The Deligne-Simpson problem for connections on Gm\mathbb{G}_m with a maximally ramified singularity

The classical additive Deligne-Simpson problem is the existence problem for Fuchsian connections with residues at the singular points in specified adjoint orbits. Crawley-Boevey found the solution in 2003 by reinterpreting the problem in terms of quiver varieties. A more general version of this problem, solved by Hiroe, allows additional unramified irregular singularities. We apply the theory of fundamental and regular strata due to Bremer and Sage to formulate a version of the Deligne-Simpson problem in which certain ramified singularities are allowed. These allowed singular points are called toral singularities; they are singularities whose leading term with respect to a lattice chain filtration is regular semisimple. We solve this problem in the important special case of connections on $\mathbb{G}_m$ with a maximally ramified singularity at $0$ and possibly an additional regular singular point at infinity. We also give a complete characterization of all such connections which are rigid, under the additional hypothesis of unipotent monodromy at infinity.Comment: 27 pages. Minor correction

The Australasian Resuscitation In Sepsis Evaluation : fluids or vasopressors in emergency department sepsis (ARISE FLUIDS), a multi-centre observational study describing current practice in Australia and New Zealand

Objectives: To describe haemodynamic resuscitation practices in ED patients with suspected sepsis and hypotension. Methods: This was a prospective, multicentre, observational study conducted in 70 hospitals in Australia and New Zealand between September 2018 and January 2019. Consecutive adults presenting to the ED during a 30-day period at each site, with suspected sepsis and hypotension (systolic blood pressure <100 mmHg) despite at least 1000 mL fluid resuscitation, were eligible. Data included baseline demographics, clinical and laboratory variables and intravenous fluid volume administered, vasopressor administration at baseline and 6- and 24-h post-enrolment, time to antimicrobial administration, intensive care admission, organ support and in-hospital mortality. Results: A total of 4477 patients were screened and 591 were included with a mean (standard deviation) age of 62 (19) years, Acute Physiology and Chronic Health Evaluation II score 15.2 (6.6) and a median (interquartile range) systolic blood pressure of 94 mmHg (87–100). Median time to first intravenous antimicrobials was 77 min (42–148). A vasopressor infusion was commenced within 24 h in 177 (30.2%) patients, with noradrenaline the most frequently used (n = 138, 78%). A median of 2000 mL (1500–3000) of intravenous fluids was administered prior to commencing vasopressors. The total volume of fluid administered from pre-enrolment to 24 h was 4200 mL (3000–5661), with a range from 1000 to 12 200 mL. Two hundred and eighteen patients (37.1%) were admitted to an intensive care unit. Overall in-hospital mortality was 6.2% (95% confidence interval 4.4–8.5%). Conclusion: Current resuscitation practice in patients with sepsis and hypotension varies widely and occupies the spectrum between a restricted volume/earlier vasopressor and liberal fluid/later vasopressor strategy

Role of biomechanics in the understanding of normal, injured, and healing ligaments and tendons

Ligaments and tendons are soft connective tissues which serve essential roles for biomechanical function of the musculoskeletal system by stabilizing and guiding the motion of diarthrodial joints. Nevertheless, these tissues are frequently injured due to repetition and overuse as well as quick cutting motions that involve acceleration and deceleration. These injuries often upset this balance between mobility and stability of the joint which causes damage to other soft tissues manifested as pain and other morbidity, such as osteoarthritis

Children of Uncertain Fortune: Mixed-Race Migration from the West Indies to Britain, 1750-1820.

This dissertation shows that the migration of mixed-race individuals from the Caribbean to Britain between 1750 and 1820 helped to harden British attitudes toward those of African descent. The children of wealthy, white fathers and both free and enslaved women of color, many left for Britain in order to escape the deficiencies and bigotry of West Indian society. This study traces the group’s origin in the Caribbean, mainly Jamaica, to its voyage and arrival in Britain. It argues that the perceived threats of these migrants’ financial bounty and potential to marry and reproduce in Britain helped to collapse previous racial distinctions in the metropole which had traditionally differentiated along class and status lines and paved the way for a more monolithic racial viewpoint in the nineteenth century. This study makes three major contributions to the history of the British Atlantic. First, it provides a thorough examination of the West Indies’ elite population of color, showing its connection to privileged white society in both the Caribbean and Britain. Those who moved to the metropole lend further proof to the agency and influence of such individuals in the Atlantic world. Second, it expands the notion of the British family at the turn of the nineteenth century. Through analyses of wills, inheritance disputes, and correspondence, this project reveals the regularity of British legal and personal interaction with relatives of color across the Atlantic, as well as with those who resettled in the metropole. Third, it allows for a material understanding of Atlantic racial ideologies. By connecting popular discussions in the abolition debate and the sentimental novel to biographical accounts of mixed-race migrants, British notions of racial difference are more strongly linked to social reality. Uncovering an entirely new cohort of British people of color and its members’ lived experiences, this dissertation provides crucial insight into the tightening of British and Atlantic racial attitudes.Ph.D.HistoryUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.lib.umich.edu/bitstream/2027.42/77875/1/livesayd_1.pd

Correction: RESPECT-ED: Rates of Pulmonary Emboli (PE) and sub-segmental PE with modern computed tomographic pulmonary angiograms in emergency departments: A multi-center observational study finds significant yield variation, uncorrelated with use or small PE rates (PLoS ONE (2016) 11:12 (e0166483) DOI: 10.1371/journal.pone.0166483)

© 2017 Mountain et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Although there are multiple corrections to both formatting and some content in Tables and Figures, and some minor changes to reported results and analysis, none of these corrections alter any major findings, discussions or conclusions from the initial study. There are a number of errors in Table 2. Row M should appear after Row L. The values in the column “Adult ED patients during study” are incorrect. “ED Admits during study (%)*” values are incorrect in rows B, C, E, F, and L. “CTPA (n) per site” values are incorrect in rows C, E, H, K, L, M, and N. The “CTPA/ 1000 ED admits” and “CTPA +ve for PA /1000 adults$” values in row L are incorrect. Please see the corrected Table 2 below. Totals and means have been recalculated, as necessary. There are multiple errors in Table 3. The “Large PE n as (%) +ve CTPA” values are incorrectly duplicated for the “Small PE n as (%) of +ve CTPA” values in rows D, E, F, G, H, and N. The “Totals (95%CI)” value in the column “SSPE n as (%) of +ve CTPA” is incorrectly duplicated in the “Small PE n as (%) of +ve CTPA” column. “Totals (95%CI)” in column “Yield % +ve PE” is incorrect. There are minor discrepancies throughout the table in comparison to the source data. Please see the corrected Table 3 below. Totals and means have been recalculated, as necessary. Fig 3 contains two data point errors. Please see the corrected Fig 3 here. There are a number of errors throughout the article. In the Abstract, the first sentence of the Results section should read: Fourteen radiology departments (15 ED) provided 7075 CTPA data (94% =64-slice CT); PE were reported in 1033 (yield 14.6% (95%CI 13.8–15.4%; range 9.3–25.3%; site variation p &lt;0.0001) with four sites significantly below and one above the 15.3% target. The first two sentences of the “Site demographics /characteristics” section of the Results should read: Fourteen reporting sites (but 15 EDs, as two ED had centralised reporting as a single unit) provided consecutive data for 7075 ED ordered CTPAs. Numbers ranged from 324 to 1056 CTPA per site, over 8 months to 2 year periods (from 01/2012 to 02/2015), with the exception of site F which provided consecutive data from twelve years of CTPA use (from 2002), due to lower usage rates in a smaller adult ED population. The second paragraph of the same section should read: Of the 7062 CTPA with complete demographic data, 3870 were performed in females (54.8% vs 45.2% males), p&lt;0.001 for difference of 9.6% (CI 7.95–11.25%)) and the mean age was 60.0 years (CI 59.6–60.4, SD 16.6). Yield was significantly lower amongst females (12.1%; CI 11.3–12.9%) than males (17.6%; CI 16.7–18.5%); p &lt; 0.0001 for difference in proportions. The mean age of those with a positive scan was 61.5 (SD = 15.6) vs. 59.7 (SD = 16.7) years for negative scans (p &lt;0.001 for difference). The paragraph of the “SSPE/ small PE.” section of the Results should read: Table 3 and Fig 1. SSPE (isolated or multiple) were 8.8% (CI 7.1–10.5%) of all diagnosed PE with prevalence ranging from 2.0 to 15.9% of diagnosed PE, with only three marginally significant differences on pairwise comparisons. Variation in small PE prevalence ranged from 10.8 vs 21.1% and no comparisons were significantly different. Variation in the rates of diagnosed SSPE as a proportion of all CTPA’s performed ranged from 0.2–2.5% between sites, and small PE from 1.0% to 3.4%. Some differences were marginally significant but consistent with expected statistical variation when performing multiple comparisons. The last sentence in the “Other potentially important correlations/ associations” section of the Results should read: There was however a positive linear correlation (r = 0.822, p = &lt;0.001) between rates of CTPA usage and rates of PE diagnosed per 1000 adult attendances. The first sentence of the second paragraph in the “Key findings” section of the Discussion should read: The overall proportion of SSPE was 8.8%, ranging from 2.0–15.9% of all PE diagnosed, but the more inclusive small PE grouping found no significant variation (10.2–21.1%). The fourth sentence of the “Comparison of key findings with previous literature” section of the Discussion should read: Our study found yields occasionally dropped just below 10% (2/14 sites), but 50% of sites had yields below the suggested UK target of 15.3%, with an overall population yield of 14.6% (upper CI:15.4%)