William Fulton Livres

From the ancient origins of algebraic geometry in the solutions of polynomial equations, through the triumphs of algebraic geometry during the last two centuries, intersection theory has played a central role. The aim of this book is to develop the foundations of this theory, and to indicate the range of classical and modern applications. Although a comprehensive history of this vast subject is not attempted, the author points out some of the striking early appearances of the ideas of intersection theory. Fulton's intersection theory is still the only existing complete modern treatise of the subject and received the Steele Prize for best exposition in August 1996.

Geechi Suede and Sonny Cheeba are Camp Lo. These two emcees from the Bronx, NY entered the American hip hop scene with an insider slang that bewildered listeners as they radiated the look of a bygone era of black culture. In 1996, they collaborated with producer Ski and a host of other contributors to create Uptown Saturday Night, featuring the seminal single “Luchini (a.k.a. This is It).” While other 1990s rappers referred to 1970s Blaxploitation culture, Camp Lo were self-described “time travelers” who weaved the slang and style of a soulful past into state-of-the-art lyrical flows. Uptown Saturday Night is a tapestry of 1970s black popular culture and 1990s New York City hip hop. This volume will detail how the album's fantastic world of “Coolie High” reflected classic films like Cooley High and the Sidney Poitier film from which the album's title is derived, and promoted vintage slang and fashion. The book features new interviews with Camp Lo, producer Ski, Trugoy the Dove from De La Soul, Ish from Digable Planets, and others, and offers musical and cultural analyses that detail the development of the album and its essential contributions to a post-soul aesthetic.

The author develops the combinatorics of Young tableaux and shows them in action in the algebra of symmetric functions, representations of the symmetric and general linear groups, and the geometry of flag varieties. The intuitive presentation and numerous exercises make the book suitable for beginning graduate students as well as researchers.

Through twelve insightful essays, the author examines the evolution of urban planning in Los Angeles, highlighting the consequences of prioritizing short-term political and financial interests. Topics include dubious real estate practices, subway development, the aftermath of the 1992 riots in South Central, and the rise of Las Vegas as a rival metropolis. The author argues that to improve the city's livability, it is essential to challenge the prevailing mindset of "cocoon citizenship" and recognize the interconnectedness of Los Angeles's diverse communities.

Rather than choosing one point of view of modem topology (homotopy theory, simplicial complexes, singular theory, axiomatic homology, differ- ential topology, etc.), we concentrate our attention on concrete prob- lems in low dimensions, introducing only as much algebraic machin- ery as necessary for the problems we meet.

The book offers an insightful look into local governance through the blogs of Bill Fulton, who documented his experiences as a City Council member in Ventura, California. Initially intended to summarize council meetings, the blog evolved into a vivid portrayal of the challenges faced by part-time elected officials in tough times. It captures the emotional and practical realities of public service, making it a compelling read for those interested in local politics and the intricacies of urban planning.

Targeting first- and second-year graduate students in mathematics, this text delves into essential techniques for algebraic geometry and combinatorics. It provides a comprehensive introduction to equivariant cohomology, featuring numerous exercises and examples to reinforce understanding. The book emphasizes core concepts and their applications, making it a valuable resource for both students and researchers in the field.

William Fulton breadth of experience and renowned writing on cities come together in this collection of essays on the importance of place.

Schubert varieties and degeneracy loci have a long history in mathematics, starting from questions about loci of matrices with given ranks. These notes, from a summer school in Thurnau, aim to give an introduction to these topics, and to describe recent progress on these problems. There are interesting interactions with the algebra of symmetric functions and combinatorics, as well as the geometry of flag manifolds and intersection theory and algebraic geometry.