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See detailDihedral Galois representations and Katz modular forms
Wiese, Gabor UL

in Documenta Mathematica (2004), 9

We show that any two-dimensional odd dihedral representation \rho over a finite field of characteristic p>0 of the absolute Galois group of the rational numbers can be obtained from a Katz modular form of ... [more ▼]

We show that any two-dimensional odd dihedral representation \rho over a finite field of characteristic p>0 of the absolute Galois group of the rational numbers can be obtained from a Katz modular form of level N, character \epsilon and weight k, where N is the conductor, \epsilon is the prime-to-p part of the determinant and k is the so-called minimal weight of \rho. In particular, k=1 if and only if \rho is unramified at p. Direct arguments are used in the exceptional cases, where general results on weight and level lowering are not available. [less ▲]

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See detailDihedral Universal Deformations
Deo, Shaunak UL; Wiese, Gabor UL

in Research in Number Theory (2020), 6

This article deals with universal deformations of dihedral representations with a particular focus on the question when the universal deformation is dihedral. Results are obtained in three settings: (1 ... [more ▼]

This article deals with universal deformations of dihedral representations with a particular focus on the question when the universal deformation is dihedral. Results are obtained in three settings: (1) representation theory, (2) algebraic number theory, (3) modularity. As to (1), we prove that the universal deformation is dihedral if all infinitesimal deformations are dihedral. Concerning (2) in the setting of Galois representations of number fields, we give sufficient conditions to ensure that the universal deformation relatively unramified outside a finite set of primes is dihedral, and discuss in how far these conditions are necessary. As a side-result, we obtain cases of the unramified Fontaine-Mazur conjecture. As to (3), we prove a modularity theorem of the form `R=T' for parallel weight one Hilbert modular forms for cases when the minimal universal deformation is dihedral. [less ▲]

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See detailDihedral Universal Deformations
Wiese, Gabor UL

Presentation (2019, February 19)

Detailed reference viewed: 69 (1 UL)
See detailDikrech - eng Stad am Mëttelalter [Virtrag vum 25. November 2010]
Pauly, Michel UL

in Folia synoptica. Livre-souvenir publié à l'occasion du 750e anniversaire de l'Affranchissement de la Ville de Diekirch 1260-2010 (2011)

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See detaildilecti fideles nostri? Niederadelige Herrschaftsbildung im 13. Jahrhundert: Der Aufstieg der Vögte von Hunolstein.
Uhrmacher, Martin UL

in Ebeling, Dietrich; Henn, Volker; Holbach, Rudolf (Eds.) et al Landesgeschichte als multidisziplinäre Wissenschaft. Festschrift für Franz Irsigler zum 60. Geburtstag. (2001)

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See detailDilemmas of/for Development: Displacement and Resettlement
Wayessa, Gutu Olana UL

Presentation (2014, May 19)

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See detailLe dilemme de sécurité : caractériser la vision stratégique d’un État au XXIe siècle ?
Fouillet, Thibault UL

in Revue Défense Nationale (2021), n°837

The concept of a security dilemma has seen numerous changes and would appear to have regained some pertinence in the characterisation of the strategic vision of a state as it establishes its defence ... [more ▼]

The concept of a security dilemma has seen numerous changes and would appear to have regained some pertinence in the characterisation of the strategic vision of a state as it establishes its defence policy. This approach can help us to understand the attitude of small countries that face greater powers. [less ▲]

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See detailDilthey Reloaded. Für eine digitale Hermeneutik in den Geisteswissenschaften
Fickers, Andreas UL

Presentation (2019, June 17)

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See detailDiluting the Scalability Boundaries: Exploring the Use of Disaggregated Architectures for High-Level Network Data Analysis
Vega Moreno, Carlos Gonzalo UL; Zazo, José Fernando; Meyer, Hugo et al

in Vega Moreno, Carlos Gonzalo (Ed.) 2017 IEEE 19th International Conference on High Performance Computing and Communications; IEEE 15th International Conference on Smart City; IEEE 3rd International Conference on Data Science and Systems (HPCC/SmartCity/DSS) (2018, February 15)

Traditional data centers are designed with a rigid architecture of fit-for-purpose servers that provision resources beyond the average workload in order to deal with occasional peaks of data ... [more ▼]

Traditional data centers are designed with a rigid architecture of fit-for-purpose servers that provision resources beyond the average workload in order to deal with occasional peaks of data. Heterogeneous data centers are pushing towards more cost-efficient architectures with better resource provisioning. In this paper we study the feasibility of using disaggregated architectures for intensive data applications, in contrast to the monolithic approach of server-oriented architectures. Particularly, we have tested a proactive network analysis system in which the workload demands are highly variable. In the context of the dReDBox disaggregated architecture, the results show that the overhead caused by using remote memory resources is significant, between 66% and 80%, but we have also observed that the memory usage is one order of magnitude higher for the stress case with respect to average workloads. Therefore, dimensioning memory for the worst case in conventional systems will result in a notable waste of resources. Finally, we found that, for the selected use case, parallelism is limited by memory. Therefore, using a disaggregated architecture will allow for increased parallelism, which, at the same time, will mitigate the overhead caused by remote memory. [less ▲]

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See detailLa dimension extérieure des politiques de l'Union européenne
Neframi, Eleftheria UL

in FIDE (Ed.) External dimension of EU Policies (2017, October)

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See detailDimension Formulae for Spaces of Lifted Bianchi Modular Forms
Haluk Sengun, M.; Tsaknias, Panagiotis UL

E-print/Working paper (2013)

Detailed reference viewed: 39 (0 UL)
See detailLa dimension idéologique et les impacts sociaux de la technologie blockchain
Becker, Katrin UL

Presentation (2022, May 04)

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See detailDimension-free Harnack inequalities for conjugate heat equations and their applications to geometric flows
Cheng, Li-Juan; Thalmaier, Anton UL

in Analysis and PDE (in press)

Let M be a differentiable manifold endowed with a family of complete Riemannian metrics g(t) evolving under a geometric flow over the time interval [0,T[. In this article, we give a probabilistic ... [more ▼]

Let M be a differentiable manifold endowed with a family of complete Riemannian metrics g(t) evolving under a geometric flow over the time interval [0,T[. In this article, we give a probabilistic representation for the derivative of the corresponding conjugate semigroup on M which is generated by a Schrödinger type operator. With the help of this derivative formula, we derive fundamental Harnack type inequalities in the setting of evolving Riemannian manifolds. In particular, we establish a dimension-free Harnack inequality and show how it can be used to achieve heat kernel upper bounds in the setting of moving metrics. Moreover, by means of the supercontractivity of the conjugate semigroup, we obtain a family of canonical log-Sobolev inequalities. We discuss and apply these results both in the case of the so-called modified Ricci flow and in the case of general geometric flows. [less ▲]

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See detailDimensional and Social Comparison Effects on Domain-Specific Academic Self-Concepts and Interests with First- and Third-Grade Students
van der Westhuizen, Lindie UL; Arens, Katrin; Keller, Ulrich UL et al

Scientific Conference (2019, November 06)

Academic self-concepts (ASCs) are self-perceptions of one’s own academic abilities. The internal/external frame of reference (I/E) model (Marsh, 1986) explains the formation of domain-specific ASCs ... [more ▼]

Academic self-concepts (ASCs) are self-perceptions of one’s own academic abilities. The internal/external frame of reference (I/E) model (Marsh, 1986) explains the formation of domain-specific ASCs through a combination of social (i.e. comparing one’s achievement in one domain with the achievement of others in the same domain) and dimensional (i.e. comparing one’s achievement in one domain with one’s achievement in another domain) comparisons. This results into positive achievement-self-concept relations within the math and verbal domains, but into negative achievement-self-concept relations across these domains. The generalized internal/external frame of reference (GI/E) model (Möller, Müller-Kalthoff, Helm, Nagy, & Marsh, 2015) extends the I/E model to the formation of other domain-specific academic self-beliefs such as interest. Research on the validity of the (G)I/E model for elementary school children is limited, especially for first-graders. This study examined the associations between verbal and math achievement and corresponding domain-specific self-concepts and interests for first-graders and third-graders. Two fully representative Luxembourgish first-grader cohorts and two fully representative third-graders cohorts (N=21,192) were used. The analyses were based on structural equation modeling. The findings fully supported the (G)I/E model for third-graders: Achievement was positively related to self-concept and interest within matching domains. Negative relations were found between achievement and self-concept and between achievement and interest across domains. For first-graders, achievement was positively related to self-concept and interest within matching domains. However, the majority of cross-domain relations were non-significant, except for the negative path between math achievement and verbal interest. Hence, while the formation of domain-specific ASCs and interests seem to rely on social and dimensional comparisons for third-graders, only social comparisons seem to be in operation for first-graders. Gender and cohort invariance was established for both grade levels. The findings are discussed within the framework of ASC differentiation and dimensional comparison theory applied to elementary school students. [less ▲]

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See detailDimensional and Social Comparisons Effects on Domain-Specific Self-Concepts and Interests: A Study of Elementary School Children from Luxembourg Across Two Waves
van der Westhuizen, Lindie UL; Talic, Irma UL; Greiff, Samuel UL et al

Scientific Conference (2018, November 09)

Already at the beginning of elementary school, students start to develop self-beliefs and attitudes that reflect their motivation, thoughts, and feelings about a specific school domain. The internal ... [more ▼]

Already at the beginning of elementary school, students start to develop self-beliefs and attitudes that reflect their motivation, thoughts, and feelings about a specific school domain. The internal/external frame of reference (I/E) model (Marsh, 1986) encapsulates this phenomenon by explicating the formation of academic self-concept through a combination of social (i.e. comparing one’s achievement in one domain with the achievement of one’s peers in the same domain) and dimensional (i.e. comparing one’s achievement in one domain with one’s achievement in another domain) comparison processes. The recently established generalized internal/external frame of reference (GI/E) model (Möller, Müller-Kalthoff, Helm, Nagy, & Marsh, 2015) builds on the I/E model by extending it to the formation of other subject-specific academic self-beliefs and attitudes, such as interest and test anxiety. Despite the salience of the (G)I/E model in educational research, studies investigating the formation of self-beliefs and attitudes according to this model remains scarce among elementary school children. This study aims to contribute to the current literature by examining the associations between verbal and mathematics achievement, on the one hand, and corresponding domain-specific self-concepts and interests, on the other hand. A population of Luxembourgish elementary school students was assessed twice, two years apart (once in Grade 1 and once in Grade 3) as part of the Luxembourgish school monitoring system (EpStan, cohorts 2014 & 2016; epstan.lu). Using a domain-specific approach, students were assessed on math and verbal achievement as well as German- and math self-concept and interest. This culminated in a sample of N = 3606 elementary school children who participated in both waves. German- and math self-concepts and interests were self-reported whereas standardized achievement tests (see epstan.lu) were used as indicators of math and verbal (Luxembourgish for Grade 1 and German for Grade 3) achievement. Cross-lagged structural equation modelling was performed in Mplus 8 using WLSMV estimation for categorical variables. Overall, the results suggest strong support for the (G)I/E model for Grade 3, while only partial support was found for the (G)I/E model for Grade 1. More specifically, for both Grade 1 and Grade 3, achievement was positively related to self-concept and interest within the same domain. Negative relations between achievement and self-concept and interest across domains were found in Grade 3, but not in Grade 1. The findings are discussed within the context of theory and research on self-concept differentiation processes, dimensional comparison theory, and the multilingual Luxembourgish educational system. [less ▲]

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See detailDimensional Comparison Effects on Facets of Subject-Specific Anxieties: A Nested Modelling Approach
Talic, Irma UL; Sparfeldt, Jörn; Möller, Jens et al

Scientific Conference (2019, August 16)

Detailed reference viewed: 69 (4 UL)