2013

最新文章

• On a conjecture of Rapoport and Zink AI翻译
  作者：Hartl, Urs
  作者单位：University of Munster
  摘要：In their book, Rapoport and Zink constructed rigid analytic period spaces for Fontaine's filtered isocrystals, and period morphisms from PEL moduli spaces of p-divisible groups to some of these period spaces. They conjectured the existence of an ,tale bijective morphism of rigid analytic spaces and of a universal local system of ae (p) -vector spaces on . Such a local system would give rise to a tower of ,tale covering spaces of , equipped with a Hecke-action, and an action of the automorphism...
• Dissipative continuous Euler flows AI翻译
  作者：De Lellis, Camillo; Szekelyhidi, Laszlo, Jr.
  作者单位：University of Zurich; Leipzig University
  摘要：We show the existence of continuous periodic solutions of the 3D incompressible Euler equations which dissipate the total kinetic energy.
• Global existence of weak solutions to the FENE dumbbell model of polymeric flows AI翻译
  作者：Masmoudi, Nader
  作者单位：New York University
  摘要：Systems coupling fluids and polymers are of great interest in many branches of sciences. One of the most classical models to describe them is the FENE (Finite Extensible Nonlinear Elastic) dumbbell model. We prove global existence of weak solutions to the FENE dumbbell model of polymeric flows. The main difficulty is the passage to the limit in a nonlinear term that has no obvious compactness properties. The proof uses many weak convergence techniques. In particular it is based on the control ...
• Applications of the Kuznetsov formula on GL(3) AI翻译
  作者：Blomer, Valentin
  摘要：We develop a fairly explicit Kuznetsov formula on GL(3) and discuss the analytic behavior of the test functions on both sides. Applications to Weyl's law, exceptional eigenvalues, a large sieve and L-functions are given.
• Birationally rigid hypersurfaces AI翻译
  作者：de Fernex, Tommaso
  作者单位：Utah System of Higher Education; University of Utah
  摘要：We prove that for Na parts per thousand yen4, all smooth hypersurfaces of degree N in a(TM) (N) are birationally superrigid. First discovered in the case N=4 by Iskovskikh and Manin in a work that started this whole direction of research, this property was later conjectured to hold in general by Pukhlikov. The proof relies on the method of maximal singularities in combination with a formula on restrictions of multiplier ideals.
• On the Davenport-Heilbronn theorems and second order terms AI翻译
  作者：Bhargava, Manjul; Shankar, Arul; Tsimerman, Jacob
  作者单位：Princeton University; Institute for Advanced Study - USA; Harvard University
  摘要：We give simple proofs of the Davenport-Heilbronn theorems, which provide the main terms in the asymptotics for the number of cubic fields having bounded discriminant and for the number of 3-torsion elements in the class groups of quadratic fields having bounded discriminant. We also establish second main terms for these theorems, thus proving a conjecture of Roberts. Our arguments provide natural interpretations for the various constants appearing in these theorems in terms of local masses of ...
• Rigidity of CR maps between Shilov boundaries of bounded symmetric domains AI翻译
  作者：Kim, Sung-Yeon; Zaitsev, Dmitri
  作者单位：Kangwon National University; Trinity College Dublin
  摘要：Our goal is to establish what seems to be the first rigidity result for CR embeddings between Shilov boundaries of bounded symmetric domains of higher rank. The result states that any such CR embedding is the standard linear embedding up to CR automorphisms. Our basic assumption extends precisely the well-known optimal bound for the rank one case. There are no other restrictions on the ranks, in particular, the difficult case when the target rank is larger than the source rank is also allowed.
• Several consequences of the worths of Arthur for the spectrum and the topology of hyperbolic manifolds AI翻译
  作者：Bergeron, Nicolas; Clozel, Laurent
  作者单位：Universite Paris Cite; Sorbonne Universite; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Universite Paris Saclay; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI)
• Bounds on the density of states for Schrodinger operators AI翻译
  作者：Bourgain, Jean; Klein, Abel
  作者单位：Institute for Advanced Study - USA; University of California System; University of California Irvine
  摘要：We establish bounds on the density of states measure for Schrodinger operators. These are deterministic results that do not require the existence of the density of states measure, or, equivalently, of the integrated density of states. The results are stated in terms of a density of states outer-measure that always exists, and provides an upper bound for the density of states measure when it exists. We prove log-Holder continuity for this density of states outer-measure in one, two, and three d...
• The Local Langlands Correspondence for GLn over p-adic fields AI翻译
  作者：Scholze, Peter
  作者单位：University of Bonn
  摘要：We extend our methods from Scholze (Invent. Math. 2012, doi:10.1007/s00222-012-0419-y) to reprove the Local Langlands Correspondence for GL (n) over p-adic fields as well as the existence of l-adic Galois representations attached to (most) regular algebraic conjugate self-dual cuspidal automorphic representations, for which we prove a local-global compatibility statement as in the book of Harris-Taylor (The Geometry and Cohomology of Some Simple Shimura Varieties, 2001). In contrast to the pro...