Canonical integral models for Shimura varieties of toral type

We prove the Pappas-Rapoport conjecture on the existence of canonical integral models of Shimura varieties with parahoric level structure in the case where the Shimura variety is defined by a torus. As an important ingredient, we show, using the Bhatt-Scholze theory of prismatic $F$-crystals, that there is a fully faithful functor from $\mathcal{G}$-valued crystalline representations of Gal$(\bar{K}/K)$ to $\mathcal{G}$-shtukas over Spd$(\mathcal{O}_K)$, where $\mathcal{G}$ is a parahoric group scheme over $\mathbb{Z}_p$ and $\mathcal{O}_K$ is the ring of integers in a $p$-adic field $K$.Comment: Many minor revisions. 36 page

Can Small-Scale Poultry Initiatives Alleviate Food Insecurity and Increase Empowerment for Women in Economically Disadvantaged Areas?

In the summer of 2019, I, along with 8 other students from the University of Arkansas departed the United States for the Central American country of Belize. Despite our limited knowledge of what Belize held in store for us, we were enthusiastic about the coming months. While we had different projects, we all set out with the same universal question in mind. How can we use the knowledge we have gained through education to make a positive impact on the lives of people living in an impoverished town? Some of the members of our team worked alongside local businesses to develop business plans to increase profitability and efficiency and others worked with the local tourism office to bring in more visitors, and therefore revenue, into the town. I worked toward establishing a stable source of nutrition for the most underprivileged in the community. Specifically, our group set out to solve two problems that we observed in the community. The first being “Can small-scale agriculture and poultry initiatives improve the lives of people living under the poverty line?” The second being “Can we implement a project that also empowers the local women to take a more active role in providing for their families in a highly patriarchal society?” After much planning and research into the nature of these projects, we devised a way to encourage the expansion of our project by working with established organizations and illustrating the benefits of the project. This thesis paper describes how we set about solving these problems while explaining the important factors that we took into account and how we framed our project be successful in practice

GG-displays of Hodge type and formal pp-divisible groups

Let $G$ be a smooth group scheme over the $p$-adic integers with reductive generic fiber, and let $\mu$ be a minuscule cocharacter for $G$ which remains minuscule in a faithful representation of $G$. We show that the category of nilpotent $(G,\mu)$-displays over $p$-nilpotent rings $R$ embeds fully faithfully into the category of formal $p$-divisible groups over $R$ equipped with crystalline Tate tensors, and that the embedding becomes an equivalence when $R/pR$ has a $p$-basis \'etale locally. The definition of the embedding relies on the construction of a G-crystal (i.e., an exact tensor functor from representations of G to crystals in finite locally free $\mathcal{O}_{\text{Spec } R/ \mathbb{Z}_p}$-modules) associated to any adjoint nilpotent $(G,\mu)$-display, which extends the construction of the crystal associated to a nilpotent Zink display. As applications, we obtain an explicit comparison between the Rapoport-Zink functors of Hodge type defined by Kim and by B\"ueltel and Pappas, and we extend a theorem of Faltings regarding deformations of connected $p$-divisible groups with crystalline Tate tensors.Comment: 45 pages, comments welcome

Bilateral Tax Treaties and US Foreign Direct Investment Financing Modes

Though it is often claimed that bilateral tax treaties promote foreign direct investment (FDI), previous empirical studies do not support this view. Indeed, the literature provides mixed results where bilateral tax treaties have a positive impact on FDI flows in some studies and a negative impact in other studies. Using US FDI outflows disaggregated into financing modes, equity capital, reinvested earnings, and inter-company debt, we estimate fixed-effects quantile regression models that include controls for new tax treaties, existing treaties (in place prior to the start of the sample period), and the total number of tax treaties a host country has in effect. Results, in general, indicate that both new and existing US bilateral tax treaties are associated with lower FDI outflows to the host country, while the total number of treaties a host country has in place is associated with greater US FDI outflows to the host country. These results also hold for reinvested earnings flows and equity capital flows. For debt flows, however, existing treaties are associated with greater flows, while new treaties and the total number of host treaties show no consistent statistically significant effect

Doing More with Less: Exploring Batch Processing and Outsourcing in Academic Libraries

Doing more with less is a challenge facing all libraries. Staff sizes are trending down while technical services work load remains the same or is increasing; at the same time, there are new and emerging areas of focus for libraries. Grand Valley State University Libraries have made a commitment to exploring any opportunity to outsource or streamline workflows. Presenters will discuss specific examples that utilize outsourcing opportunities as well as batch processing to keep up with the work demand and benefit the library. Positives and negatives of these experiences will be explored. Factors to be discussed will include cost, staff time, quality of work, vendor, platform, and access issues. The audience can expect to learn what factors to consider in exploring outsourcing opportunities and how to identify the appropriate ways to streamline workflows through batch processing. The experience of the presenters will hopefully help others as they weigh these considerations

“Flip This House”: “Back of the House” Library Staff Engaging the Wider Campus Community

Procuring and describing content for discoverability are as important now as they ever have been, but we suggest that a successful organization should expect more from faculty and staff members. As technical skill sets become more in demand, “back of the house” staff need to step to the front. In this article we explore how two Grand Valley State University Libraries back of the house departments have partnered with other organizations on campus. Collaboration has reenergized the staff, raised the Libraries’s profile, and contributed to the Libraries’s overall success

Changes in Skiing and Snowboarding Injury Epidemiology and Attitudes to Safety in Big Sky, Montana, USA : A Comparison of 2 Cross-sectional Studies in 1996 and 2013

Peer reviewedPublisher PD

A Tannakian Framework for Displays and Rapoport-Zink Spaces

We develop a Tannakian framework for group-theoretic analogs of displays, originally introduced by Bültel and Pappas, and further studied by Lau. We use this framework to define Rapoport-Zink functors associated to triples (G, {μ}, [b]), where G is a flat affine group scheme over Zp and μ is a cocharacter of G defined over a finite unramified extension of Zp. We prove these functors give a quotient stack presented by Witt vector loop groups, thereby showing our definition generalizes the group-theoretic definition of Rapoport-Zink spaces given by Bültel and Pappas. As an application, we prove a special case of a conjecture of Bültel and Pappas by showing their definition coincides with that of Rapoport and Zink in the case of unramified EL-type local Shimura data