Lizhen Ji Knihy

Focusing on the insights of Professor Chen-Ning Yang, this collection features eight interviews that explore pivotal moments in 20th-century physics and mathematics. Through Yang's unique perspective, the book highlights the interplay between these disciplines, revealing the collaborative and competitive dynamics among renowned scientists. It also shares personal anecdotes and lesser-known stories from Yang's academic journey, offering a vivid portrayal of the scientific landscape and the individuals who shaped it.

Focusing on the compactification of noncompact symmetric and locally symmetric spaces, this book explores their significance across various mathematical fields such as analysis, number theory, algebraic geometry, and algebraic topology. It provides uniform constructions of known compactifications, emphasizing their geometric and topological structures. The work serves as a comprehensive guide to understanding these complex spaces and their applications, addressing the extensive literature on compactifications in a clear and structured manner.

The Erlangen program expresses a fundamental point of view on the use of groups and transformation groups in mathematics and physics. The present volume is the first modern comprehensive book on that program and its impact in contemporary mathematics and physics. Klein spelled out the program, and Lie, who contributed to its formulation, is the first mathematician who made it effective in his work. The theories that these two authors developed are also linked to their personal history and to their relations with each other and with other mathematicians, incuding Hermann Weyl, Élie Cartan, Henri Poincaré, and many others. All these facets of the Erlangen program appear in the present volume. The book is written by well-known experts in geometry, physics and history of mathematics and physics. It is addressed to mathematicians, to graduate students, and to all those interested in the development of mathematical ideas.