Portail HAL de l'Université Picardie Jules Verne
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    Cohomological integrality for symmetric quotient stacks

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    In this paper, we establish the sheafified version of the cohomological integrality conjecture for stacks obtained as a quotient of a smooth affine symmetric algebraic variety by a reductive algebraic group equipped with an invariant function. A crucial step is the definition of the BPS sheaf as a complex of monodromic mixed Hodge modules. We prove the purity of the BPS sheaf when the situation arises from a smooth affine weakly symplectic algebraic variety with a weak moment map. This situation gives local models for 1-Artin derived stacks with self-dual cotangent complex. We then apply these results to prove a conjecture of Halpern-Leistner predicting the purity of the Borel-Moore homology of 00-shifted symplectic stacks (or more generally, derived stacks with self-dual cotangent complex) having a proper good moduli space. One striking application is the purity of the Borel--Moore homology of the moduli stack of principal Higgs bundles over a smooth projective curve for a reductive group

    GDP Forecasting Performance, Monetary Policy Tools and Natural Resources: Mixed Frequency Bayesian VAR models for the Eurozone from 1999 to 2024

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    This study develops a Mixed-Frequency Bayesian Vector Autoregressive (MF-BVAR) model to predict GDP growth in the Eurozone from 1999 to 2024. The model integrates monetary policy tools, economic variables, and natural resources data to enhance prediction accuracy. The model captures the dynamic interaction between these factors by incorporating mixed-frequency data and Bayesian inference. In addition, employing a Bayesian framework, we consider prior distributions and update them with observed data, ensuring that our model remains robust and responsive to new information. Introducing natural resources data reduces forecasting errors measured by Root Mean Squared Errors (RMSE) and Theil inequality coefficient metrics. The results demonstrate the model's robustness in forecasting GDP growth, providing valuable insights for policymakers and economists. Moreover, it is also important to note that our findings highlight the significant and direct influence of natural resources on predicting GDP growth in the Eurozone. This conclusion has been overlooked in the current literature

    Dg-separable dg-extensions

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    We define and characterise completely dg-separable dg-extensions φ:(A,dA)(B,dB)\varphi:(A,d_A)\rightarrow (B,d_B). We completely characterise the case of graded commutative dg-division algebras in characteristic different from 22. We prove that for a dg-separable extension a short exact sequence of dg-modules over (B,dB)(B,d_B) splits if and only if the restriction to (A,dA)(A,d_A) splits

    Frobenius extensions and the exotic nilCoxeter algebra for G(m,m,3)G(m,m,3)

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    In a previous paper of the first author, the type A affine Cartan matrix was q-deformed to produce a deformation of the reflection representation of the affine Weyl group. This deformation plays a role in the quantum geometric Satake equivalence. In this paper we introduce the study of q-deformed divided difference operators. When q is specialized to a primitive 2m-th root of unity, this affine reflection representation factors through a quotient, the complex reflection group G(m,m,n)G(m,m,n). The divided difference operators now generate a finite-dimensional algebra we call the exotic nilCoxeter algebra. This algebra is new and has surprising features. In addition to the usual braid relations, we prove a new relation called the roundabout relation. A classic result of Demazure, for Weyl groups, states that the polynomial ring of the reflection representation is a Frobenius extension over its subring of invariant polynomials, and describes how the Frobenius trace can be constructed within the nilCoxeter algebra. We study the analogous Frobenius extension for G(m,m,n)G(m,m,n), and identify the Frobenius trace within the exotic nilCoxeter algebra for G(m,m,3)G(m,m,3)

    En mer, en port, écrire encore : le scripteur urbain et la mer

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    Assembler les pièces du parcours de soins : le Système national des données de santé et ses applications en néphrologie

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    International audienceThe creation of the National Health Data System aims to collect, structure, and make analyzable the various documents resulting in particular from hospitalization, outpatient care, death certificates, and disability-related measures, in order to provide a population-based, longitudinal, and consistent view of care pathways.La création du Système national des données de santé (SNDS) vise à rassembler, structurer et rendre analysables les différentes pièces issues notamment de l’hospitalisation, des soins de ville, des certificats de décès ou encore des dispositifs liés au handicap, afin de permettre une vision populationnelle, longitudinale et cohérente des trajectoires de soins

    Event-based 6-DoF object tracking with distance field reaching 130 Hz

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    International audienceEvent cameras report asynchronous, per-pixelbrightness changes with microsecond latency, making themattractive for high-speed 6-DoF object tracking. We presentEDFT, a real-time 6-DoF object tracker that uses only amonocular event camera and a 3D model. At the core is anevent-based distance field (EDF) that endows sparse events withtwo-sided spatial gradients around object edges—overcomingthe one-sided behavior of Time Surface maps—and a 3D–2Dregistration that aligns a sparse, model-derived point set to theEDF.We evaluate on the E-POSE benchmark and on the 5events16dataset we introduce with this article. On 5events16 (UR10 armproviding ground truth poses, five objects, ten sequences plus6 handheld sequences), EDFT tracks accurately all sequencessuccessfully contrary to three previous state-of-the-art methods.On E-POSE where objects occupy only a small fraction ofthe field of view and the camera moves rapidly, EDFT stillmaintains start-to-finish tracking

    Subcutaneous infliximab in inflammatory bowel disease: bridging the gap between theory and practice.

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    International audienceBackground: At the end of the past century, infliximab (IFX), the first-in-class biological therapy approved in inflammatory bowel disease (IBD), dramatically modified the therapeutic armamentarium. The recent development of subcutaneous (SC) formulations of IFX offers a promising alternative, with the potential to improve patient convenience, adherence, and overall outcomes. This review explores the clinical evidence supporting the initiation of SC IFX and the transition from intravenous (IV) to SC IFX.Methods: Comprehensive review using MEDLINE (source PUBMED).Results: Comparative studies have shown that SC IFX is associated with higher IFX serum concentration levels than IV, fewer neutralizing antibodies and similar levels of remission. Real-world studies have confirmed that switching from IV to SC IFX 120 mg is well accepted with a low risk of relapse. The ease of at-home administration has been associated with improved patient satisfaction and reduced healthcare burdens. The adoption of SC IFX could profoundly change the therapeutic landscape, offering a more patient-centered approach to long-term disease control but some questions remain, particularly about the place of IFX in certain populations.Conclusion: In this article, we reviewed the known and unknown data on SC IFX to provide a comprehensive summary and assist IBD physicians in integrating this knowledge into everyday clinical practice

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    Portail HAL de l'Université Picardie Jules Verne
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