Blackfolds, plane waves and minimal surfaces

Minimal surfaces in Euclidean space provide examples of possible non-compact horizon geometries and topologies in asymptotically flat space-time. On the other hand, the existence of limiting surfaces in the space-time provides a simple mechanism for making these configurations compact. Limiting surfaces appear naturally in a given space-time by making minimal surfaces rotate but they are also inherent to plane wave or de Sitter space-times in which case minimal surfaces can be static and compact. We use the blackfold approach in order to scan for possible black hole horizon geometries and topologies in asymptotically flat, plane wave and de Sitter space-times. In the process we uncover several new configurations, such as black helicoids and catenoids, some of which have an asymptotically flat counterpart. In particular, we find that the ultraspinning regime of singly-spinning Myers-Perry black holes, described in terms of the simplest minimal surface (the plane), can be obtained as a limit of a black helicoid, suggesting that these two families of black holes are connected. We also show that minimal surfaces embedded in spheres rather than Euclidean space can be used to construct static compact horizons in asymptotically de Sitter space-times.

Uniqueness of minimisers for a Grötzsch-Belinskiĭ type inequality in the Heisenberg group

The modulus method introduced by H. Grötzsch yields bounds for a mean distortion functional of quasiconformal maps between two annuli mapping the respective boundary components onto each other. P. P. Belinskiĭ studied these inequalities in the plane and identified the family of all minimisers. Beyond the Euclidean framework, a Grötzsch-Belinskiĭ-type inequality has been previously considered for quasiconformal maps between annuli in the Heisenberg group whose boundaries are Korányi spheres. In this note we show that--in contrast to the planar situation--the minimiser in this setting is essentially unique.

Addressing climate change under preferential trade agreements: Towards alignment of carbon standards under the Transatlantic Trade and Investment Partnership

With its wide coverage of economic spheres and the variety of trade and investment measures currently under negotiation, the Transatlantic Trade and Investment Partnership opens windows of opportunity for advancing action on climate change. We examine possible avenues and international trade law implications for an alignment of carbon-related standards between the EU and the US. We compare EU and US carbon emissions standards for cars and argue that negotiators should strive for a mutual recognition of their equivalence for a transitional period, while pursuing the goal of full harmonization at the level of the highest standards of two parties at some date in the future. This could be a way to balance between economic and environmental interests and harness economic incentives for the benefit of climate.

Toward alignment of carbon standards under the Transatlantic Trade and Investment Partnership

With its wide coverage of economic spheres and the variety of trade and investment measures currently under negotiation, the Transatlantic Trade and Investment Partnership (TTIP) opens windows of opportunity for climate change mitigation and adaptation. The paper examines the possible avenues and the WTO law implications for the alignment of emissions standards between the European Union (EU) and United States of America (US). Looking particularly at the automobile sector, it argues that TTIP negotiators should strive for the mutual recognition of equivalence of EU and US car emissions standards, while pursuing full harmonisation in the long term. It concludes that the preferential trade agreement (PTA) status of TTIP would not be able to exempt measures taken for regulatory convergence from compliance with applicable WTO rules, particularly the rules of the WTO’s Agreement on Technical Barriers to Trade (TBT). Furthermore, the EU and the US would not be able to ignore requests for the recognition of equivalence of third countries’ standards and would need to provide the grounds upon which they assess third countries’ standards as not adequately fulfilling the objectives of their own regulations and therefore rejecting them.

Selecting Contexts. One Method of Selecting Contexts for Theatre Historiography

In principle, the world and life itself are the contexts of theatrical events. The term context is broad and thus seems hardly usable. It only makes sense to use the term when terminologies and methodologies determine which parts of their contexts are to be incorporated and analysed for which theatrical event. This presentation exemplifies a method which is particularly suitable for sensibly selecting the most important contexts for research in theatre history. The complexity of the representation increases continuously from The Presentation of Self in Everyday Life to Brecht’s “Street Scene” and “Everyday Theatre”, portrayals of rulers in feasts and parades to Hamlet productions by the Royal Shakespeare Company or a Wagner opera in Bayreuth. The different forms of theatre thus constitute a continuum which spans from “everyday theatre” to “art theatre”. The representation of the world in this continuum is sometimes questioned by the means of theatre, for example when Commedia dell’arte takes a critical stance towards the representative theatre of the humanists or when playful devices such as reversal, parody and fragmentation challenge the representative character of productions, which is applied by the Vice character for instance. There is a second component that has an impact on the continuum without a theatrical device: attitude, opinion, norms and bans which originate from society. As excerpts of contexts, they refer to single forms of theatre in the continuum. This results in a complex system of four components which evolves from the panorama between the antipodes “everyday theatre” and “art theatre” as well as both spheres of influence of which only one uses theatrical devices. All components interact in a specific time frame in a specific place in a specific way in each case, which can then be described as the theatricality in this time frame. This presentation will deal with what the concept is capable of doing.