-
作者：Maderna, Ezequiel; Venturelli, Andrea
摘要：We prove for the N-body problem the existence of hyperbolic motions for any prescribed limit shape and any given initial configuration of the bodies. The energy level h > 0 of the motion can also be chosen arbitrarily. Our approach is based on the construction of global viscosity solutions for the Hamilton-Jacobi equation H(x, clu) = h. We prove that these solutions are fixed points of the associated Lax-Oleinik semigroup. The presented results can also be viewed as a new application of Marcha...
-
作者：Petrow, Ian; Young, Matthew P.
摘要：We prove a Weyl-exponent subconvex bound for any Dirichlet L-function of cube-free conductor. We also show a bound of the same strength for certain L-functions of self-dual GL(2) automorphic forms that arise as twists of forms of smaller conductor.
-
作者：Angenent, Sigurd; Daskalopoulos, Panagiota; Sesum, Natasa
摘要：In this paper we consider the classification of closed non-collapsed ancient solutions to the Mean Curvature Flow (n >= 2) that are uniformly two-convex. We prove that they are either contracting spheres or they must coincide up to translations and scaling with the rotationally symmetric closed ancient non-collapsed solution first constructed by Brian White, and later by Robert Haslhofer and Or Hershkovits.
-
作者：Guth, Larry; Wang, Hong; Zhang, Ruixiang
摘要：We prove a sharp square function estimate for the cone in R-3 and consequently the local smoothing conjecture for the wave equation in 2 + 1 dimensions.
-
作者：Rizzardo, Alice; Van den Bergh, Michel
摘要：In this paper we give an example of a triangulated category, linear over a field of characteristic zero, which does not carry a DG-enhancement. The only previous examples of triangulated categories without a model have been constructed by Muro, Schwede and Strickland. These examples are however not linear over a field.
-
作者：Brunat, Olivier; Dudas, Olivier; Taylor, Jay
摘要：We show that the decomposition matrix of unipotent l-blocks of a finite reductive group G(F-q) has a unitriangular shape, assuming q is a power of a good prime and l is very good for G. This was conjectured by Geck in 1990 as part of his PhD thesis. We establish this result by constructing projective modules using a modification of generalised Gelfand-Graev characters introduced by Kawanaka. We prove that each such character has at most one unipotent constituent which occurs with multiplicity ...
-
作者：Schafhauser, Christopher
摘要：It is shown that if A is a separable, exact C*-algebra which satisfies the Universal Coefficient Theorem (UCT) and has a faithful, amenable trace, then A admits a trace-preserving embedding into a simple, unital AF algebra with a unique trace. Modulo the UCT, this provides an abstract characterization of C*-subalgebras of simple, unital AF-algebras. As a consequence, for a countable, discrete, amenable group G acting on a second countable, locally compact, Hausdorff space X, C-o(X) infinity(r)...
-
作者：McLean, Mark
摘要：We show that any two birational projective Calabi-Yau manifolds have isomorphic small quantum cohomology algebras after a certain change of Novikov rings. The key tool used is a version of an algebra called symplectic cohomology, which is constructed using Hamiltonian Floer cohomology. Morally, the idea of the proof is to show that both small quantum products are identical deformations of symplectic cohomology of some common open affine subspace.
-
作者：Tikhomirov, Konstantin
摘要：For each n, let M-n, be an n x n random matrix with independent +/- 1 entries. We show that P{M-n is singular} = (1/2 + o(n)(1))(n), which settles an old problem. Some generalizations are considered.
-
作者：Ivanisvili, Paata; van Handel, Ramon; Volberg, Alexander
摘要：A nonlinear analogue of the Rademacher type of a Banach space was introduced in classical work of Enflo. The key feature of Enflo type is that its definition uses only the metric structure of the Banach space, while the definition of Rademacher type relies on its linear structure. We prove that Rademacher type and Enflo type coincide, settling a long-standing open problem in Banach space theory. The proof is based on a novel dimension-free analogue of Pisier's inequality on the discrete cube.
