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Dis//integration

Dis//Integration, a previously unpublished work by William Melvin Kelley, author of A Different Drummer, is a notable and welcome addition to African American literature. The linked "2 novelas, 3 stories, and a little play" that make up DIS//INTEGRATION follow the life journeys of Charles "Chig" Dunford from his Nanny Eva sermonizing from her front porch, when he is only seventeen, to his peripatetic studies in Reupeo (an anagram of Europe) as a college student, to his unsettled bachelorhood as an English professor at a small Vermont college, where he continues to struggle to finish his life-long study of theReupeonese author Dupukshamin and find true love. Along the way, as Chig's sentimental education unfolds, we meet an array of memorable characters: John Hoenir, the Hemingway-esque expatriate novelist who takes Chig under his wing; Wendy Whitman, an actress passing for white, who breaks Chig's heart; Merry, his troubled teen-age niece who Chig, in middle-age, agrees to look after; Raymond Winograd, the villainous department chair; Renka Bravo, the alluring dancer who might just make Chig an honest man; and one hundred Africans mysteriously chained together in the lower decks of Chig's homeward-bound transatlantic liner. DIS//INTEGRATION is an odyssey through time in which past and future combine and re-combine to give the arc of a full life.

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Motivic Integration

This monograph focuses on the geometric theory of motivic integration, which takes its values in the Grothendieck ring of varieties.This theory is rooted in a groundbreaking idea of Kontsevich and was further developed by Denef & Loeser and Sebag.It is presented in the context of formal schemes over a discrete valuation ring, without any restriction on the residue characteristic.The text first discusses the main features of the Grothendieck ring of varieties, arc schemes, and Greenberg schemes.It then moves on to motivic integration and its applications to birational geometry and non-Archimedean geometry.Also included in the work is a prologue on p-adic analytic manifolds, which served as a model for motivic integration.With its extensive discussion of preliminaries and applications, this book is an ideal resource for graduate students of algebraic geometry and researchers of motivic integration.It will also serve as a motivation for more recent and sophisticated theories that have been developed since.

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