Global Jacquet-Langlands correspondence, multiplicity one and classification of automorphic representations

In this paper we show a local Jacquet-Langlands correspondence for all unitary irreducible representations. We prove the global Jacquet-Langlands correspondence in characteristic zero. As consequences we obtain the multiplicity one and strong multiplicity one theorems for inner forms of GL(n) as well as a classification of the residual spectrum and automorphic representations in analogy with results proved by Moeglin-Waldspurger and Jacquet-Shalika for GL(n).Comment: 49 pages; Appendix by N. Grba

Changes of temperature exotherms and soluble sugars in grapevine (Vitis vinifera L.) buds during winter

Nonstructural carbohydrates (NSC), including water soluble carbohydrates (WSC) are thought to serve an important role in freezing tolerance of many plants. Raffinose family oligosaccharides (RFOs) are α-galactosyl derivatives of sucrose. The most common RFOs are the trisaccharide raffinose, the tetrasaccharide stachyose, and the pentasaccharide verbascose. RFOs are nearly ubiquitous in the plant kingdom and are found in a large variety of seeds from many different families.Severely cold winter temperatures can significantly impact grapevine productivity through tissue and organ destruction caused by freeze injury. Crop loss and the need to retrain vines after bud, cane, and trunk injury mean financial loss, often for one or more years. Buds of grapevine (Vitis vinifera L.), grown at the vineyard of the Institute of Fruit Science, Vegetable Science and Viticulture, University of Hohenheim, Germany, were sampled during winter and analyzed for their concentration of soluble sugars (i.e. glucose, fructose, sucrose, raffinose and stachyose) and thermal analysis was performed to determine their freezing points. Freezing of extracellular water was recorded from -5 to -16 °C with a minimum at the beginning of January; freezing of intra-cellular water was recorded from -11 to -24 °C. Apical buds are very important organs as they determine further growth and development of tree species. Bud physiological state, including saccharide metabolism, determines their growth activity. The concentration of soluble sugars was highest by the end of December. Sugar concentrations in basal buds were significant higher than in buds from intermediate and apical shoot sections. A significant correlation could be proofed between sugar concentrations (i.e. raffinose and stachyose) and air temperature before sampling. But there was no correlation between freezing temperature of extra-cellular or intra-cellular water and soluble sugars in bud tissues

Demodulation of Spatial Carrier Images: Performance Analysis of Several Algorithms Using a Single Image

http://link.springer.com/article/10.1007%2Fs11340-013-9741-6#Optical full-field techniques have a great importance in modern experimental mechanics. Even if they are reasonably spread among the university laboratories, their diffusion in industrial companies remains very narrow for several reasons, especially a lack of metrological performance assessment. A full-field measurement can be characterized by its resolution, bias, measuring range, and by a specific quantity, the spatial resolution. The present paper proposes an original procedure to estimate in one single step the resolution, bias and spatial resolution for a given operator (decoding algorithms such as image correlation, low-pass filters, derivation tools ...). This procedure is based on the construction of a particular multi-frequential field, and a Bode diagram representation of the results. This analysis is applied to various phase demodulating algorithms suited to estimate in-plane displacements.GDR CNRS 2519 “Mesures de Champs et Identification en Mécanique des Solide

Performance of Size-Changing Algorithms in Stackable File Systems

Stackable file systems can provide extensible file system functionality with minimal performance overhead and development cost. However, previous approaches are limited in the functionality they provide. In particular, they do not support size-changing algorithms, which are important and useful for many applications, such as compression and security. We propose fast index files, a technique for efficient support of size-changing algorithms in stackable file systems. Fast index files provide a page mapping between file system layers in a way that can be used with any size-changing algorithm. Index files are designed to be recoverable if lost and add less than 0.1\% disk space overhead. We have implemented fast indexing using portable stackable templates, and we have used this system to build several example file systems with size-changing algorithms. We demonstrate that fast index files have very low overhead for typical workloads, only 2.3\% over other stacked file systems. Our system can deliver much better performance on size-changing algorithms than user-level applications, as much as five times faster

On unitarizability in the case of classical p-adic groups

In the introduction of this paper we discuss a possible approach to the unitarizability problem for classical p-adic groups. In this paper we give some very limited support that such approach is not without chance. In a forthcoming paper we shall give additional evidence in generalized cuspidal rank (up to) three.Comment: This paper is a merged and revised version of ealier preprints arXiv:1701.07658 and arXiv:1701.07662. The paper is going to appear in the Proceedings of the Simons Symposium on Geometric Aspects of the Trace Formul

The effect of frozen storage on lipids and fatty acids content in Atlantic salmon. Case study

Being a species appreciated in all parts of the world, the demand for salmon will always be high. Keeping frozen in the entire period of distribution and handling is a way to increase "shelf life". During cold storage, fish fat can be altered. The purpose of the paper is to determine the effect of cold preservation on the quality of salmon fat. These were evidenced by laboratory tests and by gas chromatography and mass spectrometry. It was analysed the samples of refrigerated and frozen fish (preserved at -20ºC, five days) from the same batch. The amount of determined lipids confirms the literature data (26%), respectively 24.99% in the fresh fish and 27.23% in the frozen fish. In frozen fish the amount of oleic acid (MUFA) extracted is higher, to the detriment of linoleic acid (PUFA). The same trend was observed for the amount of saturated fatty acids (SFA), monounsaturated fatty acids (MUFA) and polyunsaturated fatty acids (PUFA). Most fatty acids of frozen fish were monounsaturated fatty acids (43.99%), followed by polyunsaturated fatty acids (38.74%) and saturated fatty acids (19.56%). These data highlight that frozen fish, even for a short period of time (5 days), alters the content of essential fatty acids, especially polyunsaturated fatty acids

Stabilizing Heteroscedastic Noise With the Generalized Anscombe Transform. Application to Accurate Prediction of the Resolution in Displacement and Strain Maps Obtained With the Grid Method.

International audienceThe objective of this paper is to show that it is possible to predict the noise level in displacement and strain maps obtained with the grid method, but that actual noise of camera sensors being heteroscedastic, it is necessary to stabilize this noise in grid images prior to employing the predicting formulas. The procedure used for this purpose relies on the Generalized Anscombe Transform. This transform is first described. It is then shown that experimental and theoretical resolutions in strain maps obtained with the grid method are in good agreement when this transform is employed

Theorie de Lubin-Tate non-abelienne et representations elliptiques

Harris and Taylor proved that the supercuspidal part of the cohomology of the Lubin-Tate tower realizes both the local Langlands and Jacquet-Langlands correspondences, as conjectured by Carayol. Recently, Boyer computed the remaining part of the cohomology and exhibited two defects : first, the representations of GL\_d which appear are of a very particular and restrictive form ; second, the Langlands correspondence is not realized anymore. In this paper, we study the cohomology complex in a suitable equivariant derived category, and show how it encodes Langlands correspondance for all elliptic representations. Then we transfer this result to the Drinfeld tower via an enhancement of a theorem of Faltings due to Fargues. We deduce that Deligne's weight-monodromy conjecture is true for varieties uniformized by Drinfeld's coverings of his symmetric spaces.Comment: 54 page