Central morphisms and Cuspidal automorphic Representations

Let $F$ be a global field. Let $G$ and $H$ be two connected reductive group defined over $F$ endowed with an $F$-morphism $f: H\rightarrow G$ such that the induced morphism $H_{der}\rightarrow G_{der}$ on the derived groups is a central isogeny. Our main results yield in particular the following theorem: Given any irreducible cuspidal representation $\pi$ of $G(\mathbb A_F)$ its restriction to $H(\mathbb A_F)$ contains a cuspidal representation $\sigma$ of $H(\mathbb A_F)$. Conversely, assuming moreover that $f$ is an injection, any irreducible cuspidal representation $\sigma$ of $H(\mathbb A_F)$ appears in the restriction of some cuspidal representation $\pi$ of $G(\mathbb A_F)$. This theorem has an obvious local analogue

Resuscitation-promoting factors possess a lysozyme-like domain

The novel bacterial cytokine family – resuscitation-promoting factors (Rpfs) – share a conserved domain of uncharacterized function. Predicting the structure of this domain suggests that Rpfs possess a lysozyme-like domain. The model highlights the good conservation of residues involved in catalysis and substrate binding. A lysozyme-like function makes sense for this domain in the light of experimental characterization of the biological function of Rpfs

La formule des traces tordue d'apr\`es le Friday Morning Seminar

Based on the notes of the Friday Morning Seminar held in the IAS in 1983-1984 (often quoted as Morning Seminar on the Trace Formula), we give a complete and detailed proof of the Twisted Trace Formula in its primitive form i.e. its noninvariant form. ----- Notre ambition est de donner, en nous basant pour l'essentiel sur les notes du Friday Morning Seminar de l'IAS en 1983-1984 (souvent cit\'e sous le nom de Morning Seminar on the Trace Formula), une version compl\`ete de la preuve de la formule des traces dans le cas tordu dans sa version primitive c'est-\`a-dire non invariante

Unicity of types for supercuspidal representations of p-adic SL2

We consider the question of unicity of types on maximal compact subgroups for supercuspidal representations of SL2 over a nonarchimedean local field of odd residual characteristic. We introduce the notion of an archetype as the SL2-conjugacy class of a typical representation of a maximal compact subgroup, and go on to show that any archetype in SL2 is restricted from one in GL2. From this it follows that any archetype must be induced from a Bushnell-Kutzko type. Given a supercuspidal representation π of SL2(F), we give an additional explicit description of the number of archetypes admitted by π in terms of its ramification. We also describe a relationship between archetypes for GL2 and SL2 in terms of L-packets, and deduce an inertial Langlands correspondence for SL2

Les normes du HCR et les déterminants des politiques de réfugiés : comparaison du Mexique et du Soudan

Mémoire numérisé par la Direction des bibliothèques de l'Université de Montréal

THE PRIMARY STABILITY OF A CEMENTLESS HIP PROSTHESIS UNDER THE COMPRESSIVE LOADING

The objective of this research is to better understand the problems of primary stability of cementless hip prosthesis. The present study is aimed to develop a finite element model of the coupled system "femur-cementless prosthesis" which represents the implant in its environment particularly under the compressive loading. Its primary stability is investigated by quantifying the migration of the femoral stem in the femur and by analyzing the stress and strains engendered. We have made experimentations on ten fresh human femurs. A good agreement is observed between the experiments and the prediction by our finite element model for the prosthetic head displacement

La formule des traces tordue d'après le Friday Morning Seminar

International audienceThe trace formula for an arbitrary connected reductive group over a number field is due to James Arthur. The twisted case was the subject of the Friday Morning Seminar at the Institute for Advanced Study in Princeton during the academic year 1983--1984. During this seminar, lectures were given by Laurent Clozel, Jean-Pierre Labesse and Robert Langlands. Having been written quite hastily, the lecture notes of this seminar were in need to be revisited. The authors’ ambition is to give, following these notes, a complete proof of the twisted trace formula in its primitive version, i.e. its noninvariant form. This is a part of the project of the Parisian team led by Laurent Clozel and Jean-Loup Waldspurger. Their aim is to give a complete proof of the stable form of the twisted trace formula, and should provide the background for the forthcoming book by J. Arthur on endoscopy for symplectic and orthogonal groups