Finite subgroups of simple algebraic groups with irreducible centralizers

We determine all finite subgroups of simple algebraic groups that have irreducible centralizers - that is, centralizers whose connected component does not lie in a parabolic subgroup.Comment: 24 page

Strengthening Fairness and Funding in the Canada Pension Plan: Is Raising the Retirement Age an Option?

This paper seeks to contribute to a forward-looking debate on possible reform options for the Canada Pension Plan (CPP) and the Quebec Pension Plan (QPP). Even though it focuses on the CPP, most of its analysis applies to the QPP as well since the two programs are largely identical. This paper does not provide a broad survey of all possible reform options, but rather analyzes one vital option that has received insufficient attention in previous debates: raising the normal retirement age from 65 to 67 years. A discussion of this option is warranted not only because it could prevent future financing problems in Canada’s public pension insurance programs, but also because it could improve fairness across generations. The significant increase in life expectancy raises the question of whether the current retirement ages of 60 years, for earliest CPP and QPP benefits, and 65 years, for full benefits, are too low. Should future generations pay for the longevity increases of the current generation of workers, or should current workers share the costs by retiring at a later age? We conclude that raising the normal age from 65 to 67 years—and the earliest age from 60 to 62 years—is a financially effective, intergenerationally fair, and politically acceptable option for improving the CPP and for addressing the QPP’s problems. We suggest that the option of raising the retirement age needs to be discussed well before longevity increases or funding problems occur and that a broad consultation with stakeholders and citizens would be an essential part of a debate on raising the retirement age in Canada.pension systems, pensions, retirement, retirement age, life expectancy, Canada

Sovereignty and Coinage in Classical Greece

This book examines the common assumption that coins were produced in classical Greece to serve as symbols of the political sovereignty of the state, much like flags of modern nations. Since the beginning of modern numismatics studies, scholars have used this assumption to establish the chronology of numerous Greek coinages and, in turn, to make hypotheses about important historical events, especially the intervention in Greek affairs of Philip II, Alexander the Great, and their early successors. The author challenges the standard opinion , refuting the notion that a conquered state automatically lost its right of coinage and establishing that the minting of classical Greek coinage was primarily motivated by economic concerns.https://crossworks.holycross.edu/hc_books/1002/thumbnail.jp

Transparency and the Marketplace for Student Data

Student lists are commercially available for purchase on the basis of ethnicity, affluence, religion, lifestyle, awkwardness, and even a perceived or predicted need for family planning services. This study seeks to provide an understanding of the commercial marketplace for student data and the interaction with privacy law. Over several years, Fordham CLIP reviewed publicly-available sources, made public records requests to educational institutions, and collected marketing materials received by high school students. The study uncovered and documents an overall lack of transparency in the student information commercial marketplace and an absence of law to protect student information.https://ir.lawnet.fordham.edu/clip/1003/thumbnail.jp

Sulla Imperator Iterum : the Samnites and Roman republican coin propaganda

A large number of inscriptions surviving from the late Roman Republic testify to the abiding interest that public figures of the time had in publicizing themselves. By proclaiming their own achievements and those of their families in inscribed texts, displayed as conspicuously as possible, Romans with ambitions could create the kind of personal publicity which apparently helped to advance their status and careers. The most conspicuous publicity was generated by inscriptions placed on public monuments; the most widely circulated publicity, however, was generated by the inscriptions and small relief sculptures which appeared on coins. Since people at all levels of society handled coins in their everyday lives, they were constantly exposed to the messages that coins could be made to bear

Quasirandom Load Balancing

We propose a simple distributed algorithm for balancing indivisible tokens on graphs. The algorithm is completely deterministic, though it tries to imitate (and enhance) a random algorithm by keeping the accumulated rounding errors as small as possible. Our new algorithm surprisingly closely approximates the idealized process (where the tokens are divisible) on important network topologies. On d-dimensional torus graphs with n nodes it deviates from the idealized process only by an additive constant. In contrast to that, the randomized rounding approach of Friedrich and Sauerwald (2009) can deviate up to Omega(polylog(n)) and the deterministic algorithm of Rabani, Sinclair and Wanka (1998) has a deviation of Omega(n^{1/d}). This makes our quasirandom algorithm the first known algorithm for this setting which is optimal both in time and achieved smoothness. We further show that also on the hypercube our algorithm has a smaller deviation from the idealized process than the previous algorithms.Comment: 25 page

Do Childhood Vaccines Have Non-Specific Effects on Mortality

A recent article by Kristensen et al. suggested that measles vaccine and bacille Calmette–Guérin (BCG) vaccine might\ud reduce mortality beyond what is expected simply from protection against measles and tuberculosis. Previous reviews of the potential effects of childhood vaccines on mortality have not considered methodological features of reviewed studies. Methodological considerations play an especially important role in observational assessments, in which selection factors for vaccination may be difficult to ascertain. We reviewed 782 English language articles on vaccines and childhood mortality and found only a few whose design met the criteria for methodological rigor. The data reviewed suggest that measles vaccine delivers its promised reduction in mortality, but there is insufficient evidence to suggest a mortality benefit above that caused by its effect on measles disease and its sequelae. Our review of the available data in the literature reinforces how difficult answering these considerations has been and how important study design will be in determining the effect of specific vaccines on all-cause mortality.\u