaluation metrics, with the aim of identifying the most useful set of indicators, for assessing simulation performance. Our focus is on agro-ecological modelling. Twenty-three performance indicators were selected to compare simulated and observed data of four agronomic and meteorological variables: above-ground biomass, leaf area index, hourly air relative humidity and daily solar radiation . Indicators were calculated on large data sets, collected to effectively apply correlation analysis techniques. For each variable, the interrelationship between each pair of indicators was evaluated, by computing the Spearman’s rank correlation coefficient. A definition of “stable correlation” was proposed, based on the test of heterogeneity, allowing to assess whether two or more correlation coefficients are equal. An optimal subset of indicators was identified, striking a balance between number of indicators, amount of provided information and information redundancy. They are: Index of Agreement, Squared Bias, Root Mean Squared Relative Error, Pattern Index, Persistence Model Efficiency and Spearman’s Correlation Coefficient. The present study was carried out in the context of CropM-LiveM cross-cutting activities of MACSUR knowledge hub

Biocontrol of Fusarium crown and root rot of tomato and growth-promoting effect of bacteria isolated from recycled substrates of soilless crops

Fusarium crown and root rot (FCRR) of tomato caused by Fusarium oxysporum f. sp. radicis-lycopersici is a serious problem in agriculture today. Biological control of this disease may be an effective option to deal with this problem. Antagonistic bacteria isolated from suppressive substrates or soils were tested against FCRR in the glasshouse in a sandy soil mixture infested with the pathogen and compared with other experimental or commercial FCRR biocontrol agents. The antagonistic bacteria were applied twice before artificial infection with the pathogen. Pseudomonas sp. strain FC-24B and P. putida FC-8B provided the best and most effective suppression in all trials, reducing vascular discoloration significantly from 65 to 77% and from 52 to 100% respectively. These strains also reduced root rot by 66% and 70% respectively. Pseudomonas sp. FC-24B also substantially increased plant growth, when the pathogen was absent. Pseudomonas sp. FC-9B, Achromobacter xylosoxydans MM1, Streptomyces griseoviridis strain K61 and the commercial formulation Trichoderma harzianum ICC012 + T. viride ICC080 also gave promising results in terms of disease control

Aetiologic diagnosis of coronary artery aneurysm in a patient with pancreatitis, dacryoadenitis, and sialadenitis

No abstract available

Biocontrol of Fusarium crown and root rot of tomato and growth-promoting effect of bacteria isolated from recycled substrates of soilless crops

Fusarium crown and root rot (FCRR) of tomato caused by Fusarium oxysporum f. sp. radicis-lycopersici is a serious problem in agriculture today. Biological control of this disease may be an effective option to deal with this problem. Antagonistic bacteria isolated from suppressive substrates or soils were tested against FCRR in the glasshouse in a sandy soil mixture infested with the pathogen and compared with other experimental or commercial FCRR biocontrol agents. The antagonistic bacteria were applied twice before artificial infection with the pathogen. Pseudomonas sp. strain FC-24B and P. putida FC-8B provided the best and most effective suppression in all trials, reducing vascular discoloration significantly from 65 to 77% and from 52 to 100% respectively. These strains also reduced root rot by 66% and 70% respectively. Pseudomonas sp. FC-24B also substantially increased plant growth, when the pathogen was absent. Pseudomonas sp. FC-9B, Achromobacter xylosoxydans MM1, Streptomyces griseoviridis strain K61 and the commercial formulation Trichoderma harzianum ICC012 + T. viride ICC080 also gave promising results in terms of disease control

Postnatal growth in a cohort of Sardinian intrauterine growth-restricted infants

Recent studies have shown that infants with intrauterine growth restriction (IUGR) undergo catch-up growth during infancy. The aim of our study was to evaluate the postnatal growth in a cohort of IUGR infants born in a tertiary-level Obstetric University Hospital of Northern Sardinia. An observational retrospective study was conducted on 12 IUGR (group A) and 12 control infants (group B) by measuring the anthropometric parameters of weight (W), length (L) and head circumference (HC) from birth to the 3rd postnatal year. At birth, significant differences were found between group A and group B with regard to all the auxological parameters (W, mean 1846.6 versus 3170.8 g, p < 0.0001; HC, 30.1 versus 34.4 cm, p < 0.0001; L, mean 43.4 versus 49.4 cm, p < 0.0001). During the 1st year, 8 of 12 (70%) IUGR infants exhibited a significant catch-up growth in the 3 anthropometric parameters and a regular growth until the 3rd year of follow-up. The majority but not all infants born with IUGR in our series showed significant postnatal catch-up growth essentially during the first 12 months of life. An improved knowledge of the causes of IUGR will help to develop measures for its prevention and individualized treatment