3期

最新文章

• 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)
• 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...
• Deformation limits of projective manifolds: Hodge numbers and strongly Gauduchon metrics AI翻译
  作者：Popovici, Dan
  作者单位：Universite de Toulouse; Universite Toulouse III - Paul Sabatier
  摘要：This paper is intended to start a series of works aimed at proving that if in a (smooth) complex analytic family of compact complex manifolds all the fibres, except one, are supposed to be projective, then the remaining (limit) fibre must be Moishezon. A new method of attack, whose starting point originates in Demailly's work, is introduced. While we hope to be able to address the general case in the near future, two important special cases are established here: the one where the Hodge numbers...
• Lattices, graphs, and Conway mutation AI翻译
  作者：Greene, Joshua Evan
  作者单位：Boston College
  摘要：The d-invariant of an integral, positive definite lattice I > records the minimal norm of a characteristic covector in each equivalence class . We prove that the 2-isomorphism type of a connected graph is determined by the d-invariant of its lattice of integral flows (or cuts). As an application, we prove that a reduced, alternating link diagram is determined up to mutation by the Heegaard Floer homology of the link's branched double-cover. Thus, alternating links with homeomorphic branched do...
• Dirichlet fundamental domains and topology of projective varieties AI翻译
  作者：Kapovich, Michael
  作者单位：University of California System; University of California Davis
  摘要：We prove that for every finitely-presented group G there exists a 2-dimensional irreducible complex-projective variety W with the fundamental group G, so that all singularities of W are normal crossings and Whitney umbrellas.
• Rotational symmetry of self-similar solutions to the Ricci flow AI翻译
  作者：Brendle, Simon
  作者单位：Stanford University
  摘要：Let (M,g) be a three-dimensional steady gradient Ricci soliton which is non-flat and kappa-noncollapsed. We prove that (M,g) is isometric to the Bryant soliton up to scaling. This solves a problem mentioned in Perelman's first paper.
• Spectral shift function of higher order AI翻译
  作者：Potapov, Denis; Skripka, Anna; Sukochev, Fedor
  作者单位：University of New South Wales Sydney; University of New Mexico
  摘要：This paper resolves affirmatively Koplienko's (Sib. Mat. Zh. 25:62-71, 1984) conjecture on existence of higher order spectral shift measures. Moreover, the paper establishes absolute continuity of these measures and, thus, existence of the higher order spectral shift functions. A spectral shift function of order naacenter dot is the function eta (n) =eta (n,H,V) such that for every sufficiently smooth function f, where H is a self-adjoint operator defined in a separable Hilbert space ai and V ...
• The main conjecture of Iwasawa theory for totally real fields AI翻译
  作者：Kakde, Mahesh
  作者单位：University of London; King's College London
  摘要：Let p be an odd prime. Let be a compact p-adic Lie group with a quotient isomorphic to acurrency sign (p) . We give an explicit description of K (1) of the Iwasawa algebra of in terms of Iwasawa algebras of Abelian subquotients of . We also prove a result about K (1) of a certain canonical localisation of the Iwasawa algebra of , which occurs in the formulation of the main conjectures of noncommutative Iwasawa theory. These results predict new congruences between special values of Artin L-func...
• The Hesselink stratification of nullcones and base change AI翻译
  作者：Clarke, Matthew C.; Premet, Alexander
  作者单位：University of Cambridge; University of Manchester
  摘要：Let G be a connected reductive algebraic group over an algebraically closed field of characteristic pa parts per thousand yen0. We give a case-free proof of Lusztig's conjectures (Lusztig in Transform. Groups 10:449-487, 2005) on so-called unipotent pieces. This presents a uniform picture of the unipotent elements of G which can be viewed as an extension of the Dynkin-Kostant theory, but is valid without restriction on p. We also obtain analogous results for the adjoint action of G on its Lie ...