3期

最新文章

• Strict comparison in reduced group C*-algebras AI翻译
  作者：Amrutam, Tattwamasi; Gao, David; Elayavalli, Srivatsav Kunnawalkam; Patchell, Gregory
  作者单位：Polish Academy of Sciences; Institute of Mathematics of the Polish Academy of Sciences; University of California System; University of California San Diego
  摘要：We prove that for every n is an element of N such that n >= 2, the reduced group C*-algebras of the countable free groups Cr*(Fn) have strict comparison. Our method works in a general setting: for every finitely generated acylindrically hyperbolic group G with trivial finite radical and the rapid decay property, we have Cr*(G) have strict comparison. This work also has several applications in the theory of C*-algebras including: resolving Leonel Robert's selflessness problem for Cr*(G) uniquen...
• The geometry of permutation modules AI翻译
  作者：Balmer, Paul; Gallauer, Martin
  作者单位：University of California System; University of California Los Angeles
  摘要：We consider the derived category of permutation modules for a finite group, in positive characteristic. We stratify this tensor triangulated category using Brauer quotients. We describe the spectrum of its compact objects, by reducing the problem to elementary abelian groups and then by using a twisted form of cohomology to express the spectrum locally in terms of the graded endomorphism ring of the unit. Together, these results yield a classification of thick and of localizing ideals.
• Relations on Mg,n-spin Witten conjecture AI翻译
  作者：Chidambaram, Nitin Kumar; Garcia-Failde, Elba; Giacchetto, Alessandro
  作者单位：Max Planck Society; University of Edinburgh; Universite Paris Cite; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Sorbonne Universite; Universitat Politecnica de Catalunya; Universite Paris Saclay; Centre National de la Recherche Scientifique (CNRS); CNRS - Institute of Physics (INP); CEA; Swiss Federal Institutes of Technology Domain; ETH Zurich
  摘要：We construct and study various properties of a negative spin version of the Witten r-spin class. By taking the top Chern class of a certain vector bundle on the moduli space of spin curves that parametrises r-th roots of the anticanonical bundle, we construct a non-semisimple cohomological field theory (CohFT) that we call the Theta class Theta r. This CohFT does not have a flat unit and its associated Dubrovin-Frobenius manifold is nowhere semisimple. Despite this, we construct a semisimple d...
• The Murmurations AI翻译
  作者：Zubrilina, Nina
  作者单位：Massachusetts Institute of Technology (MIT)
  摘要：We establish the first case of the surprising correlation phenomenon observed in the recent works of He, Lee, Oliver, Pozdnyakov, and Sutherland between Fourier coefficients in families of modular forms and their root numbers. We give a complete description of the resulting correlation functions for holomorphic modular forms of any fixed weight k and examine the asymptotic properties of these functions.
• Riesz means asymptotics for Dirichlet and Neumann Laplacians on Lipschitz domains AI翻译
  作者：Frank, Rupert L.; Larson, Simon
  作者单位：University of Munich; California Institute of Technology; Chalmers University of Technology; University of Gothenburg
  摘要：We consider the eigenvalues of the Dirichlet and Neumann Laplacians on a bounded domain with Lipschitz boundary and prove two-term asymptotics for their Riesz means of arbitrary positive order. Moreover, when the underlying domain is convex, we obtain universal, non-asymptotic bounds that correctly reproduce the two leading terms in the asymptotics and depend on the domain only through simple geometric characteristics. Important ingredients in our proof are non-asymptotic versions of various T...
• Tautological and non-tautological cycles on the moduli space of Abelian varieties AI翻译
  作者：Canning, Samir; Oprea, Dragos; Pandharipande, Rahul
  作者单位：Swiss Federal Institutes of Technology Domain; ETH Zurich; University of California System; University of California San Diego
  摘要：The tautological Chow ring of the moduli space Ag\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathcal{A}_{g}$\end{document} of principally polarized abelian varieties of dimension g\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbs...
• Orbit equivalences of pseudo-Anosov flows AI翻译
  作者：Barthelme, Thomas; Frankel, Steven; Mann, Kathryn
  作者单位：Queens University - Canada; Washington University (WUSTL); Cornell University
  摘要：We prove a classification theorem for transitive Anosov and pseudo-Anosov flows on closed 3-manifolds, up to orbit equivalence. In many cases, flows on a 3-manifold M are completely determined by the set of free homotopy classes of their (unoriented) periodic orbits. The exceptional cases are flows with a special structure in their orbit space called a tree of scalloped regions; in these cases the set of free homotopy classes of unoriented periodic orbits together with the additional data of a...
• A random Hall-Paige conjecture AI翻译
  作者：Muyesser, Alp; Pokrovskiy, Alexey
  作者单位：University of Oxford; University of London; University College London
  摘要：A complete mapping of a group G is a bijection phi:G -> G such that x bar right arrow x phi(x) is also bijective. Hall and Paige conjectured in 1955 that a finite group G has a complete mapping whenever Pi(x is an element of G)x is the identity in the abelianization of G. This was confirmed in 2009 by Wilcox, Evans, and Bray with a proof using the classification of finite simple groups. In this paper, we give a combinatorial proof of a far-reaching generalisation of the Hall-Paige conjecture f...
• Curvature and sharp growth rates of log-quasimodes on compact manifolds AI翻译
  作者：Huang, Xiaoqi; Sogge, Christopher D.
  作者单位：Louisiana State University System; Louisiana State University; Johns Hopkins University
  摘要：We obtain new optimal estimates for the L-2(M)-> L-q(M), q is an element of(2,q(c)], q(c)=2(n+1)/(n-1), operator norms of spectral projection operators associated with spectral windows [lambda,lambda+delta(lambda)], with delta(lambda)=O((log lambda)(-1)) on compact Riemannian manifolds (M,g) of dimension n >= 2 all of whose sectional curvatures are nonpositive or negative. We show that these two different types of estimates are saturated on flat manifolds or manifolds all of whose sectional cu...
• Hausdorff dimension of the Apollonian gasket AI翻译
  作者：Vytnova, Polina L.; Wormell, Caroline L.
  作者单位：University of Surrey; University of Sydney
  摘要：The Apollonian gasket is a well-studied circle packing. Important properties of the packing, including the distribution of the circle radii, are governed by its Hausdorff dimension. No closed form is currently known for the Hausdorff dimension, and its computation is a special case of a more general and hard problem: effective, rigorous estimates of dimension of a parabolic limit set. In this paper we develop an efficient method for solving this problem which allows us to compute the dimension...