Moduli spaces of irregular singular connections

In the geometric version of the Langlands correspondence, irregular singular point connections play the role of Galois representations with wild ramification. In this paper, we develop a geometric theory of fundamental strata to study irregular singular connections on the projective line. Fundamental strata were originally used to classify cuspidal representations of the general linear group over a local field. In the geometric setting, fundamental strata play the role of the leading term of a connection. We introduce the concept of a regular stratum, which allows us to generalize the condition that a connection has regular semisimple leading term to connections with non-integer slope. Finally, we construct a symplectic moduli space of meromorphic connections on the projective line that contain a regular stratum at each singular point.Comment: 53 pages. A new section (Section 4.4) has been added making precise the relationship between formal types and isomorphism classes of formal connections. Significant revisions and additions have also been made to Sections 3.1 and 4.3 and the introduction to Section

Consumer Perceptions and Coping Strategies of Consumers Committed to Eating Local in Michigan (USA)

American consumers are presented with an increasing number of reasons to buy and eat local food products. One refers to the importance of the origin of the products they purchase. A second, and closely related reason, refers to being concerned about the food miles, or the distance foods have traveled from where they are grown or raised, to where they are purchased or consumed. If the act of "eating local" is often presented as beneficial and virtuous (for example, health, environment, community development and civic responsibility), it also embodies obstacles such as the time and sometimes skills required for both shopping and preparation. Such obstacles often discourage many from buying local fresh produce. This paper draws on the results of several focus groups with consumers in Michigan who are committed to eating local. The paper offers insights into how these consumers cope or balance their commitment to eating local with the constraints they face on buying and preparing local food. ...French Abstract : Les consommateurs des Etats-Unis sont de plus en plus incités à acheter et consommer des produits locaux. L'une des raisons est l'importance de l'origine des produits que l'on achète. Une autre raison est celle de la préoccupation par rapport aux " food miles " c'est à dire la distance parcourue par les produits entre la production et l'achat. Si le fait de consommer local est souvent présenté comme vertueux (pour la santé, l'environnement, le développement local ou la responsabilité sociale), il présente des obstacles tels que le temps passé et les compétences nécessaires pour les achats et la préparation. De tels obstacles peuvent décourager l'achat des produits locaux. Cet article présente les résultats de plusieurs focus groups avec des consommateurs du Michigan impliqués dans l'achat de produits locaux. Il permet de comprendre quelles sont les stratégies de coping utilisées par les consommateurs pour concilier leur engagement et les contraintes auxquelles ils doivent faire face lors de l'achat ou de la préparation des produits.LOCAL FOOD; CONSUMPTION; COPING STRATEGIES; CONSOMMATION; PRODUITS LOCAUX; STRATEGIES DE COPING

An algebraic treatment of quantum vibrations using REDUCE

AbstractMany eigenvalue problems that arise in mathematical physics and chemistry can be solved using the algebra of non-commuting operators. REDUCE can readily be used to perform the many time consuming algebraic manipulations necessary to find the solutions to these problems. Applications of REDUCE are given to the quantum mechanical one and two dimensional nearly harmonic oscillator using an algebraic approach

Economic Contributions of the Yellowstone River to Park County, Montana

On August 19, 2016, Montana’s Department of Fish, Wildlife and Parks (FWP) instituted a temporary emergency closure on a large extent of the Yellowstone River and its tributaries between the northern Yellowstone National Park boundary near Gardiner, MT and Laurel, MT, about 183 miles downriver. The closure applied to all water based recreation uses on the affected rivers and streams. FWP’s actions followed the identification of the presence of an invasive parasite known to cause proliferative kidney disease in mountain whitefish. FWP’s decision to institute the temporary closure was based not only on the observed presence of the parasite, but also a number of confounding conditions that may threaten longer term impacts if not effectively addressed. The temporary closure is likely to significantly impact both the recreational fishing and the guided river excursion industries, as August and September are both busy seasons. This white paper provides a summary of the contribution of water based activities (fishing, rafting, floating, canoeing, and kayaking) to the Montana economy in general, and a preliminary estimation of the potential impacts the 2-3 week Yellowstone closure had on the Park County economy

Some Legal Aspects of Special Assessments

Taxes have been defined as the enforced proportional contributions from persons and property levied by the state by virtue of its sovereignty for the support of the government and all public needs. The essential elements that we will notice particularly are two; first, that the contributions are proportional, that is, levied upon all in the same class according to some impartial standard, and second, that taxes can be levied for public purposes only

Visitor Characteristics and Economic Analysis of Northeast Montana

The northeast region of Montana receives by far the least amount of nonresident visitation to the state and is slowly losing population. While the oil boom related to the Bakken Shale improved the economic outlook for a few counties between 2010 and 2014, its sustainability as a consistent economic driver is questionable as demonstrated by the substantial drop in production since 2015 when oil prices globally declined. This paper reviews the current socioeconomic trends in northeast Montana - Montana’s Missouri River Country - in comparison to the state as a whole and identifies the current state of the counties in the region. Further, we identify where tourism fits into the region’s economy and suggest opportunities for its potential

Economics and Characteristics of Alpine Skiing in Montana - 2018-2019 Ski Season

Skier visits to Montana ski areas have seen year over year growth for the past four years and a generally positive trajectory for at least the past 30 years. This study surveyed skiers and snowboarders at 6 of Montana’s ski areas to collect information on skier demographics, characteristics, and spending behaviors. Montana ski areas as a whole are seeing increasing proportions of nonresident skiers. These skiers generated nearly $177 million in economic contribution and 1,970 jobs in the 2018/19 season