Affine Matsuki correspondence for sheaves

We lift the affine Matsuki correspondence between real and symmetric loop group orbits in affine Grassmannians to an equivalence of derived categories of sheaves. In analogy with the finite-dimensional setting, our arguments depend upon the Morse theory of energy functions obtained from symmetrizations of coadjoint orbits. The additional fusion structures of the affine setting lead to further equivalences with Schubert constructible derived categories of sheaves on real affine Grassmannians

E-payment Usage among Young Urban Chinese

The use of e-payment by young urban Chinese has grown exponentially in recent years. The purpose of this study is to investigate factors affecting individual usage of e-payments in a government-controlled market economy. The proposed research model was based on the technology acceptance model and was tested using regression analysis based on 325 college students in China. Results suggest that perceived benefit, self-efficacy, perceived quality, age and gender are significant predictors of e-payment usage and the percent of respondents’ personal monthly spend. The result provides practical implications for firms for promoting e-payment services in developed markets

Preventive Health Care, Social Influence, and Demographics on Lifestyle of Taiwanese Baby Boomers

Preventive health care information (PCHI) is a vital aspect of controlling the cost of healthcare and preventing unnecessary medical procedures. The purpose of this study is to examine how demographic variables (i.e., education, gender, age, employment status, and income level), health condition, health knowledge, and social influences (professional, peers, and family), affect lifestyle. Lifestyle is measured by a perceived lifestyle change question and a series of Likert-scale questions that are grouped into two variables, (i.e., healthy lifestyle and healthy actions). The study used data from 390 respondents in Taiwan. Both perceived health knowledge and peers were consistently found to be good predictors for all three types of lifestyle measures. Education, income level, and gender were found to be important predictors for some measures of lifestyle. Perceived health condition was found to be negatively related to healthy actions. This study confirms the importance of demographic variables, perceived health condition, perceived health knowledge, and social influence. These findings then suggest that further research is needed in order to ensure generalizability

Social Influence and Trial Willingness of Pecan in China

In view of the recent trade war and the ongoing adversarial relationship between the US and China, it is critical to understand more about China's rising pecan market. The purpose of this research was to investigate factors influencing purchase intentions of pecans in the Chinese collective culture. The proposed research model was based on social influence theory and Hofstede's culture definition and was evaluated using regression analysis based on 441 respondents from an urban center in China. Study results suggest that perceived authority trust and social influence are the two most important variables affecting peoples’ intentions to purchase pecans in China. Study results also provide an applied understanding of the typical person that is most likely to purchase pecans in China

MMP7 Shedding of Syndecan-1 Facilitates Re-Epithelialization by Affecting α2β1 Integrin Activation

Lung injury promotes the expression of matrix metalloproteinase-7 (MMP7, matrilysin), which is required for neutrophil recruitment and re-epithelialization. MMP7 governs the lung inflammatory response through the shedding of syndecan-1. Because inflammation and repair are related events, we evaluated the role of syndecan-1 shedding in lung re-epithelialization.Epithelial injury induced syndecan-1 shedding from wild-type epithelium but not from Mmp7(-/-) mice in vitro and in vivo. Moreover, cell migration and wound closure was enhanced by MMP7 shedding of syndecan-1. Additionally, we found that syndecan-1 augmented cell adhesion to collagen by controlling the affinity state of the alpha(2)beta(1) integrin.MMP7 shedding of syndecan-1 facilitates wound closure by causing the alpha(2)beta(1) integrin to assume a less active conformation thereby removing restrictions to migration. MMP7 acts in the lungs to regulate inflammation and repair, and our data now show that both these functions are controlled through the shedding of syndecan-1

Bulk Mediated Surface Diffusion: Non Markovian Desorption with Finite First Moment

Here we address a fundamental issue in surface physics: the dynamics of adsorbed molecules. We study this problem when the particle's desorption is characterized by a non Markovian process, while the particle's adsorption and its motion in the bulk are governed by a Markovian dynamics. We study the diffusion of particles in a semi-infinite cubic lattice, and focus on the effective diffusion process at the interface $z = 1$. We calculate analytically the conditional probability to find the particle on the $z=1$ plane as well as the surface dispersion as functions of time. The comparison of these results with Monte Carlo simulations show an excellent agreement.Comment: 16 pages, 7 figs. European Physical Journal B (in press

Coherent Springer theory and the categorical Deligne-Langlands correspondence

Kazhdan and Lusztig identified the affine Hecke algebra $\mathcal{H}$ with an equivariant $K$-group of the Steinberg variety, and applied this to prove the Deligne-Langlands conjecture, i.e., the local Langlands parametrization of irreducible representations of reductive groups over nonarchimedean local fields $F$ with an Iwahori-fixed vector. We apply techniques from derived algebraic geometry to pass from $K$-theory to Hochschild homology and thereby identify $\mathcal{H}$ with the endomorphisms of a coherent sheaf on the stack of unipotent Langlands parameters, the coherent Springer sheaf. As a result the derived category of $\mathcal{H}$-modules is realized as a full subcategory of coherent sheaves on this stack, confirming expectations from strong forms of the local Langlands correspondence (including recent conjectures of Hellmann and Zhu). We explain how this refines the more familiar description of representations, one central character at a time, in terms of categories of perverse sheaves (as previously observed in local Langlands over $\mathbb{R}$). In the case of the general linear group our result allows us to lift the local Langlands classification of irreducible representations to a categorical statement: we construct a full embedding of the derived category of smooth representations of $\mathrm{GL}_n(F)$ into coherent sheaves on the stack of Langlands parameters.Comment: 62 pages, improvements to main theorems, improved exposition. Comments appreciated