2期

最新文章

• Desingularisation de metriques d'Einstein. II AI翻译
  作者：Biquard, Olivier
  作者单位：Sorbonne Universite; Universite PSL; Ecole Normale Superieure (ENS); Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI)
  摘要：We calculate a wall crossing formula for 4-dimensional Poincare-Einstein metrics, through a wall made of orbifold Poincare-Einstein metrics with singularities. This is based on a formalism which enables to deal with higher order terms of the Einstein equation in this setting. Some other consequences are deduced.
• Iwahori-Hecke algebras for p-adic loop groups AI翻译
  作者：Braverman, Alexander; Kazhdan, David; Patnaik, Manish M.
  作者单位：Brown University; Hebrew University of Jerusalem; University of Alberta
  摘要：This paper is a continuation of Braverman and Kazhdan (Ann Math (2) 174(3):1603-1642, 2011) in which the first two authors have introduced the spherical Hecke algebra and the Satake isomorphism for an untwisted affine Kac-Moody group over a non-archimedian local field. In this paper we develop the theory of the Iwahori-Hecke algebra associated to these same groups. The resulting algebra is shown to be closely related to Cherednik's double affine Hecke algebra. Furthermore, using these results,...
• Birationally rigid hypersurfaces (vol 192, pg 533, 2013) AI翻译
  作者：de Fernex, Tommaso
  作者单位：Utah System of Higher Education; University of Utah
• Ground states are generically a periodic orbit AI翻译
  作者：Contreras, Gonzalo
  作者单位：CIMAT - Centro de Investigacion en Matematicas
  摘要：We prove that for an expanding transformation the maximizing measures of a generic Lipschitz function are supported on a single periodic orbit.
• Negative holomorphic curvature and positive canonical bundle AI翻译
  作者：Wu, Damin; Yau, Shing-Tung
  作者单位：University of Connecticut; Harvard University
  摘要：In this note we show that if a projective manifold admits a Kahler metric with negative holomorphic sectional curvature then the canonical bundle of the manifold is ample. This confirms a conjecture of the second author.
• Control of fixed points and existence and uniqueness of centric linking systems AI翻译
  作者：Glauberman, George; Lynd, Justin
  作者单位：University of Chicago; University of Montana System; University of Montana
  摘要：A. Chermak has recently proved that to each saturated fusion system over a finite p-group, there is a unique associated centric linking system. B. Oliver extended Chermak's proof by showing that all the higher cohomological obstruction groups relevant to unique existence of centric linking systems vanish. Both proofs indirectly assume the classification of finite simple groups. We show how to remove this assumption, thereby giving a classification-free proof of the Martino-Priddy conjecture co...
• Quotients of surface groups and homology of finite covers via quantum representations AI翻译
  作者：Koberda, Thomas; Santharoubane, Ramanujan
  作者单位：University of Virginia; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Universite Paris Cite
  摘要：We prove that for each sufficiently complicated orientable surface S, there exists an infinite image linear representation of such that if is freely homotopic to a simple closed curve on S, then has finite order. Furthermore, we prove that given a sufficiently complicated orientable surface S, there exists a regular finite cover such that is not generated by lifts of simple closed curves on S, and we give a lower bound estimate on the index of the subgroup generated by lifts of simple closed c...
• Wigner measures and observability for the Schrodinger equation on the disk AI翻译
  作者：Anantharaman, Nalini; Leautaud, Matthieu; Macia, Fabricio
  作者单位：Universites de Strasbourg Etablissements Associes; Universite de Strasbourg; Universite Paris Cite; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Universidad Politecnica de Madrid
  摘要：We analyse the structure of semiclassical and microlocal Wigner measures for solutions to the linear Schrodinger equation on the disk, with Dirichlet boundary conditions. Our approach links the propagation of singularities beyond geometric optics with the completely integrable nature of the billiard in the disk. We prove a structure theorem, expressing the restriction of the Wigner measures on each invariant torus in terms of second-microlocal measures. They are obtained by performing a finer ...
• The singular set of mean curvature flow with generic singularities AI翻译
  作者：Colding, Tobias Holck; Minicozzi, William P., II
  作者单位：Massachusetts Institute of Technology (MIT)
  摘要：A mean curvature flow starting from a closed embedded hyper-surface in Rn+1 must develop singularities. We show that if the flow has only generic singularities, then the space-time singular set is contained in finitely many compact embedded (n - 1)-dimensional Lipschitz submanifolds plus a set of dimension at most n-2. If the initial hypersurface is mean convex, then all singularities are generic and the results apply. In R-3 and R-4, we show that for almost all times the evolving hypersurface...
• Rigidity versus symmetry breaking via nonlinear flows on cylinders and Euclidean spaces AI翻译
  作者：Dolbeault, Jean; Esteban, Maria J.; Loss, Michael
  作者单位：Universite PSL; Universite Paris-Dauphine; University System of Georgia; Georgia Institute of Technology
  摘要：This paper is motivated by the characterization of the optimal symmetry breaking region in Caffarelli-Kohn-Nirenberg inequalities. As a consequence, optimal functions and sharp constants are computed in the symmetry region. The result solves a longstanding conjecture on the optimal symmetry range. As a byproduct of our method we obtain sharp estimates for the principal eigenvalue of Schrodinger operators on some non-flat non-compact manifolds, which to the best of our knowledge are new. The me...