Pierre Schapira is a French mathematician who developed algebraic analysis as a member of Mikio Sato‘s school.
His main collaborator is 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)
links to coursenotes
Last revised on June 16, 2021 at 15:37:19. See the history of this page for a list of all contributions to it.