Formality for the nilpotent cone and a derived Springer correspondence

Recall that the Springer correspondence relates representations of the Weyl group to perverse sheaves on the nilpotent cone. We explain how to extend this to an equivalence between the triangulated category generated by the Springer perverse sheaves and the derived category of differential graded modules over a dg-ring related to the Weyl group.Comment: 29 pages, a few corrections and changes in notatio

Perverse Sheaves on the Nilpotent Cone and Lusztig's Generalized Springer Correspondence

In this note, we consider perverse sheaves on the nilpotent cone. We prove orthogonality relations for the equivariant category of sheaves on the nilpotent cone in a method similar to Lusztig's for character sheaves. We also consider cleanness for cuspidal perverse sheaves and the generalized Lusztig--Shoji algorithm.Comment: 18 pages, minor typos correcte

The affine Grassmannian and the Springer resolution in positive characteristic

An important result of Arkhipov-Bezrukavnikov-Ginzburg relates constructible sheaves on the affine Grassmannian to coherent sheaves on the dual Springer resolution. In this paper, we prove a positive-characteristic analogue of this statement, using the framework of "mixed modular sheaves" recently developed by the first author and Riche. As an application, we deduce a relationship between parity sheaves on the affine Grassmannian and Bezrukavnikov's "exotic t-structure" on the Springer resolution.Comment: 50 pages; with an appendix joint with Simon Riche. v2: minor correction

Parity sheaves on the affine Grassmannian and the Mirkovi\'c-Vilonen conjecture

We prove the Mirkovi\'c-Vilonen conjecture: the integral local intersection cohomology groups of spherical Schubert varieties on the affine Grassmannian have no p-torsion, as long as p is outside a certain small and explicitly given set of prime numbers. (Juteau has exhibited counterexamples when p is a bad prime.) The main idea is to convert this topological question into an algebraic question about perverse-coherent sheaves on the dual nilpotent cone using the Juteau-Mautner-Williamson theory of parity sheaves.Comment: 27 pages. v4: added details to Section 2 and an appendix on sheaf functors on non-locally compact space

Mixed categories, formality for the nilpotent cone, and a derived Springer correspondence

Recall that the Springer correspondence relates representations of the Weyl group to perverse sheaves on the nilpotent cone. We explain how to extend this to an equivalence between the triangulated category generated by the Springer perverse sheaf and the derived category of di_x000B_erential graded modules over a dg-ring related to the Weyl grou

Action of the relative Weyl group on partial Springer sheaf

In the context of the Springer correspondence, the Weyl group action on the Springer sheaf can be defined in two ways: via restriction or the Fourier transform. It is well-known that these two actions differ by the sign character. This was proven by Hotta for sheaves with characteristic 0 coefficients in 1981, and more recently extended to arbitrary coefficients by Achar, Henderson, Juteau, and Riche in 2014. In this short article, we study an extension of this problem to the partial Springer sheaf with arbitrary field coefficients. This involves an action of the so-called relative Weyl group $W(L)$.Comment: 18 page

Transition of Care from the Emergency Department to the Outpatient Setting: A Mixed-Methods Analysis

Introduction: The goal of this study was to characterize current practices in the transition of care between the emergency department and primary care setting, with an emphasis on the use of the electronic medical record (EMR).  Methods: Using literature review and modified Delphi technique, we created and tested a pilot survey to evaluate for face and content validity. The final survey was then administered face-to-face at eight different clinical sites across the country. A total of 52 emergency physicians (EP) and 49 primary care physicians (PCP) were surveyed and analyzed. We performed quantitative analysis using chi-square test. Two independent coders performed a qualitative analysis, classifying answers by pre-defined themes (inter-rater reliability > 80%). Participants’ answers could cross several pre-defined themes within a given question.  Results: EPs were more likely to prefer telephone communication compared with PCPs (30/52 [57.7%] vs. 3/49 [6.1%] P < 0.0001), whereas PCPs were more likely to prefer using the EMR for discharge communication compared with EPs (33/49 [67.4%] vs. 13/52 [25%] p < 0.0001). EPs were more likely to report not needing to communicate with a PCP when a patient had a benign condition (23/52 [44.2%] vs. 2/49 [4.1%] p < 0.0001), but were more likely to communicate if the patient required urgent follow-up prior to discharge from the ED (33/52 [63.5%] vs. 20/49 [40.8%] p = 0.029). When discussing barriers to effective communication, 51/98 (52%) stated communication logistics, followed by 49/98 (50%) who reported setting/environmental constraints and 32/98 (32%) who stated EMR access was a significant barrier. Conclusion: Significant differences exist between EPs and PCPs in the transition of care process. EPs preferred telephone contact synchronous to the encounter whereas PCPs preferred using the EMR asynchronous to the encounter. Providers believe EP-to-PCP contact is important for improving patient care, but report varied expectations and multiple barriers to effective communication. This study highlights the need to optimize technology for an effective transition of care from the ED to the outpatient setting

Implementación plan estratégico RSE para servicios técnicos industriales de Colombia -SERVITEICOL SAS.

Tablas, Figuras, apéndice.El siguiente análisis se realizó en la empresa SERVITEICOL SAS situada en Aguachica Cesar, brindando un portafolio de fabricación y mantenimiento de productos elaborados en metal, obras civiles, metalmecánicas y eléctricas para el sector industrial y comercial. Esta empresa es reconocida en la zona, aun cuando es pequeña ha logrado tener reconocimiento brindando excelentes servicios en el diseño garantizando siempre seguridad y calidad. Dentro de la investigación llevada a cabo, se logró identificar la ausencia del programa de RSE (responsabilidad social empresarial), así como de una buena gerencia estratégica y falencias con respecto a relación que debe haber con los grupos de interés denominados como los Stakeholders, lo cual impide en el crecimiento corporativo y el cumplimiento del marco institucional; para ello aplicando la Norma ISO 26000 se pretende dar soluciones a los problemas y áreas identificadas que aportan en la construcción y el mejoramiento de las estrategias planteadas, incrementando ingresos y relaciones con su entornoThe following analysis was performed in the company SERVITEICOL SAS located in Aguachica Cesar, providing a portfolio of manufacturing and maintenance of products made in metal, civil works, metallurgical and electrical for the industrial and commercial sector. This company is recognized in the area, even though it is small it has achieved recognition by providing excellent services in the design always guaranteeing safety and quality. Within the research carried out, the absence of the CSR (corporate social responsibility) program was identified, as well as good strategic management and shortcomings regarding the relationship that must exist with the so-called stakeholders, which impedes corporate growth and compliance with the institutional framework; To this end, applying the ISO 26000 standard, the aim is to provide solutions to the problems and areas identified that contribute to the construction and improvement of the strategies proposed, increasing income and relations with their environmen