Our blood would rise up & drive them away: Slaveholding Women of South Carolina in the Civil War

Southern slaveholding women during the Civil War are usually portrayed as either Eve or the Virgin Mary. They are either depicted as staunch patriotic wives and mothers who out of love suffered and sacrificed most of their worldly goods for the Cause, or as weak-willed creatures who gave up on the war, asked their men to come home, and concerned themselves with getting pretty dresses from the blockade runners and dancing at elaborate balls and bazaars. This latter view, which seems cut so superficially from Gone With the Wind, is nevertheless one that is common in Civil War scholarship today. Confederate women are seen as individuals who whimsically stopped supporting the war the moment it inflicted a moment of consumer inconvenience on them, leading historians to suggest that women, with their slipping morale, symbolized the weak Confederate nationalism that helped erode the will of Southern citizens to continue the war. It is thus imperative to understand the role of women in the South and their relationship to the war in order to understand if their actions helped to contribute to the defeat of the Confederacy

Combinatorial Formulas for Macdonald and Hall-Littlewood Polynomials of Types A and C. Extended Abstract

A breakthrough in the theory of (type A) Macdonald polynomials is due to Haglund, Haiman and Loehr, who exhibited a combinatorial formula for these polynomials in terms of fillings of Young diagrams. Recently, Ram and Yip gave a formula for the Macdonald polynomials of arbitrary type in terms of the corresponding affine Weyl group. In this paper, we show that a Haglund-Haiman-Loehr type formula follows naturally from the more general Ram-Yip formula, via compression. Then we extend this approach to the Hall-Littlewood polynomials of type C, which are specializations of the corresponding Macdonald polynomials at q=0. We note that no analog of the Haglund-Haiman-Loehr formula exists beyond type A, so our work is a first step towards finding such a formula

Alcove path and Nichols-Woronowicz model of the equivariant KK-theory of generalized flag varieties

Fomin and Kirillov initiated a line of research into the realization of the cohomology and $K$-theory of generalized flag varieties $G/B$ as commutative subalgebras of certain noncommutative algebras. This approach has several advantages, which we discuss. This paper contains the most comprehensive result in a series of papers related to the mentioned line of research. More precisely, we give a model for the $T$-equivariant $K$-theory of a generalized flag variety $K_T(G/B)$ in terms of a certain braided Hopf algebra called the Nichols-Woronowicz algebra. Our model is based on the Chevalley-type multiplication formula for $K_T(G/B)$ due to the first author and Postnikov; this formula is stated using certain operators defined in terms of so-called alcove paths (and the corresponding affine Weyl group). Our model is derived using a type-independent and concise approach

Almost Periodically Correlated Time Series in Business Fluctuations Analysis

We propose a non-standard subsampling procedure to make formal statistical inference about the business cycle, one of the most important unobserved feature characterising fluctuations of economic growth. We show that some characteristics of business cycle can be modelled in a non-parametric way by discrete spectrum of the Almost Periodically Correlated (APC) time series. On the basis of estimated characteristics of this spectrum business cycle is extracted by filtering. As an illustration we characterise the man properties of business cycles in industrial production index for Polish economy