2期

最新文章

• Local Jacquet - Langlands correspondence and congruence modulo AI翻译
  作者：Minguez, Alberto; Secherre, Vincent
  作者单位：Universite Paris Cite; Sorbonne Universite; Centre National de la Recherche Scientifique (CNRS); Universite Paris Saclay
  摘要：Let be a non-Archimedean local field of residual characteristic p, and be a prime number different from p. We consider the local Jacquet-Langlands correspondence between -adic discrete series of and an inner form . We show that it respects the relationship of congruence modulo . More precisely, we show that two integral -adic discrete series of are congruent modulo if and only if the same holds for their Jacquet-Langlands transfers to . We also prove that the Langlands-Jacquet morphism from th...
• Hilbert's p-adic modular forms of weight 1 AI翻译
  作者：Pilloni, Vincent
  作者单位：Ecole Normale Superieure de Lyon (ENS de LYON); Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI)
  摘要：Nous montrons un th,orSme de rel,vement modulaire pour des repr,sentations galoisiennes p-adiques de dimension 2, non-ramifi,es en p, des corps totalement r,els peu ramifi,s en p.
• The isospectral torus of quasi-periodic Schrodinger operators via periodic approximations AI翻译
  作者：Damanik, David; Goldstein, Michael; Lukic, Milivoje
  作者单位：Rice University; University of Toronto
  摘要：We study the quasi-periodic Schrodinger operator -psi ''(x) + V(x)psi(x) = E psi(x), x is an element of R in the regime of small V(x) = Sigma(m is an element of Zv) c(m) exp(2 pi im omega x), omega = (omega(1), ... , omega(v)) is an element of R-v, vertical bar c(m)vertical bar <= epsilon exp(-kappa(0)vertical bar m vertical bar). We show that the set of reflectionless potentials isospectral with V is homeomorphic to a torus. Moreover, we prove that any reflectionless potential Q isospectral w...
• Local theta correspondence of tempered representations and Langlands parameters AI翻译
  作者：Atobe, Hiraku; Gan, Wee Teck
  作者单位：University of Tokyo; National University of Singapore
  摘要：In this paper, we give an explicit determination of the theta lifting for symplectic-orthogonal and unitary dual pairs over a nonarchimedean field F of characteristic 0. We determine when theta lifts of tempered representations are nonzero, and determine the theta lifts in terms of the local Langlands correspondence.
• The Kahler-Ricci flow through singularities AI翻译
  作者：Song, Jian; Tian, Gang
  作者单位：Rutgers University System; Rutgers University New Brunswick; Peking University; Princeton University
  摘要：We prove the existence and uniqueness of the weak Kahler-Ricci flow on projective varieties with log terminal singularities. We also show that the weak Kahler-Ricci flow can be uniquely continued through divisorial contractions and flips if they exist. Finally we propose an analytic version of the minimal model program with Ricci flow.