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作者：Disegni, Daniel; Liu, Yifeng
作者单位：Ben-Gurion University of the Negev; Centre National de la Recherche Scientifique (CNRS); Aix-Marseille Universite; Zhejiang University
摘要：Fix a prime number p and let E/F be a CM extension of number fields in which p splits relatively. Let pi be an automorphic representation of a quasi-split unitary group of even rank with respect to E/F such that pi is ordinary above p with respect to the Siegel parabolic subgroup. We construct the cyclotomic p-adic L-function of pi, and a certain generating series of Selmer classes of special cycles on Shimura varieties. We show, under some conditions, that if the vanishing order of the p-adic...
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作者：Liu, Yuan; Wood, Melanie Matchett; Zureick-Brown, David
作者单位：University of Illinois System; University of Illinois Urbana-Champaign; Harvard University; Amherst College
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作者：Berkolaiko, Gregory; Zelenko, Igor
作者单位：Texas A&M University System; Texas A&M University College Station
摘要：In many applied problems one seeks to identify and count the critical points of a particular eigenvalue of a smooth parametric family of self-adjoint matrices, with the parameter space often being known and simple, such as a torus. Among particular settings where such a question arises are the Floquet-Bloch decomposition of periodic Schr & ouml;dinger operators, topology of potential energy surfaces in quantum chemistry, spectral optimization problems such as minimal spectral partitions of man...
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作者：Ding, Jian; Liu, Yu; Xia, Aoteng
作者单位：Peking University
摘要：For d >= 3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$d\geq 3$\end{document}, we study the Ising model on Zd\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{...
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作者：Davison, Ben
摘要：For various 2-Calabi-Yau categories C for which the classical stack of objects M has a good moduli space p: M. M, we establish purity of the mixed Hodge module complex p!Q M. We do this by using formality in 2CY categories, along with etale neighbourhood theorems for stacks, to prove that the morphism p is modelled etale-locally by the semisimplification morphism from the stack of modules of a preprojective algebra. Via the integrality theorem in cohomological Donaldson-Thomas theory we then p...
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作者：Genevois, Anthony; Tessera, Romain
作者单位：Universite de Montpellier; Sorbonne Universite; Universite Paris Cite
摘要：This article is dedicated to the asymptotic geometry of wreath products F H := H F H where F is a finite group and H is a finitely generated group. Our first main result says that a coarse map from a finitely presented one-ended group to F H must land at bounded distance from a left coset of H. Our second main result, building on the later, is a very restrictive description of quasi-isometries between two lamplighter groups on finitely presented one-ended groups. Third, we obtain a complete cl...
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作者：Gallay, Thierry; Sverak, Vladimir
作者单位：Centre National de la Recherche Scientifique (CNRS); Communaute Universite Grenoble Alpes; Universite Grenoble Alpes (UGA); Institut Universitaire de France; University of Minnesota System; University of Minnesota Twin Cities
摘要：For the incompressible Navier-Stokes equations in R3 with low viscosity nu>0, we consider the Cauchy problem with initial vorticity omega 0 that represents an infinitely thin vortex filament of arbitrary given strength Gamma supported on a circle. The vorticity field omega(x,t) of the solution is smooth at any positive time and corresponds to a vortex ring of thickness root nu t that is translated along its symmetry axis due to self-induction, an effect anticipated by Helmholtz in 1858 and qua...
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作者：Maldague, Dominique
作者单位：Massachusetts Institute of Technology (MIT)
摘要：We prove a sharp (up to C epsilon R epsilon) L-7 square function estimate for the moment curve in R-3.
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作者：Chodosh, Otis; Choi, Kyeongsu; Mantoulidis, Christos; Schulze, Felix
作者单位：Stanford University; Korea Institute for Advanced Study (KIAS); Rice University; University of Warwick
摘要：We show that the mean curvature flow of generic closed surfaces in R 3 \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathbb{R}<^>{3}$\end{document} avoids asymptotically conical and non-spherical compact singularities. We also show that the mean curvature flow of generic closed low-entropy hypersurfaces in R 4 \d...
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作者：Hafner, Dietrich; Hintz, Peter; Vasy, Andras
作者单位：Communaute Universite Grenoble Alpes; Universite Grenoble Alpes (UGA); Swiss Federal Institutes of Technology Domain; ETH Zurich; Stanford University
