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作者：Saroch, Jan
作者单位：Charles University Prague
摘要：We show that, over any ring, a module C is the codomain of a right almost split map, if and only if C is finitely presented with a local endomorphism ring. Thus we answer a 40-year-old question by Maurice Auslander.
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作者：Cavalletti, Fabio; Mondino, Andrea
作者单位：University of Pavia; Swiss Federal Institutes of Technology Domain; ETH Zurich; University of Zurich
摘要：We prove that if is a metric measure space with having (in a synthetic sense) Ricci curvature bounded from below by and dimension bounded above by , then the classic L,vy-Gromov isoperimetric inequality (together with the recent sharpening counterparts proved in the smooth setting by Milman for any , and upper diameter bounds) holds, i.e. the isoperimetric profile function of is bounded from below by the isoperimetric profile of the model space. Moreover, if equality is attained for some volum...
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作者：Balmer, Paul; Sanders, Beren
作者单位：University of California System; University of California Los Angeles; University of Copenhagen
摘要：We study the spectrum of prime ideals in the tensor-triangulated category of compact equivariant spectra over a finite group. We completely describe this spectrum as a set for all finite groups. We also make significant progress in determining its topology and obtain a complete answer for groups of square-free order. For general finite groups, we describe the topology up to an unresolved indeterminacy, which we reduce to the case of p-groups. We then translate the remaining unresolved question...
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作者：Guan, Pengfei; Lu, Siyuan
作者单位：McGill University
摘要：We establish mean curvature estimate for immersed hypersurface with nonnegative extrinsic scalar curvature in Riemannian manifold (Nn+1,(g) over bar )through regularity study of a degenerate fully nonlinear curvature equation in general Riemannian manifold. The estimate has a direct consequence for the Weyl isometric embedding problem of (S-2, g) in 3-dimensional warped product space (N-3,(g) over bar) . We also discuss isometric embedding problem in spaces with horizon in general relativity, ...
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作者：Oh, Hee; Winter, Dale
作者单位：Yale University; Korea Institute for Advanced Study (KIAS); Institute for Advanced Study - USA
摘要：For a hyperbolic rational map f of degree at least two on the Riemann sphere, we obtain estimates for the number of primitive periodic orbits of f ordered by their multiplier, and establish equidistribution of the associated holonomies, both with power saving error terms.
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作者：Lamel, Bernhard; Mir, Nordine
作者单位：University of Vienna; Qatar Foundation (QF); Texas A&M University Qatar
摘要：It is shown that any formal holomorphic mapping sending a real-analytic generic submanifold M subset of C-N of finite type into a real-analytic strongly pseudoconvex CR submanifold M' subset of C-N' is necessarily convergent. As a consequence, we obtain a positive answer to the long-standing open question of whether formal holomorphic maps sending real-analytic strongly pseudoconvex hypersurfaces into each other are convergent.
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作者：Boutillier, Cedric; de Tiliere, Beatrice; Raschel, Kilian
作者单位：Sorbonne Universite; Universite Paris-Est-Creteil-Val-de-Marne (UPEC); Centre National de la Recherche Scientifique (CNRS); Universite de Tours
摘要：We introduce a one-parameter family of massive Laplacian operators (Delta(m(k)))(k is an element of(0,1)) defined on isoradial graphs, involving elliptic functions. We prove an explicit formula for the inverse of Delta(m(k)) , the massive Green function, which has the remarkable property of only depending on the local geometry of the graph, and compute its asymptotics. We study the corresponding statistical mechanics model of random rooted spanning forests. We prove an explicit local formula f...
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作者：Gilmer, Patrick M.; Masbaum, Gregor
作者单位：Louisiana State University System; Louisiana State University; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Universite Paris Cite
摘要：For a prime, and an integer, we use Topological Quantum Field Theory (TQFT) to study a family of highest weight modules for the symplectic group where K is an algebraically closed field of characteristic p. This permits explicit formulae for the dimension and the formal character of for these highest weights.
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作者：Faure, Frederic; Tsujii, Masato
作者单位：Communaute Universite Grenoble Alpes; Universite Grenoble Alpes (UGA); Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Kyushu University
摘要：We consider the semi-classical (or Gutzwiller-Voros) zeta functions for contact Anosov flows. Analyzing the spectra of the generators of some transfer operators associated to the flow, we prove that, for arbitrarily small , its zeros are contained in the union of the -neighborhood of the imaginary axis, , and the half-plane , up to finitely many exceptions, where is the hyperbolicity exponent of the flow. Further we show that the density of the zeros along the imaginary axis satisfy an analogu...
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作者：Hochman, Michael; Solomyak, Boris
作者单位：Hebrew University of Jerusalem
摘要：Let mu be a measure on SL2(R) generating a non-compact and totally irreducible subgroup, and let nu be the associated stationary (Furstenberg) measure for the action on the projective line. We prove that if mu is supported on finitely many matrices with algebraic entries, then dim nu = min {1, h(RW)(mu)/2 chi(mu)} where h(RW)(mu) is the random walk entropy of mu, chi(mu) is the Lyapunov exponent for the random matrix product associated with mu, and dim denotes pointwise dimension. In particula...
