G2G_2-monopoles with singularities (examples)

$G_2$-monopoles are solutions to gauge theoretical equations on $G_2$-manifolds. If the $G_2$-manifolds under consideration are compact, then any irreducible $G_2$-monopole must have singularities. It is then important to understand which kind of singularities $G_2$-monopoles can have. We give examples (in the noncompact case) of non-Abelian monopoles with Dirac type singularities, and examples of monopoles whose singularities are not of that type. We also give an existence result for Abelian monopoles with Dirac type singularities on compact manifolds. This should be one of the building blocks in a gluing construction aimed at constructing non-Abelian ones.Comment: Lett Math Phys (2016

"They Come, They Fish, and They Go:” EC Fisheries Agreements with Cape Verde and São Tomé e Príncipe

Fisheries agreements with the European Community (EC) are an important component of the fisheries sector in Cape Verde and São Tomé e Príncipe, constituting today a key source of income for the respective fisheries administration. In spite of this, and of the fact that these agreements have been renewed several times over the past decades, challenges remain in domains such as control and communication of fishing activities, follow-up of financial counterparts, and integration of European fleets’ operations with the Cape Verdean and Santomean economies. This paper analyzes the EC fisheries agreements with Cape Verde and São Tomé e Príncipe in terms of those domains, considering both the contents of the agreements and their practical implementation. The fisheries sector in each of these countries is reviewed, as are some of the fundamentals and criticisms of EC fisheries agreements. It is argued that the agreements with Cape Verde and São Tomé e Príncipe will not live up to the stated objectives of sustainability and responsibility in fisheries until improvements are made to the control of EC vessels, the follow-up of funds paid by the EC, and the size and diversity of benefits accruing to the fisheries and related sectors in the two countrie

Voevodsky's mixed motives versus Kontsevich's noncommutative mixed motives

Following an insight of Kontsevich, we prove that the quotient of Voevodsky's category of geometric mixed motives DM by the endofunctor -Q(1)[2] embeds fully-faithfully into Kontsevich's category of noncommutative mixed motives KMM. We show also that this embedding is compatible with the one between pure motives. As an application, we obtain a precise relation between the Picard groups Pic(-), the Grothendieck groups, the Schur-finitenss, and the Kimura-finitenss of the categories DM and KMM. In particular, the quotient of Pic(DM) by the subgroup of Tate twists Q(i)[2i] injects into Pic(KMM). Along the way, we relate KMM with Morel-Voevodsky's stable A1-homotopy category, recover the twisted algebraic K-theory of Kahn-Levine from KMM, and extend Elmendorf-Mandell's foundational work on multicategories to a broader setting.Comment: This paper has been withdrawn for further analysi

Standard Model Higgs Searches at the LHC

The study of the mechanism behind electroweak symmetry breaking is one of the main goals of the Large Hadron Collider and of its general-purpose experiments, ATLAS and CMS. This paper reviews some of the ongoing studies by these collaborations and, when possible, highlights the differences between equivalent channels in both experiments.Comment: Parallel talk at ICHEP08, Philadelphia, USA, July 2008. 4 pages, LaTeX, 8 eps figure