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.
On microlocalization of abelian sheaves and Grothendieck's yoga of six operations:
On category theory and sheaf and topos theory:
Masaki Kashiwara, Pierre Schapira, Categories and Sheaves, Grundlehren der Mathematischen Wissenschaften 332, Springer (2006)
Pierre Schapira, An Introduction to Categories and Sheaves, lecture notes (2023) [pdf]
On Alexander Grothendieck‘s Récoltes et semailles:
Last revised on October 21, 2023 at 07:13:00. See the history of this page for a list of all contributions to it.