Pierre Schapira Libri

Focusing on the study of sheaves through microlocal methods, this book serves both as a reference and a textbook for this emerging field. It includes a historical overview of sheaf theory, highlighting significant developments that will benefit students and engage specialists. The blend of accessible explanations and in-depth analysis makes it an enjoyable read for those interested in the evolution of this mathematical concept.

Categories and sheaves appear almost frequently in contemporary advanced mathematics. This book covers categories, homological algebra and sheaves in a systematic manner starting from scratch and continuing with full proofs to the most recent results in the literature, and sometimes beyond. The authors present the general theory of categories and functors, emphasizing inductive and projective limits, tensor categories, representable functors, ind-objects and localization.

This book presents a comprehensive exploration of the Riemann-Hilbert correspondence, focusing on holonomic D-modules, including those that are not necessarily regular. It utilizes the framework of indsheaves to provide a unified approach, making it suitable for advanced readers interested in modern mathematical theories and applications. The text delves into the intricate relationships between algebraic geometry and differential equations, offering a valuable resource for researchers and students in the field.

InhaltsverzeichnisRappels.Cohomologie des faisceaux.Hyperfonctions.Opérateurs elliptiques.Résultats divers.Valeurs au bord des fonctions holomorphes.