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Strings, Gauge Fields, and the Geometry Behind
This book contains exclusively invited contributions from collaborators of Maximilian Kreuzer, giving accounts of his scientific legacy and original articles from renowned theoretical physicists and mathematicians, including Victor Batyrev, Philip Candelas, Michael Douglas, Alexei Morozov, Joseph Polchinski, Peter van Nieuwenhuizen, and Peter West. Besides a collection of review and research articles from high-profile researchers in string theory and related fields of mathematics (in particular, algebraic geometry) which discuss recent progress in the exploration of string theory vacua and corresponding mathematical developments, this book contains a pedagogical account of the important work...
Facets of Algebraic Geometry
Written to honor the enduring influence of William Fulton, these articles present substantial contributions to algebraic geometry.
Facets of Algebraic Geometry: Volume 1
Written to honor the 80th birthday of William Fulton, the articles collected in this volume (the first of a pair) present substantial contributions to algebraic geometry and related fields, with an emphasis on combinatorial algebraic geometry and intersection theory. Featured topics include commutative algebra, moduli spaces, quantum cohomology, representation theory, Schubert calculus, and toric and tropical geometry. The range of these contributions is a testament to the breadth and depth of Fulton's mathematical influence. The authors are all internationally recognized experts, and include well-established researchers as well as rising stars of a new generation of mathematicians. The text aims to stimulate progress and provide inspiration to graduate students and researchers in the field.
Algebraic and Geometric Combinatorics
This volume contains original research and survey articles stemming from the Euroconference ``Algebraic and Geometric Combinatorics''. The papers discuss a wide range of problems that illustrate interactions of combinatorics with other branches of mathematics, such as commutative algebra, algebraic geometry, convex and discrete geometry, enumerative geometry, and topology of complexes and partially ordered sets. Among the topics covered are combinatorics of polytopes, lattice polytopes, triangulations and subdivisions, Cohen-Macaulay cell complexes, monomial ideals, geometry of toric surfaces, groupoids in combinatorics, Kazhdan-Lusztig combinatorics, and graph colorings. This book is aimed at researchers and graduate students interested in various aspects of modern combinatorial theories.
Defectors
"Defectors fleeing the Soviet Union seized the world's attention during the Cold War. Their stories were told in sensational news coverage and dramatized in spy novels and films. In contrast to other refugees, they were pursued by the states they left even as they were sought by the United States and other Western governments eager to claim them. Taking part in a risky game that played out across the globe, defectors sought to transcend the limitations of the Cold War world. The book follows their treacherous journeys and looks at how their unauthorized flight gave shape to a globalized world. It charts a global struggle over defectors that unfolded in a crowded courtroom in Paris, among riv...
Introduction to Tropical Geometry
Tropical geometry is a combinatorial shadow of algebraic geometry, offering new polyhedral tools to compute invariants of algebraic varieties. It is based on tropical algebra, where the sum of two numbers is their minimum and the product is their sum. This turns polynomials into piecewise-linear functions, and their zero sets into polyhedral complexes. These tropical varieties retain a surprising amount of information about their classical counterparts. Tropical geometry is a young subject that has undergone a rapid development since the beginning of the 21st century. While establishing itself as an area in its own right, deep connections have been made to many branches of pure and applied m...
Welsh Traditional Music
Welsh traditional music has, until now, been the 'Cinderella' of world music studies. Over the years, few English-language writers have paid it any attention, largely because the majority of the songs of Wales are in the Welsh language. Now, at last, that gap has been filled by an American. Phyllis Kinney's book, Welsh Traditional Music, will both delight and inform anyone with an interest in the subject, be they a general reader, an academic, or a performer. It covers the traditional music of Wales from its beginnings through to the present day and contains an extensive selection of more than 200 musical examples. The book not only includes musical analysis of many of the examples, but also...
