2期

最新文章

• Deformations of Galois representations and exceptional monodromy AI翻译
  作者：Patrikis, Stefan
  作者单位：Utah System of Higher Education; University of Utah
  摘要：For any simple algebraic group G of exceptional type, we construct geometric -adic Galois representations with algebraic monodromy group equal to G, in particular producing the first such examples in types and . To do this, we extend to general reductive groups Ravi Ramakrishna's techniques for lifting odd two-dimensional Galois representations to geometric -adic representations.
• The Brownian motion as the limit of a deterministic system of hard-spheres AI翻译
  作者：Bodineau, Thierry; Gallagher, Isabelle; Saint-Raymond, Laure
  作者单位：Institut Polytechnique de Paris; Ecole Polytechnique; Institut Polytechnique de Paris; Ecole Polytechnique; Centre National de la Recherche Scientifique (CNRS); Universite Paris Cite; Universite PSL; Ecole Normale Superieure (ENS); Sorbonne Universite
  摘要：We provide a rigorous derivation of the Brownian motion as the limit of a deterministic system of hard-spheres as the number of particles goes to infinity and their diameter simultaneously goes to , in the fast relaxation limit (with a suitable diffusive scaling of the observation time). As suggested by Hilbert in his sixth problem, we rely on a kinetic formulation as an intermediate level of description between the microscopic and the fluid descriptions: we use indeed the linear Boltzmann equ...
• On the connectedness of the space of codimension one foliations on a closed 3-manifold AI翻译
  作者：Eynard-Bontemps, Helene
  作者单位：Universite Paris Cite; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Sorbonne Universite
  摘要：We study the topology of the space of smooth codimension one foliations on a closed 3-manifold. We regard this space as the space of integrable plane fields included in the space of all smooth plane fields. It has been known since the late 60's that every plane field can be deformed continuously to an integrable one, so the above inclusion induces a surjective map between connected components. We prove that this map is actually a bijection.
• Integer points on spheres and their orthogonal lattices AI翻译
  作者：Aka, Menny; Einsiedler, Manfred; Shapira, Uri
  作者单位：Swiss Federal Institutes of Technology Domain; ETH Zurich; Technion Israel Institute of Technology
  摘要：Linnik proved in the late 1950's the equidistribution of integer points on large spheres under a congruence condition. The congruence condition was lifted in 1988 by Duke (building on a break-through by Iwaniec) using completely different techniques. We conjecture that this equidistribution result also extends to the pairs consisting of a vector on the sphere and the shape of the lattice in its orthogonal complement. We use a joining result for higher rank diagonalizable actions to obtain this...
• Oscillatory motions for the restricted planar circular three body problem AI翻译
  作者：Guardia, Marcel; Martin, Pau; Seara, Tere M.
  作者单位：Universitat Politecnica de Catalunya; Universitat Politecnica de Catalunya
  摘要：The restricted three body problem models the motion of a massless body under the influence of the Newtonian gravitational force caused by two other bodies called the primaries. When they move along circular Keplerian orbits and the third body moves in the same plane, one has the restricted planar circular three body problem (RPC3BP). In suitable coordinates, it is a Hamiltonian system of two degrees of freedom. The conserved energy is usually called the Jacobi constant. Llibre and Sim [Math An...
• Topological modular forms with level structure AI翻译
  作者：Hill, Michael; Lawson, Tyler
  作者单位：University of Virginia; University of Minnesota System; University of Minnesota Twin Cities
  摘要：The cohomology theory known as , for topological modular forms, is a universal object mapping out to elliptic cohomology theories, and its coefficient ring is closely connected to the classical ring of modular forms. We extend this to a functorial family of objects corresponding to elliptic curves with level structure and modular forms on them. Along the way, we produce a natural way to restrict to the cusps, providing multiplicative maps from with level structure to forms of -theory. In parti...
• Real submanifolds of maximum complex tangent space at a CR singular point, I AI翻译
  作者：Gong, Xianghong; Stolovitch, Laurent
  作者单位：University of Wisconsin System; University of Wisconsin Madison; Universite Cote d'Azur; Centre National de la Recherche Scientifique (CNRS); Universite Cote d'Azur
  摘要：We study a germ of real analytic n-dimensional submanifold of that has a complex tangent space of maximal dimension at a CR singularity. Under some assumptions, we show its equivalence to a normal form under a local biholomorphism at the singularity. We also show that if a real submanifold is formally equivalent to a quadric, it is actually holomorphically equivalent to it, if a small divisors condition is satisfied. Finally, we investigate the existence of a complex submanifold of positive di...
• Casson towers and slice links AI翻译
  作者：Cha, Jae Choon; Powell, Mark
  作者单位：Pohang University of Science & Technology (POSTECH); Korea Institute for Advanced Study (KIAS); University of Quebec; University of Quebec Montreal
  摘要：We prove that a Casson tower of height 4 contains a flat embedded disc bounded by the attaching circle, and we prove disc embedding results for height 2 and 3 Casson towers which are embedded into a 4-manifold, with some additional fundamental group assumptions. In the proofs we create a capped grope from a Casson tower and use a refined height raising argument to establish the existence of a symmetric grope which has two layers of caps, data which is sufficient for a topological disc to exist...
• Mean curvature flow with surgery of mean convex surfaces in R3 AI翻译
  作者：Brendle, Simon; Huisken, Gerhard
  作者单位：Stanford University; Eberhard Karls University of Tubingen
  摘要：We define a notion of mean curvature flow with surgery for two-dimensional surfaces in with positive mean curvature. Our construction relies on the earlier work of Huisken and Sinestrari in the higher dimensional case. One of the main ingredients in the proof is a new estimate for the inscribed radius established by the first author (Invent Math, 2015).
• Semistable models for modular curves of arbitrary level AI翻译
  作者：Weinstein, Jared
  作者单位：Boston University
  摘要：We produce an integral model for the modular curve over the ring of integers of a sufficiently ramified extension of whose special fiber is a semistable curve in the sense that its only singularities are normal crossings. This is done by constructing a semistable covering (in the sense of Coleman) of the supersingular part of , which is a union of copies of a Lubin-Tate curve. In doing so we tie together non-abelian Lubin-Tate theory to the representation-theoretic point of view afforded by Bu...