nLab
Pierre Schapira

Pierre Schapira is a french mathematician who developed algebraic analysis as a member of Sato’s school, with main collaborator Masaki Kashiwara. Together, they developed microlocalization of sheaves and ind-sheaves, expanding Sato’s groundbreaking ideas to a complete categorical toolbox to do analysis in a purely (ind)-sheaf theoretical setting.

The theory of microlocalization of (ind)-sheaves was developed in the following works:

• Masaki Kashiwara, Pierre Schapira, Ind-sheaves, distributions and microlocalization, describes the program.
• Masaki Kashiwara, Pierre Schapira, Florian Ivorra, Ingo Waschkies Microlocalization of ind-sheaves, gives the main results and proofs.
• Masaki Kashiwara, Pierre Schapira Ind-sheaves, SMF, gives a complete account of the theory.

The two pedagogical books written with Kashiwara:

• Masaki Kashiwara, Pierre Schapira, Sheaves on manifolds, Springer (this book describes, among other topics, the author’s theory of microlocalization of sheaves)

• Masaki Kashiwara, Pierre Schapira, Categories and sheaves, Grundlehren der Mathematischen Wissenschaften 332, Springer (2006)

More on his work can be found on:

• homepage

• links to coursenotes

category: people