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This volume contains the proceedings of the ICM 2018 satellite school and workshop K-theory conference in Argentina. The school was held from July 16–20, 2018, in La Plata, Argentina, and the workshop was held from July 23–27, 2018, in Buenos Aires, Argentina. The volume showcases current developments in K-theory and related areas, including motives, homological algebra, index theory, operator algebras, and their applications and connections. Papers cover topics such as K-theory of group rings, Witt groups of real algebraic varieties, coarse homology theories, topological cyclic homology, negative K-groups of monoid algebras, Milnor K-theory and regulators, noncommutative motives, the classification of C∗-algebras via Kasparov's K-theory, the comparison between full and reduced C∗-crossed products, and a proof of Bott periodicity using almost commuting matrices.
Part One of this book covers the abstract foundations of Grothendieck duality theory for schemes in part with noetherian hypotheses and with some refinements for maps of finite tor-dimension. Part Two extends the theory to the context of diagrams of schemes.
This volume collects presentations from the international workshop on local cohomology held in Guanajuato, Mexico, including expanded lecture notes of two minicourses on applications in equivariant topology and foundations of duality theory, and chapters on finiteness properties, D-modules, monomial ideals, combinatorial analysis, and related topics. Featuring selected papers from renowned experts around the world, Local Cohomology and Its Applications is a provocative reference for algebraists, topologists, and upper-level undergraduate and graduate students in these disciplines.
The fifth volume of the Posen Library demonstrates through a rich array of texts and images the extraordinary diversity of Jewish life during the early modern period "A rich and varied gateway into the primary source material of early modern Jewish history that is very strong on geographical diversity. A magnificent achievement."--Adam Sutcliffe, King's College London The Posen Library of Jewish Culture and Civilization, Volume 5, covering the early modern period (1500-1750), presents a variety of Jewish texts to demonstrate the diversity of Jewish culture and life. These texts originate from Eastern and Western Europe, the Americas, the Ottoman Empire, North Africa, Kurdistan, Persia, Yemen...
This two volume work on Positivity in Algebraic Geometry contains a contemporary account of a body of work in complex algebraic geometry loosely centered around the theme of positivity. Topics in Volume I include ample line bundles and linear series on a projective variety, the classical theorems of Lefschetz and Bertini and their modern outgrowths, vanishing theorems, and local positivity. Volume II begins with a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications. A good deal of this material has not previously appeared in book form, and substantial parts are worked out here in detail for the first time. At least a third of the book is devoted to concrete examples, applications, and pointers to further developments. Volume I is more elementary than Volume II, and, for the most part, it can be read without access to Volume II.
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A sweeping chronicle of Jewish life in the Tar Heel State from colonial times to the present, this beautifully illustrated volume incorporates oral histories, original historical documents, and profiles of fascinating individuals. The first comprehensive social history of its kind, Down Home demonstrates that the story of North Carolina Jews is attuned to the national story of immigrant acculturation but has a southern twist. Keeping in mind the larger southern, American, and Jewish contexts, Leonard Rogoff considers how the North Carolina Jewish experience differs from that of Jews in other southern states. He explores how Jews very often settled in North Carolina's small towns, rather than...