2019

最新文章

• Specialization of birational types AI翻译
  作者：Kontsevich, Maxim; Tschinkel, Yuri
  作者单位：Universite Paris Saclay; New York University; Simons Foundation
• Classification of Rauzy-Veech groups: proof of the Zorich conjecture AI翻译
  作者：Gutierrez-Romo, Rodolfo
  作者单位：Universite Paris Cite; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI)
  摘要：We classify the Rauzy-Veech groups of all connected components of all strata of the moduli space of translation surfaces in absolute homology, showing, in particular, that they are commensurable to arithmetic lattices of symplectic groups. As a corollary, we prove a conjecture of Zorich about the Zariski-density of such groups.
• Algebraic renormalisation of regularity structures AI翻译
  作者：Bruned, Y.; Hairer, M.; Zambotti, L.
  作者单位：Imperial College London; Sorbonne Universite; Centre National de la Recherche Scientifique (CNRS); Universite Paris Cite
  摘要：We give a systematic description of a canonical renormalisation procedure of stochastic PDEs containing nonlinearities involving generalised functions. This theory is based on the construction of a new class of regularity structures which comes with an explicit and elegant description of a subgroup of their group of automorphisms. This subgroup is sufficiently large to be able to implement a version of the BPHZ renormalisation prescription in this context. This is in stark contrast to previous...
• Collet, Eckmann and the bifurcation measure AI翻译
  作者：Astorg, Matthieu; Gauthier, Thomas; Mihalache, Nicolae; Vigny, Gabriel
  作者单位：Universite de Orleans; Universite de Picardie Jules Verne (UPJV); Universite Paris Saclay; Institut Polytechnique de Paris; Ecole Polytechnique; Centre National de la Recherche Scientifique (CNRS); Universite Gustave-Eiffel; Universite Paris-Est-Creteil-Val-de-Marne (UPEC)
  摘要：The moduli space M-d of degree d >= 2 rational maps can naturally be endowed with a measure mu(bif) detecting maximal bifurcations, called the bifurcation measure. We prove that the support of the bifurcation measure mu bif has positive Lebesgue measure. To do so, we establish a general sufficient condition for the conjugacy class of a rational map to belong to the support of mu bif and we exhibit a large set of Collet-Eckmann rational maps which satisfy this condition. As a consequence, we ge...
• Wellposedness of the 2D full water wave equation in a regime that allows for non-C1 interfaces AI翻译
  作者：Wu, Sijue
  作者单位：University of Michigan System; University of Michigan
  摘要：We consider the two dimensional gravity water wave equation in a regime where the free interface is allowed to be non-C-1. In this regime, only a degenerate Taylor inequality -partial derivative P/partial derivative n >= 0 holds, with degeneracy at the singularities. In Kinsey and Wu (Camb J Math 6(2):93-181, 2018) an energy functional E(t) was constructed and an a-priori estimate was proved. The energy functional E(t) is not only finite for interfaces and velocities in Sobolev spaces, but als...
• The characteristic cycle and the singular support of a constructible sheaf (vol 207, pg 597, 2017) AI翻译
  作者：Saito, Takeshi
  作者单位：University of Tokyo
• Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras (vol 211, pg 591, 2018) AI翻译
  作者：Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho
  作者单位：United Arab Emirates University; Kyoto University; Korea Institute for Advanced Study (KIAS); Kyung Hee University
  摘要：We fix a mistake in [1] on the definition of commuting family of central objects.
• K-theoretic obstructions to bounded t-structures AI翻译
  作者：Antieau, Benjamin; Gepner, David; Heller, Jeremiah
  作者单位：University of Illinois System; University of Illinois Chicago; University of Illinois Chicago Hospital; University of Melbourne; University of Illinois System; University of Illinois Urbana-Champaign
  摘要：Schlichting conjectured that the negative K-groups of small abelian categories vanish and proved this for noetherian abelian categories and for all abelian categories in degree -1. The main results of this paper are that K-1(E) vanishes when E is a small stable -category with a bounded t-structure and that K-n(E) vanishes for all n1 when additionally the heart of E is noetherian. It follows that Barwick's theorem of the heart holds for nonconnective K-theory spectra when the heart is noetheria...
• Integral models of Hilbert modular varieties in the ramified case, deformations of modular Galois representations, and weight one forms AI翻译
  作者：Sasaki, Shu
  作者单位：University of Duisburg Essen
  摘要：We prove the strong Artin conjecture for continuous, totally odd, two-dimensional representations of the absolute Galois group of a totally real field F.
• W-algebras as coset vertex algebras AI翻译
  作者：Arakawa, Tomoyuki; Creutzig, Thomas; Linshaw, Andrew R.
  作者单位：Kyoto University; University of Alberta; University of Denver
  摘要：We prove the long-standing conjecture on the coset construction of the minimal series principal W-algebras of ADE types in full generality. We do this by first establishing Feigin's conjecture on the coset realization of the universal principal W-algebras, which are not necessarily simple. As consequences, the unitarity of the discrete series of principal W-algebras is established, a second coset realization of rational and unitary W-algebras of type A and D are given and the rationality of Ka...