Inventiones mathematicae

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• Global Jacquet-Langlands correspondence, multiplicity one and classification of automorphic representations AI翻译
  作者：Badulescu, Alexandru Ioan
  作者单位：Universite de Poitiers
  摘要：In this paper we generalize the local Jacquet-Langlands correspondence to 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).
• Accessibility and stable ergodicity for partially hyperbolic diffeomorphisms with 1D-center bundle AI翻译
  作者：Hertz, F. Rodriguez; Hertz, M. A. Rodriguez; Ures, R.
  作者单位：Universidad de la Republica, Uruguay
  摘要：We prove that stable ergodicity is C-r supercript stop open and dense among conservative partially hyperbolic diffeomorphisms with one-dimensional center bundle, for all r is an element of [2,infinity]. The proof follows the Pugh-Shub program [29]: among conservative partially hyperbolic diffeomorphisms with one-dimensional center bundle, accessibility is C-r supercript stop open and dense, and essential accessibility implies ergodicity.
• Large derivatives, backward contraction and invariant densities for interval maps AI翻译
  作者：Bruin, H.; Rivera-Letelier, J.; Shen, W.; van Strien, S.
  作者单位：University of Surrey; Universidad Catolica del Norte; Chinese Academy of Sciences; University of Science & Technology of China, CAS; University of Warwick
  摘要：In this paper, we study the dynamics of a smooth multimodal interval map f with non-flat critical points and all periodic points hyperbolic repelling. Assuming that vertical bar Df(n)(f(c))vertical bar -> infinity as n -> infinity holds for all critical points c, we show that f satisfies the so-called backward contracting property with an arbitrarily large constant, and that f has an invariant probability mu which is absolutely continuous with respect to Lebesgue measure and the density of mu ...
• Birational cobordism invariance of uniruled symplectic manifolds AI翻译
  作者：Hu, Jianxun; Li, Tian-Jun; Ruan, Yongbin
  作者单位：Sun Yat Sen University; University of Minnesota System; University of Minnesota Twin Cities; University of Michigan System; University of Michigan; Sichuan University
• Tight geodesics in the curve complex AI翻译
  作者：Bowditch, Brian H.
  作者单位：University of Southampton
  摘要：The curve graph, g, associated to a compact surface Sigma is the 1-skeleton of the curve complex defined by Harvey. Masur and Minsky showed that this graph is hyperbolic and defined the notion of a tight geodesic therein. We prove some finiteness results for such geodesics. For example, we show that a slice of the union of tight geodesics between any pair of points has cardinality bounded purely in terms of the topological type of Sigma. We deduce some consequences for the action of the mappin...
• Gromov hyperbolic spaces and the sharp isoperimetric constant AI翻译
  作者：Wenger, Stefan
  作者单位：New York University
  摘要：In this article we exhibit the largest constant in a quadratic isoperimetric inequality which ensures that a geodesic metric space is Gromov hyperbolic. As a particular consequence we obtain that Euclidean space is a borderline case for Gromov hyperbolicity in terms of the isoperimetric function. We prove similar results for the linear filling radius inequality. Our results strengthen and generalize theorems of Gromov, Papasoglu and others.
• Symplectic embeddings of polydisks AI翻译
  作者：Guth, Larry
  作者单位：Stanford University
  摘要：If P and P' are symplectic polydisks of radii R-1 <= ... <= R-n and R-1' <= ... <= R-n', respectively, then we prove that P symplectically embeds in P' provided that C(n)R-1 <= R-1' and C(n)R-1...R-n <= R-1'...R-n'. Up to a constant factor, these conditions are optimal.
• The supercuspidal representations of p-adic classical groups AI翻译
  作者：Stevens, Shaun
  作者单位：University of East Anglia
  摘要：Let G be a unitary, symplectic or special orthogonal group over a locally compact non-archimedean local field of odd residual characteristic. We construct many new supercuspidal representations of G, and Bushnell-Kutzko types for these representations. Moreover, we prove that every irreducible supercuspidal representation of G arises from our constructions.
• Big line bundles over arithmetic varieties AI翻译
  作者：Yuan, Xinyi
  作者单位：Columbia University
• From triangulated categories to cluster algebras AI翻译
  作者：Caldero, Philippe; Keller, Bernhard
  作者单位：Centre National de la Recherche Scientifique (CNRS); Ecole Centrale de Lyon; Institut National des Sciences Appliquees de Lyon - INSA Lyon; Universite Claude Bernard Lyon 1; Universite Jean Monnet; Universite Paris Cite
  摘要：The cluster category is a triangulated category introduced for its combinatorial similarities with cluster algebras. We prove that a cluster algebra A of finite type can be realized as a Hall algebra, called exceptional Hall algebra, of the cluster category. This realization provides a natural basis for A. We prove new results and formulate conjectures on ` good basis' properties, positivity, denominator theorems and toric degenerations.