2期

最新文章

• Motives with exceptional Galois groups and the inverse Galois problem AI翻译
  作者：Yun, Zhiwei
  作者单位：Stanford University
  摘要：We construct motivic a-adic representations of into exceptional groups of type E (7),E (8) and G (2) whose image is Zariski dense. This answers a question of Serre. The construction is uniform for these groups and is inspired by the Langlands correspondence for function fields. As an application, we solve new cases of the inverse Galois problem: the finite simple groups are Galois groups over for large enough primes a.
• True trees are dense AI翻译
  作者：Bishop, Christopher J.
  作者单位：State University of New York (SUNY) System; Stony Brook University
  摘要：We show that any compact, connected set K in the plane can be approximated by the critical points of a polynomial with two critical values. Equivalently, K can be approximated in the Hausdorff metric by a true tree in the sense of Grothendieck's dessins d'enfants.
• Brownian Gibbs property for Airy line ensembles AI翻译
  作者：Corwin, Ivan; Hammond, Alan
  作者单位：University of Oxford
  摘要：Consider a collection of N Brownian bridges ,B-i : [- N, N] -> R, B-i(-N) = B-i(N) = 0, 1 <= i <= N, conditioned not to intersect. The edge-scaling limit of this system is obtained by taking a weak limit as N -> a of the collection of curves scaled so that the point (0,2(1/2) N) is fixed and space is squeezed, horizontally by a factor of N (2/3) and vertically by N (1/3). If a parabola is added to each of the curves of this scaling limit, an x-translation invariant process sometimes called the...
• Le cycles and Milnor classes AI翻译
  作者：Callejas-Bedregal, R.; Morgado, M. F. Z.; Seade, J.
  作者单位：Universidade Federal da Paraiba; Universidade Estadual Paulista; Universidad Nacional Autonoma de Mexico
  摘要：The purpose of this work is to establish a link between the theory of Chern classes for singular varieties and the geometry of the varieties in question. Namely, we show that if Z is a hypersurface in a compact complex manifold, defined by the complex analytic space of zeroes of a reduced non-zero holomorphic section of a very ample line bundle, then its Milnor classes, regarded as elements in the Chow group of Z, determine the global L cycles of Z; and vice versa: The L cycles determine the M...
• New obstructions to symplectic embeddings AI翻译
  作者：Hind, R.; Kerman, E.
  作者单位：University of Notre Dame; University of Illinois System; University of Illinois Urbana-Champaign
  摘要：In this paper we establish new restrictions on the symplectic embeddings of basic shapes in symplectic vector spaces. By refining an embedding technique due to Guth, we also show that they are sharp.
• The number of topological generators for full groups of ergodic equivalence relations AI翻译
  作者：Le Maitre, Francois
  作者单位：Ecole Normale Superieure de Lyon (ENS de LYON)
  摘要：We completely elucidate the relationship between two invariants associated with an ergodic probability measure-preserving (pmp) equivalence relation, namely its cost and the minimal number of topological generators of its full group. It follows that for any free pmp ergodic action of the free group on n generators, the minimal number of topological generators for the full group of the action is n + 1, answering a question of Kechris.
• Geometric RSK correspondence, Whittaker functions and symmetrized random polymers AI翻译
  作者：O'Connell, Neil; Seppalainen, Timo; Zygouras, Nikos
  作者单位：University of Warwick; University of Wisconsin System; University of Wisconsin Madison; University of Warwick
  摘要：We show that the geometric lifting of the RSK correspondence introduced by A.N. Kirillov (Physics and Combinatorics. Proc. Nagoya 2000 2nd Internat Workshop, pp. 82-150, 2001) is volume preserving with respect to a natural product measure on its domain, and that the integrand in Givental's integral formula for -Whittaker functions arises naturally in this context. Apart from providing further evidence that Whittaker functions are the natural analogue of Schur polynomials in this setting, our r...
• Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below AI翻译
  作者：Ambrosio, Luigi; Gigli, Nicola; Savare, Giuseppe
  作者单位：Scuola Normale Superiore di Pisa; Universite Cote d'Azur; University of Pavia
  摘要：This paper is devoted to a deeper understanding of the heat flow and to the refinement of calculus tools on metric measure spaces (X, d, m). Our main results are: A general study of the relations between the Hopf-Lax semigroup and Hamilton-Jacobi equation in metric spaces (X, d). The equivalence of the heat flow in L-2(X, m) generated by a suitable Dirichlet energy and the Wasserstein gradient flow of the relative entropy functional Entm in the space of probability measuresP(X). The proof of d...
• An optimal gap theorem (vol 189, pg 737, 2012) AI翻译
  作者：Ni, Lei
  作者单位：University of California System; University of California San Diego
• Uniform existential interpretation of arithmetic in rings of functions of positive characteristic AI翻译
  作者：Pasten, Hector; Pheidas, Thanases; Vidaux, Xavier
  作者单位：Queens University - Canada; University of Crete; Universidad de Concepcion
  摘要：We show that first order integer arithmetic is uniformly positive-existentially interpretable in large classes of (subrings of) function fields of positive characteristic over some languages that contain the language of rings. One of the main intermediate results is a positive existential definition (in these classes), uniform among all characteristics p, of the binary relation or for some integer sa parts per thousand yen0. A natural consequence of our work is that there is no algorithm to d...