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Jan Nagel is a rather obscure artist. Relatively little of his work has survived - six paintings, four drawings and three prints all told - and biographical details are similarly sparse. The Frans Hals Museum owns one painting, a picture of 'Mary Magdalen', by this elusive character. On her lap is a Bible, on which Nagel has inscribed his name and the date 1592. The painting was restored in 2004. Last year we were surprised and delighted to receive a second painting by Jan Nagel, 'The Flood', as a long-term loan from a private collector. Over the last six months the painting has undergone radical restoration. To mark the restoration of this extraordinary work, the museum is staging a focus exhibition, accompanying this publication. (Exhibition: Frans Hals Museum, Haarlem, 22 April - 17 July 2011).

The systematic use of Koszul cohomology computations in algebraic geometry can be traced back to the foundational work of Mark Green in the 1980s. Green connected classical results concerning the ideal of a projective variety with vanishing theorems for Koszul cohomology. Green and Lazarsfeld also stated two conjectures that relate the Koszul cohomology of algebraic curves with the existence of special divisors on the curve. These conjectures became an important guideline for future research. In the intervening years, there has been a growing interaction between Koszul cohomology and algebraic geometry. Green and Voisin applied Koszul cohomology to a number of Hodge-theoretic problems, with remarkable success. More recently, Voisin achieved a breakthrough by proving Green's conjecture for general curves; soon afterwards, the Green-Lazarsfeld conjecture for general curves was proved as well. This book is primarily concerned with applications of Koszul cohomology to algebraic geometry, with an emphasis on syzygies of complex projective curves. The authors' main goal is to present Voisin's proof of the generic Green conjecture, and subsequent refinements. They discuss the geometric aspects of the theory and a number of concrete applications of Koszul cohomology to problems in algebraic geometry, including applications to Hodge theory and to the geometry of the moduli space of curves.

The theory of motives was created by Grothendieck in the 1960s as he searched for a universal cohomology theory for algebraic varieties. The theory of pure motives is well established as far as the construction is concerned. Pure motives are expected to h

Are the political ideals of liberty and equality compatible? This question is of central and continuing importance in political philosophy, moral philosophy, and welfare economics. In this book, two distinguished philosophers take up the debate. Jan Narveson argues that a political ideal of negative liberty is incompatible with any substantive ideal of equality, while James P. Sterba argues that Narveson's own ideal of negative liberty is compatible, and in fact leads to the requirements of a substantive ideal of equality. Of course, they cannot both be right. Thus, the details of their arguments about the political ideal of negative liberty and its requirements will determine which of them is right. Engagingly and accessibly written, their debate will be of value to all who are interested in the central issue of what are the practical requirements of a political ideal of liberty.

A self-contained account of the subject of algebraic cycles and motives as it stands.

Abstract: A search for squarks and gluinos in final states containing hadronic jets, missing transverse momentum but no electrons or muons is presented. The data were recorded in 2015 by the ATLAS experiment in s√=13 TeV proton-proton collisions at the Large Hadron Collider. No excess above the Standard Model background expectation was observed in 3.2 fb−1 of analyzed data. Results are interpreted within simplified models that assume R-parity is conserved and the neutralino is the lightest supersymmetric particle. An exclusion limit at the 95 % confidence level on the mass of the gluino is set at 1.51 TeV for a simplified model incorporating only a gluino octet and the lightest neutralino, assuming the lightest neutralino is massless. For a simplified model involving the strong production of mass-degenerate first- and second-generation squarks, squark masses below 1.03 TeV are excluded for a massless lightest neutralino. These limits substantially extend the region of supersymmetric parameter space excluded by previous measurements with the ATLAS detector