Let $\textbf {G}$ be a simply connected semisimple algebraic group over a field of characteristic greater than the Coxeter number. We construct a monoidal action of the diagrammatic Hecke category on the principal block $\operatorname {Rep}_0(\textbf {G})$ of $\operatorname {Rep}(\textbf {G})$ by wall-crossing functors. This action was conjectured to exist by Riche and Williamson. Our method uses constructible sheaves and relies on Smith–Treumann theory.

The following article seeks to question the deterministic tinge behind entanglement fetishism, namely the celebratory, uninhibited, and totalising projection of the world as a relational wholeness. Alongside the rise of Anthropocene debates and the claimed incapacity of post-positivism to account for contemporary socio-natural transformations, the text embarks on two main goals. On the one hand, the article sketches a brief genealogy of processual and relational thinking, with a focus on International Relations (IR) literature. On the other hand, the text seeks to move forward critical engagements with the entangled grand narrative. To this end, the article exposes a problematic ontological assumption often overlooked by both entanglement fetishists and their critics: entanglements are infallibly generative, that is to say, they deterministically precipitate further beings and events. In doing so, the text invites IR scholarship to explore non-generative encounters and hence to address the question of the possibility of being without being in relation. Drawing from an unorthodox line of research, the article unearths non-relational, or beyond-the-relational, instances, whose engagement with an entangled world can only be materialised through the logics of subjugation. For this mode of being, the texts hints, non-engagement, refusal, and withdrawal become a form of political resistance and survival, thus distorting the controversial association between political subjectivity and emancipation.

I develop a novel account of how nonepistemic aims and values can appropriately influence scientific investigation. At its heart is a process of epistemic projection in which a nonepistemic aim or value is mapped to an epistemic research problem that aligns with that aim or value. Choices in research are then justified as a means of solving that research problem. This epistemic projection approach makes research responsive to nonepistemic aims and values yet remains consistent with the value-free ideal; it could be acceptable to parties on both sides of the values-in-science debate. It also promises to be useful in practice.

Most recent archaeological studies of prisoners of war have concentrated on resistance to confinement and identity creation within the camps. In contrast, the findings at Les Blanches Banques, Jersey, occupied by German military prisoners during the First World War, are here viewed through the lens of the varied placemaking strategies applied by both prisoners and camp staff. The prisoners created places of meaning within the regimented and confined conditions of their internment, but the guards were also limited by their duties in their assignment to this remote location, though all also saw the camp within its wider island landscape setting. This is the first study to consider placemaking at a prisoner of war camp at nested scales and from different perspectives.

We compare two standard approaches to defining lower Ricci curvature bounds for Riemannian metrics of regularity below $C^2$. These are, on the one hand, the synthetic definition via weak displacement convexity of entropy functionals in the framework of optimal transport, and the distributional one based on non-negativity of the Ricci-tensor in the sense of Schwartz. It turns out that distributional bounds imply entropy bounds for metrics of class $C^1$ and that the converse holds for $C^{1,1}$-metrics under an additional convergence condition on regularizations of the metric.

Archaeological and ethnohistorical investigations in the south of the Colombian Plateau, in the Eastern Highlands, suggest that before European contact Guatavita was an important Muisca chiefdom—largely because of the prestige conferred by the presence of ceremonial centers in their territories, especially around the lakes in the hills surrounding the Guatavita-Guasca Valley. The fame of Lake Guatavita as the most important Muisca shrine was fueled by Spanish chronicles during the sixteenth and seventeenth centuries, which described it as the core of mass offering ceremonies or of lavish rituals for the chief's investiture, which fed both the story and the myth of El Dorado. This article presents the results of the archaeological survey done around the lake. The type and distribution of the material culture suggest that there was a shrine where small-scale ritual offerings took place, rather than conspicuous celebrations.

In this paper, a new approach to modeling and controlling the problems associated with a morphing unmanned aerial vehicle (UAV) is proposed. Within the scope of the study, a dataset was created by obtaining a wide range of aerodynamic parameters for the UAV with Ansys Fluent under variable conditions using the computational fluid dynamics approach. For this, a large dataset was created that considered 5 different angles of attack, 14 different swept angles, and 5 different velocities. While creating the dataset, the analyses were verified by considering studies that have been experimentally validated in the literature. Then, an artificial intelligence-based model was created using the dataset obtained. Metaheuristic algorithms such as the artificial bee colony algorithm, ant colony algorithm and genetic algorithms are used to increase the modeling success of the adaptive neuro-fuzzy inference system (ANFIS) approach. A novel modeling approach is proposed that constitutes a new decision support system for real-time flight. According to the results obtained, all the ANFIS models based on metaheuristic algorithms were more successful than the traditional approach, the multilinear regression model. The swept angle that meets the minimum lift needed by the UAV for different flight conditions was estimated with the help of the designed decision support system. Thus, the drag force is minimised while obtaining the required lift force. The performance of the UAV was compared with the nonmorphing configuration, and the results are presented in tables and graphs.

With the patriation of the Constitution in 1982, the Supreme Court of Canada (SCC) inherited extraordinary political powers. In response to the Court's expanded power of judicial review, there was a sizeable increase in the number of political actors “intervening” in SCC cases. Scholars of Canadian law and politics are deeply divided on whether civil society participation in the courts—particularly as intervenors—is democratically legitimate. This important debate cannot be settled without an empirical evaluation of who intervenes. This research note provides an analysis of all the Charter cases heard by the SCC between 2013 and 2021. In contrast to the field's dominant theory on interest-group legal mobilization—the Court Party thesis—the findings reveal that equity-deserving interest groups, such as those representing women, have an irregular presence in Court. Instead, powerful actors such as governments and legal associations make up a majority of the “repeat player” intervenors. While further research is warranted, the research note concludes that without the maintenance of sufficient support structures, intervention may be unable to perform a democratizing function.

We observe that, in the eta-periodic motivic stable homotopy category, odd rank vector bundles behave to some extent as if they had a nowhere vanishing section. We discuss some consequences concerning $\operatorname {\mathrm {SL}}^c$-orientations of motivic ring spectra and the étale classifying spaces of certain algebraic groups. In particular, we compute the classifying spaces of diagonalisable groups in the eta-periodic motivic stable homotopy category.

In this paper, the pricing of equity warrants under a class of fractional Brownian motion models is investigated numerically. By establishing a new nonlinear partial differential equation (PDE) system governing the price in terms of the observable stock price, we solve the pricing system effectively by a robust implicit-explicit numerical method. This is fundamentally different from the documented methods, which first solve the price with respect to the firm value analytically, by assuming that the volatility of the firm is constant, and then compute the price with respect to the stock price and estimate the firm volatility numerically. It is shown that the proposed method is stable in the maximum-norm sense. Furthermore, a sharp theoretical error estimate for the current method is provided, which is also verified numerically. Numerical examples suggest that the current method is efficient and can produce results that are, overall, closer to real market prices than other existing approaches. A great advantage of the current method is that it can be extended easily to price equity warrants under other complicated models.

The Augustinian friary in Cambridge, England, was founded in the 1280s and dissolved in 1538. Investigations in 1908–9 and 2016–19 have revealed much of the friary cloister, with evidence for an initial late thirteenth–mid-fourteenth-century phase, a major phase of construction in the mid–late fourteenth century and some fifteenth-century construction. This paper will primarily consider what can be reconstructed of the claustral buildings, complemented by what is known of the rest of the friary site. The friary will also be contextualised in terms of mendicant beliefs and anti-fraternal criticisms.

In 1901, Correa Moylan Walsh gained renown for writing a groundbreaking monograph on index numbers. His contributions to monetary economics, however, though neglected, transcend his work on index numbers, which was conceived to serve more foundational concerns of his. Therefore, our aim is twofold. First, we want to recover Walsh’s role as an important early twentieth-century economist. Second, we intend to provide a wider account of his incursion into monetary economics. Our argument is that the cornerstone of Walsh’s approach to the science of money is not confined to index numbers but concerns his distinction between different kinds of economic value and the discussion regarding the kind of value that money should measure and store. As such, we identify Walsh’s 1903 book, The Fundamental Problem in Monetary Science, as his archetypical work.

The historiography of Venetian Greece has paid little attention to the colonial experience of Ithaca. While historians are served by extensive published documentary evidence for the administrations of the larger possessions in the region, the uncatalogued Venetian records at the state archive of Ithaca remain unstudied. The recent reopening of this archive has finally made it possible to survey its large Venetian collection and to provide an account of the role of the governors of Ithaca under Venetian rule. The seat of the governor was filled by Cephalonian nobles rather than by Venetian appointees in the manner of the larger Ionian islands. Here for the first time is presented a comprehensive list of Ithacan governors compiled from the Ithacan documents, together with further aid from research in the archives of Cephalonia and Venice. The account of the Ithacan governorship offered here aims to promote interest in the Ithacan archive of the Venetian administration and serve as a guide for future research into this neglected corner of the empire.

In May 2022, the Diocese of Northern California submitted resolution C028 to the 80th General Convention of The Episcopal Church, in which they asked for a repeal of Canon 1.17.7, which limits reception of Holy Communion to the baptized. While the resolution did not make it out of committee, it touched off a church-wide debate about the practice of communion without baptism, generally referred to as ‘open communion’. This article examines the nature of the debate in the summer of 2022, and highlights some issues around discussions concerning baptism and Eucharist in The Episcopal Church. It is hoped that in doing so, this will aid further dialogues in the Church about the practice of open communion.