Search
Now showing items 271-280 of 1390
Markov numbers and Lagrangian cell complexes in the complex projective plane
(Mathematical sciences publishersGEOMETRY & TOPOLOGY, 2018)
We study Lagrangian embeddings of a class of two-dimensional cell complexes L_p,q into the complex projective plane. These cell complexes, which we call pinwheels, arise naturally in algebraic geometry as vanishing cycles ...
Balanced semisimple filtrations for tilting modules
(American Mathematical SocietyRepresentation Theory, 2017-03-08)
Let $ U_l$ be a quantum group at an $ l$th root of unity, obtained via Lusztig's divided powers construction. Many indecomposable tilting modules for $ U_l$ have been shown to have what we call a balanced semisimple ...
The half plane UIPT is recurrent
(SpringerProbability Theory and Related Fields, 2017-03-07)
We prove that the half plane version of the uniform infinite planar triangulation (UIPT) is recurrent. The key ingredients of the proof are a construction of a new full plane extension of the half plane UIPT, based on a ...
Topological cycle matroids of infinite graphs
(ElsevierEuropean Journal of Combinatorics, 2017-02-01)
We prove that the topological cycles of an arbitrary infinite graph together with its topological ends form a matroid. This matroid is, in general, neither finitary nor cofinitary.
Infinitesimal Models of Algebraic Theories
(University of CambridgeDepartment of Pure Mathematics and Mathematical StatisticsHomerton College, 2017-11-25)
Smooth manifolds have been always understood intuitively as spaces that are infinitesimally
linear at each point, and thus infinitesimally affine when forgetting about the base point. The
aim of this thesis is to develop ...
Comments on: High-dimensional simultaneous inference with the bootstrap
(Sociedad de Estadistica e Investigacion OperativaTest, 2017-12-01)
We congratulate the authors on their stimulating contribution to the burgeoning high-dimensional inference literature. The bootstrap offers such an attractive methodology in these settings, but it is well-known that its ...
Marginalization and conditioning for LWF chain graphs
(Institute of Mathematical StatisticsAnnals of Statistics, 2016-08)
In this paper, we deal with the problem of marginalization over and conditioning on two disjoint subsets of the node set of chain graphs (CGs) with the LWF Markov property. For this purpose, we define the class of chain ...
A Paley-like graph in characteristic two
(Journal of Combinatorics, 2016)
The Paley graph is a well-known self-complementary pseudo-random graph, defined over a finite field of odd order. We describe an attempt at an analogous construction using fields of even order. Some properties of the graph ...
Bounding cohomology for low rank algebraic groups
(University of CambridgeDPMMSHomerton, 2017-08-01)
Let G be a semisimple linear algebraic group over an algebraically closed field of prime characteristic. In this thesis we outline the theory of such groups and their cohomology. We then concentrate on algebraic groups in ...
K-stability for Kähler manifolds
(International PressMathematical Research Letters, 2017-09)
We formulate a notion of K-stability for Kähler manifolds, and prove one direction of the Yau–Tian–Donaldson conjecture in this setting. More precisely, we prove that the Mabuchi functional being bounded below (resp. ...