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Now showing items 101-110 of 221
Groups and embeddings in SL(2, C)
(Taylor & FrancisCommunications in Algebra, 2015-10-19)
We give results on when a finitely generated torsion free group does
or does not embed in SL(2, C). For instance if we glue two copies of
the figure 8 knot along its torus boundary then the fundamental group
of the resulting ...
The Triviality problem for profinite completions
(SpringerInventiones Mathematicae, 2015-02-24)
We prove that there is no algorithm that can determine whether or not a finitely presented group has a non-trivial finite quotient; indeed, this property remains undecidable among the fundamental groups of compact, ...
Exact Lagrangian immersions with a single double point
(American Mathematical Society, 2015-01-09)
We show that if a closed orientable 2k-manifold K, k > 2, with Euler characteristic χ(K) ≠ -2 admits an exact Lagrangian immersion into C2k with one transverse double point and no other self intersections, then K is ...
Automorphy of some residually dihedral Galois representations
(Springer, 2015-05-08)
We establish the automorphy of some families of 2-dimensional representations of the absolute Galois group of a totally real field, which do not satisfy the so-called ‘Taylor–Wiles hypothesis’. We apply this to the problem ...
Equidistribution of Frobenius eigenvalues
(Oxford JournalsInternational Mathematics Research Notices, 2015-02-09)
We study the problem of variation of Frobenius eigenvalues on the cohomology of families of local systems of algebraic curves over finite fields.
Kriging prediction for manifold-valued random fields
(ElsevierJournal of Multivariate Analysis, 2015-12-25)
The statistical analysis of data belonging to Riemannian manifolds is becoming increasingly important in many applications, such as shape analysis, diffusion tensor imaging and the analysis of covariance matrices. In many ...
Abelian quotients of mapping class groups of highly connected manifolds
(SpringerMathematische Annalen, 2015-10-12)
We compute the abelianisations of the mapping class groups of the manifolds W²ⁿ_g = g(Sⁿ × Sⁿ) for n ≥ 3 and g ≥ 5. The answer is a direct sum of two parts. The first part arises from the action of the mapping class group ...
Turán-type results for complete h-partite graphs in comparability and incomparability graphs
(SpringerOrder, 2015-01-05)
We consider an h-partite version of Dilworth's theorem with multiple partial orders. Let P be a fi nite set, and let <₁, ..., <ᵣ be partial orders on P. Let G(P, <₁, ..., <ᵣ) be the graph whose vertices are the elements ...
Problems in Ramsey theory, probabilistic combinatorics and extremal graph theory
(University of CambridgeDepartment of Pure Mathematics and Mathematical Statistics, 2015-11-10)
In this dissertation, we treat several problems in Ramsey theory, probabilistic combinatorics and extremal graph theory.
Bayesian regularization of the length of memory in reversible sequences
(WileyJournal of the Royal Statistical Society: Series B (Statistical Methodology), 2015-10-16)
Variable order Markov chains have been used to model discrete sequential data in a variety of fields. A host of methods exist to estimate the history-dependent lengths of memory which characterize these models and to predict ...