Comparing skew Schur functions: a quasisymmetric perspective

Reiner, Shaw and van Willigenburg showed that if two skew Schur functions sA and sB are equal, then the skew shapes $A$ and $B$ must have the same "row overlap partitions." Here we show that these row overlap equalities are also implied by a much weaker condition than Schur equality: that sA and sB have the same support when expanded in the fundamental quasisymmetric basis F. Surprisingly, there is significant evidence supporting a conjecture that the converse is also true. In fact, we work in terms of inequalities, showing that if the F-support of sA contains that of sB, then the row overlap partitions of A are dominated by those of B, and again conjecture that the converse also holds. Our evidence in favor of these conjectures includes their consistency with a complete determination of all F-support containment relations for F-multiplicity-free skew Schur functions. We conclude with a consideration of how some other quasisymmetric bases fit into our framework.

The Effects of Hibernation on Immunological Functions in Female Big Brown Bats (Eptesicus fuscus)

The emerging disease White-Nose Syndrome in hibernating bat populations across the United States has increased the need to understand the physiological benefits and consequences of hibernation and the effects on immunological responsiveness. Hibernation has been well-documented in many mammalian species, yet few studies have examined hibernation immunology in bats, particularly with respect to normal immunological patterns. In order to characterize the levels of circulating leukocytes and plasma immunoglobulins in euthermic and hibernating female big brown bats (Eptesicus fuscus), blood smear differential leukocyte counts and total immunoglobulin assays were performed for each group using blood samples from the active and hibernation seasons. Hibernation patterns – torpor and arousals from torpor – were determined by placing temperature-sensitive dataloggers on the backs of bats assigned to the hibernating group during the hibernation season. Data indicate that the ratio of circulating neutrophils to lymphocytes is lower in bats assigned to the euthermic group during the hibernation season than in bats assigned to the hibernation group during the hibernation period, but that relative immunoglobulin levels do not differ during the hibernation season, regardless of whether bats were active or hibernating. Neither bats assigned to the hibernation group nor bats assigned to the euthermic group demonstrate a significant change in the ratio of circulating neutrophils and lymphocytes between their active and hibernating seasons. Bats assigned to the hibernation group were also observed to arouse from torpor somewhat synchronously. These results suggest that innate and adaptive cell levels are maintained, at best, in hibernating bats that are not immunologically challenged and that bats that remain euthermic during the hibernation season are able to continually regulate their levels of neutrophils and lymphocytes and therefore their innate and adaptive immune system responses.

Bacchus and Civic Order: The Culture of Drink in Early Modern Germany / Bacchus und die bürgerliche Ordnung. Die Kultur des Trinkens im frühneuzeitlichen Augsburg

Lining the streets inside the city's gates, clustered in its center, and thinly scattered among its back quarters were Augsburg's taverns and drinking rooms. These institutions ranged from the poorly lit rooms of backstreet wine sellers to the elaborate marble halls frequented by society's most privileged members. Urban drinking rooms provided more than food, drink, and lodging for their guests. They also conferred upon their visitors a sense of social identity commensurate with their status. Like all German cities, Augsburg during the sixteenth and seventeenth centuries had a history shaped by the political events attending the Reformation, the post-Reformation, and the Thirty Years' War; its social and political character was also reflected and supported by its public and private drinking rooms. In Bacchus and Civic Order: The Culture of Drink in Early Modern Germany, Ann Tlusty examines the social and cultural functions served by drinking and tavern life in Germany between 1500 and 1700, and challenges existing theories about urban identity, sociability, and power. Through her reconstruction of the social history of Augsburg, from beggars to council members, Tlusty also sheds light on such diverse topics as social ritual, gender and household relations, medical practice, and the concerns of civic leaders with public health and poverty. Drunkenness, dueling, and other forms of tavern comportment that may appear "disorderly" to us today turn out to be the inevitable, even desirable result of a society functioning according to its own rules.