nLab Pierre Schapira

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.

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Selected writings

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:

• Masaki Kashiwara, Pierre Schapira, Sheaves on manifolds, Grundlehren 292, Springer (1990) [doi:10.1007/978-3-662-02661-8]

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, pdf]

On Alexander Grothendieck‘s Récoltes et semailles:

• Pierre Schapira, A truncated manuscript, Inference-Review.com 7 3 (Dec 2022) [arXiv:2301.02898, doi:10.37282/991819.22.61]

category: people