1,550 research outputs found
Ihara's lemma and level rising in higher dimension
A key ingredient in the Taylor-Wiles proof of Fermat last theorem is the
classical Ihara's lemma which is used to rise the modularity property between
some congruent galoisian representations. In their work on Sato-Tate,
Clozel-Harris-Taylor proposed a generalization of the Ihara's lemma in higher
dimension for some similitude groups. The main aim of this paper is then to
prove some new instances of this generalized Ihara's lemma by considering some
particular non pseudo Eisenstein maximal ideals of unramified Hecke algebras.
As a consequence, we prove a level rising statement
Persitence of non degeneracy: a local analog of Ihara's lemma
Persitence of non degeneracy is a phenomenon which appears in the theory of
-representations of the linear group: every irreducible
submodule of the restriction to the mirabolic subgroup of an non degenerate
irreducible representation is non degenerate. This is no more true in general,
if we look at the modulo reduction of some stable lattice. As in the
Clozel-Harris-Taylor generalization of global Ihara's lemma, we show that this
property, called non degeneracy persitence, remains true for lattices given by
the cohomology of Lubin-Tate spaces
Exact Sparse Matrix-Vector Multiplication on GPU's and Multicore Architectures
We propose different implementations of the sparse matrix--dense vector
multiplication (\spmv{}) for finite fields and rings \Zb/m\Zb. We take
advantage of graphic card processors (GPU) and multi-core architectures. Our
aim is to improve the speed of \spmv{} in the \linbox library, and henceforth
the speed of its black box algorithms. Besides, we use this and a new
parallelization of the sigma-basis algorithm in a parallel block Wiedemann rank
implementation over finite fields
La cohomologie des espaces de Lubin-Tate est libre
This article is the entire version, that is with coefficients in the ring of
integers of a local field, of my last paper at inventiones. The principal
result is the freeness of the cohomology groups of the Lubin-Tate tower. The
strategy is to study the process of saturation in the construction of the
filtration of stratification of Harris-Taylor systems local and of the perverse
sheaf of vanishing cycles of some unitary Shimura variety. In this new version
we use the mirabolic representation and we study the l-torsion of the cockerel
between and Harris-Taylor perverse sheaves.Comment: 42 pages, in Frenc
Human Cultures through the Scientific Lens
"This volume brings together a collection of seven articles previously published by the author, with a new introduction reframing the articles in the context of past and present questions in anthropology, psychology and human evolution. It promotes the perspective of ‘integrated’ social science, in which social science questions are addressed in a deliberately eclectic manner, combining results and models from evolutionary biology, experimental psychology, economics, anthropology and history. It thus constitutes a welcome contribution to a gradually emerging approach to social science based on E. O. Wilson’s concept of ‘consilience’.
Human Cultures through the Scientific Lens spans a wide range of topics, from an examination of ritual behaviour, integrating neuro-science, ethology and anthropology to explain why humans engage in ritual actions (both cultural and individual), to the motivation of conflicts between groups. As such, the collection gives readers a comprehensive and accessible introduction to the applications of an evolutionary paradigm in the social sciences.
This volume will be a useful resource for scholars and students in the social sciences (particularly psychology, anthropology, evolutionary biology and the political sciences), as well as a general readership interested in the social sciences.
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