Wild Character Research Articles

Wild monodromy of the Fifth Painlevé equation and its action on wild character variety: an approach of confluence

Wild monodromy of the Fifth Painlevé equation and its action on wild character variety: an approach of confluence

Arithmetic and metric aspects of open de Rham spaces

AbstractIn this paper, we determine the motivic class — in particular, the weight polynomial and conjecturally the Poincaré polynomial — of the open de Rham space, defined and studied by Boalch, of certain moduli spaces of irregular meromorphic connections on the trivial rank bundle on . The computation is by motivic Fourier transform. We show that the result satisfies the purity conjecture, that is, it agrees with the pure part of the conjectured mixed Hodge polynomial of the corresponding wild character variety. We also identify the open de Rham spaces with quiver varieties with multiplicities of Yamakawa and Geiss–Leclerc–Schröer. We finish with constructing natural complete hyperkähler metrics on them, which in the four‐dimensional cases are expected to be of type ALF.

Codifying Wildness: Wild Behaviour for Improving Human-Robot Interaction

Animals, even when domesticated, maintain a series of innate characteristics that humans perceive as wild. Human responses to animal behavior vary with many factors such as historical time and culture. Even after their domestication, humans perceive animals’ distinctive behavior patterns that are considered as being wild, even in pets. It is common understanding that these wild patterns are linked to the specific animal species but also that there is a common characteristic to wild behavior in general. In this paper, we present our work on coding such a quality, exemplified in an application to robot pets. We consider that an application of wild character in the behavior of the pet robot can improve its realism and make the human/robot social interaction more captivating. To this aim, we have designed and implemented a behavioral architecture to reproduce well-known behavioral patterns of domestic cats that might be considered wild and applied it to a commercial pet robot that then was used to assess human reaction to its behavior. We demonstrate the effectiveness of the proposed approach with experiments carried out with humans that found the robot cat “independent” and “unpredictable” to a significant degree, two distinctive features of the wild side of animals.

175 Persistence and Serendipity: The Ecological Recovery of North American Bison Populations

Abstract Bison or buffalo were once the dominant herbivore that impacted the ecology and landscape of North American grassland and forest ecosystems from Alaska to Mexico prior to European colonization. By the early 20th century they were almost extirpated in the wild with two exceptions; in the areas that eventually became Yellowstone and Wood Buffalo national parks. Since then, private individuals, NGOs, government agencies and indigenous peoples have collaborated to restore these populations, but significant hurdles remain to achieving full ecological recovery of the species; a vision which was articulated in a landmark paper in Conservation Biology in 2008 (Sanderson et al 2008 - The Ecological Future of the North American Bison: Conceiving Long-Term, Large-Scale Conservation of Wildlife). Unfortunately, bison have been virtually erased from most people’s consciousness and imagination for over a century now, making restoration efforts for the largest land mammal on the continent particularly challenging. Despite this, several locations have had remarkable success in re-establishing wild, free-ranging bison populations in Canada, the US and Mexico over the past two decades. Bison populations have recently been re-established in Banff National Park, Alaska, and Yakutia (Siberia) and there are plans to restore populations on tribal and indigenous lands in both Canada and the US in the next 10 years. The signing of the Buffalo Treaty in 2014 was the impetus for many of the current restoration efforts on tribal and indigenous lands and indigenous groups are heavily involved in shared stewardship of these transboundary bison populations. While commercially raised bison have very different goals and vastly outnumber their wild counterparts, who are managed for ecological restoration and conservation, both groups have several shared values relating to the long-term goal of maintaining and increasing the overall number of bison in North America as well as maintaining their wild character.

Stokes Manifolds and Cluster Algebras

Stokes' manifolds, also known as wild character varieties, carry a natural symplectic structure. Our goal is to provide explicit log-canonical coordinates for these natural Poisson structures on the Stokes' manifolds of polynomial connections of rank $2$, thus including the second Painlev\'e\ hierarchy. This construction provides the explicit linearization of the Poisson structure first discovered by Flaschka and Newell and then rediscovered and generalized by Boalch. We show that, for a connection of degree $K$, the Stokes' manifold is a cluster manifold of type $A_{2K}$. The main idea is then applied to express explicitly also the log--canonical coordinates for the Poisson bracket introduced by Ugaglia in the context of Frobenius manifolds and then also applied by Bondal in the study of the symplectic groupoid of quadratic forms.

Euler continuants in noncommutative quasi-Poisson geometry

AbstractIt was established by Boalch that Euler continuants arise as Lie group valued moment maps for a class of wild character varieties described as moduli spaces of points on$\mathbb {P}^1$by Sibuya. Furthermore, Boalch noticed that these varieties are multiplicative analogues of certain Nakajima quiver varieties originally introduced by Calabi, which are attached to the quiver$\Gamma _n$on two vertices andnequioriented arrows. In this article, we go a step further by unveiling that the Sibuya varieties can be understood using noncommutative quasi-Poisson geometry modelled on the quiver$\Gamma _n$. We prove that the Poisson structure carried by these varieties is induced, via the Kontsevich–Rosenberg principle, by an explicit Hamiltonian double quasi-Poisson algebra defined at the level of the quiver$\Gamma _n$such that its noncommutative multiplicative moment map is given in terms of Euler continuants. This result generalises the Hamiltonian double quasi-Poisson algebra associated with the quiver$\Gamma _1$by Van den Bergh. Moreover, using the method of fusion, we prove that the Hamiltonian double quasi-Poisson algebra attached to$\Gamma _n$admits a factorisation in terms ofncopies of the algebra attached to$\Gamma _1$.

Bartók and the Violin Music of Maramureș

Abstract The Second Rhapsody, one of Bartók’s technically most demanding concert pieces for violin, arranges archaic-improvisatory bagpipe imitations for concert performance. The arrangement itself shows a well-designed, coherent structure: the succession of dances, tonally and motivically related between each other, outline a kind of evolutionary progression from free motive-structure to strophic form. Bagpipe-music had a long-term influence on Bartók’s violin music, figuring as episodes in original works like the two Violin Sonatas or the Violin Concerto; but none exploits the genre to such an extent as the Second Rhapsody. The violin pieces with motive-structure of fascinatingly wild and virtuoso character were among Bartók’s major discoveries of the collecting trips to the Maramureş region. For the Rhapsody Bartók chose melodies from the one-time Ugocsa county, whose music, closely related to that of Maramureş county, was considered by him “the most interesting in our country [i.e., Hungary of the time], due exactly to its primitive character.” In Maramureş these melodies are less eccentric; instead, the violinists have a broader and more varied repertoire of dance music. In my article I discuss the different types of violin music of this region, focusing on structural, melodic, or interpretational elements that were of special interest for the composer. For this investigation I have made use of the primary sources of the respective collections: phonogram recordings, field notations, later transcriptions.

Running Wild: Environmental Attitudes of Long-Distance Runners in the Icelandic Highlands

An increasing number of sports events are taking place in wilderness and mountain areas. The Laugavegur Ultra Marathon (LUM) is one such event. It follows the 55-km (34.2-mile) route of the Laugavegur trail in the southern Icelandic highlands. The trail has been selected as one of the world's most scenic long-distance hiking trails by many of the world's leading travel media. This paper focuses on LUM runners' attitudes toward environmental issues to identify their values as a group and to examine whether there are different attitudes between Icelandic and international runners. An online survey was distributed to all participants finishing the race in 2018, a total of 553 runners; the response rate was 45.2%. The results reveal that most runners participating in LUM were running for their own personal goals and challenges, using the trail's wilderness setting as a driver to reach their target. As a group, the runners had relatively ecocentric orientations. With regard to environmental values, however, there was a large difference between Icelandic and international runners. The Icelandic runners significantly favored anthropocentric orientations, preferring more infrastructure and services along the route, compared with international runners, who preferred the wild character of the route. When it comes to planning sports events in natural settings, such as mountain marathons in wilderness areas, it is important to raise the environmental awareness of both users and event organizers. Moreover, to sustain the wilderness character of the trail, it is beneficial to attract more runners who have an ecocentric view.

Jump sets in local fields

We show how to use the combinatorial notion of jump sets to parametrize the possible structures of the group of principal units of local fields, viewed as filtered modules. We establish a natural bijection between the set of jump sets and the orbit space of a p-adic group of filtered automorphisms acting on a free filtered module. This, together with a Markov process on Eisenstein polynomials, culminates into a mass-formula for unit filtrations. The proof leads in many cases to explicit invariants of Eisenstein polynomials, yielding a link between the filtered structure of the unit group and ramification theory. Finally, with the theory of filtered modules developed here, we recover, with a more conceptual proof, a classification, due to Miki, of the possible sets of upper jumps of a wild character: these are all jump sets, with a set of exceptions explicitly prescribed by the jump set of the local field and the size of its residue field.

Cultural and Historical Significance of the Imanjusip Heritage

When it comes to “sal” and “seri”, it is limited only to talking about their singing, composing, wrestling qualities and their predilection for the fair sex. But the question seems to be different. Analyzing their life path, you become a witness to a beautiful life that ends tragically. How can you assess the adversities of fate that have not spared any of them? Well-known Birzhan Sal was tortured. Akan Seri's favorite steed, Kulager, was wounded, losing his mind as a result. Madi and Imanjusip were eventually killed by being put behind bars. If we analyze the history of mankind from the very beginning, we can see that some people are born with a wild character and their lives developed differently from those of others. They were also created by Allah. People who think they're smart think they're helpless lunatics. The authors suggest that their peculiarities lie in their special nature. “Sal” and “Seri” have elevated the Kazakh culture with their diverse art. The authors believe that they have made a huge contribution to the promotion of nomadic culture. The article discusses the reflections on this topic.

Twisted spectral correspondence and torus knots

Cohomological invariants of twisted wild character varieties as constructed by Boalch and Yamakawa are derived from enumerative Calabi–Yau geometry and refined Chern–Simons invariants of torus knots. Generalizing the untwisted case, the present approach is based on a spectral correspondence for meromorphic Higgs bundles with fixed conjugacy classes at the marked points. This construction is carried out for twisted wild character varieties associated to [Formula: see text] torus knots, providing a colored generalization of existing results of Hausel, Mereb and Wong as well as Shende, Treumann and Zaslow.

Cluster varieties from Legendrian knots

Many interesting spaces --- including all positroid strata and wild character varieties --- are moduli of constructible sheaves on a surface with microsupport in a Legendrian link. We show that the existence of cluster structures on these spaces may be deduced in a uniform, systematic fashion by constructing and taking the sheaf quantizations of a set of exact Lagrangian fillings in correspondence with isotopy representatives whose front projections have crossings with alternating orientations. It follows in turn that results in cluster algebra may be used to construct and distinguish exact Lagrangian fillings of Legendrian links in the standard contact three space.

Arithmetic and representation theory of wild character varieties

We count points over a finite field on wild character varieties of Riemann surfaces for singularities with regular semisimple leading term. The new feature in our counting formulas is the appearance of characters of Yokonuma–Hecke algebras. Our result leads to the conjecture that the mixed Hodge polynomials of these character varieties agree with the previously conjectured perverse Hodge polynomials of certain twisted parabolic Higgs moduli spaces, indicating the possibility of a P=W conjecture for a suitable wild Hitchin system.

P-193 - RAS status in Algerian metastatic colorectal cancer

Introduction: The identification of genetic anomalies within the cancerous cells today constitutes very valuable information to guide the diagnosis, the classification, the choice and the monitoring of the treatment for a growing number of cancers. Mutations in the gene RAS are found in meadows of half of the colorectal cancers and their research is therefore of paramount importance for the therapeutic care and the choice of a targeted therapy appropriate. Methods: It is a retrospective study, from records of patients followed in Medical Oncology Department, for a metastatic colorectal cancer, based on the study of bio molecular RAS status; from March 2016 to November 2017. 89 cases were collected; the parameters studied were: age, histological type, location, status NRAS, KRAS and the degree of tumor infiltration. Results: Of the 89 cases studied, the average age of discovery was 59 years old (40-77). The histological type adenocarcinoma represented 100% (n = 89) of cases. In 36.92% (n = 24) of the cases the localization was colic; 9.23% (n = 6) of cases were rectal and 3.06% (n = 2). The KRAS wild was in 51.68% (n = 46) of cases, in 19.10% (n = 17) at the level of exons 2, 3, 4 and at the level of the: codon 12 in 19.10% (n = 17), codon 13 in 17.97% (n = 16. The NRAS was wild in 46,06% (n = 41) of cases; in 17.97% (n = 16) at the level of exons 2, 3, 4 and posted in 3.37% (n = 3) of the cases, at the level of: the exon 2.4 in 2.24% (n = 2) and the exon 3 in 1.12% (n = 1).The average of the tumor infiltration was 66% (40% - 90%). The response to treatment was different (right versus left) and patients achieved treatment in more than 80% of cases. DISCUSSION: It is necessary to raise the percentage of the wild character at the beginning for the KRAS and the interest of the anti-EGFR. The development of the technique of the research of the NRAS has regained less wild suggesting that some of the non-responses to anti-EGFR are probably due to this difference in the determination of the Full RAS; deserving all the interest of the clinician in the support of adequate patients. Conclusion: The targeted therapies constitute a major evolution in digestive cancer. Before the effects very promising of these drugs, other molecules of the same therapeutic classes (anti-VEGF, anti EGFR) are in course of development and will probably to further the therapeutic effects.

BPS States, Torus Links and Wild Character Varieties

A string theoretic framework is constructed relating the cohomology of wild character varieties to refined stable pair theory and torus link invariants. Explicit conjectural formulas are derived for wild character varieties with a unique irregular point on the projective line. For this case the string theoretic construction leads to a conjectural colored generalization of existing results of Hausel, Mereb and Wong as well as Shende, Treumann and Zaslow.

TV is the Devil, the Devil is on TV: Wild Religion and Wild Media in South Africa

In keeping with trends in the academy and the rapidly increasing presence, power, and persuasion of digital and electronic media on the African continent and in the global economy, the study of religion and the media in South Africa has become a flourishing field of intellectual inquiry. The expanse of the field in terms of approaches, both methodological and theoretical, demonstrates the multiple and complex interactions between religion and the media in a diverse range of societies and settings. In light of its recent history of apartheid and transition into democracy in the middle 1990s, when paradigmatic constitutional and political changes took place in which the relationship between religion and the media was reconstituted, the South African context, in particular, is ripe for exploring media technology and practices in relation to the political economy of the sacred. This essay pays tribute to David Chidester by testing the possibilities of his theory of 'wild religion' against two vignettes of wild media in South Africa. The first, characterized as TV is the devil explores the apartheid government's pre-emptive religiously saturated ban on television. The second example, described as the devil is on TV assesses viewers' responses to the television program, Lucifer. I argue that when read with Chidester's theorization of the 'wild ambivalence of the sacred', these examples evoke the hitherto under-explored wild character of both religion and the media.

Local curves, wild character varieties, and degenerations

Conjectural results for cohomological invariants of wild character varieties are obtained by counting curves in degenerate Calabi-Yau threefolds. A conjectural formula for E-polynomials is derived from the Gromov-Witten theory of local Calabi-Yau threefolds with normal crossing singularities. A refinement is also conjectured, generalizing existing results of Hausel, Mereb and Wong as well as recent joint work of Donagi, Pantev and the author for weighted Poincar\'e polynomials of wild character varieties.

Eliciting non-monetary values of formal and informal urban green spaces using public participation GIS

When green spaces compete with other forms of land use, especially in dense urban settings, their creation and maintenance need to be extensively justified. Very often the utilitarian arguments, such as reference to recreational uses or air quality improvement, are seen as the most convincing to illustrate the importance of green spaces for cities. However, people derive many other benefits from urban green spaces, many of which elude such a simplified practical focus. In this paper, we present an analysis of the values and important attributes that urban residents assign to green spaces. The data were collected in three cities in Poland: Krakow, Lodz and Poznan, using a public participation GIS approach—an online geo-questionnair. Overall, 1640 people took part in the survey. The results exhibit a wide spectrum of values associated with urban green spaces, emphasizing the importance of the multiple cultural and anthropogenic aspects associated with urban green spaces. The study illustrates differences in the valuation of formal and informal green spaces. The latter include all the areas that are not formally demarcated or have an uncertain land tenure status. Places valued for their greenness, pleasant views, uniqueness, wild character and role as natural habitats are predominantly marked outside of formal green spaces. We highlight the challenges in the classification of urban green spaces and the need to identify and address informal green spaces in urban green space governance.

Normal supercharacter theories and their supercharacters

In order to find a tractable theory to substitute for the wild character theory of the group of n×n unipotent upper-triangular matrices over a finite field Fq, André and Yan introduced the notion of supercharacter theory. In this paper, we construct a supercharacter theory from an arbitrary set S of normal subgroups of G. We call such supercharacter theory the normal supercharacter theory generated by S. It is shown that normal supercharacter theories are integral, and a recursive formula for supercharacters of the normal supercharacter theory is provided. Also, we indicate that the superclasses of the normal supercharacter theory generated by all normal subgroups of G are given by certain values on the primitive central idempotents. We study the connection between the finest normal supercharacter theory and faithful irreducible characters. Moreover, an algorithm is presented to construct the supercharacter table of the finest normal supercharacter theory from the character table. Finally, we argue that normal supercharacter theories cannot be obtained by previously known supercharacter theory constructions.

The Value of Forever Wild: An Economic Analysis of Land Use in the Adirondacks

The Adirondacks are one of our nation’s most interesting experiments in conservation. Comprised of approximately 6.1 million acres, the Adirondacks are located in Northern New York in an area that is made up of great forest tracts with thousands of miles of lakefront, rivers, streams, brooks, and 42 peaks that are over 4,000 feet above sea level. In this article we develop an econometric model using sales transactions between 2001 and 2009 in the twelve counties that comprise the Adirondack Park to investigate how land use classifications, and the corresponding development restrictions, affect private property values. Simultaneously, we explore how the ecological amenities provided by the land use regulations also are capitalized into property values. The issues raised in this article touch on elements that are central to the ongoing debate over land use restrictions in the Adirondacks. Increased development within the Park would inarguably change the Adirondacks. As these debates continue, stakeholders on both sides are looking for answers about how land use restrictions have affected the Park both economically and environmentally. This article provides evidence that land use restrictions as well as the amenities provided by wild land do impact private property values. Furthermore, we find that proximity to small population centers, recreational opportunities, and impacts from human activities also play a role in prices.