Microlocal sheaf theory and the work of Pierre Schapira
Lisbon, 14 June 2023
Lisbon, 14 June 2023
If you want to register please send an e-mail to: fiorot(at)math.unipd.it
Place: Room 6.2.33 (building C6, Faculdade de Ciências, Universidade de Lisboa)
Microlocal sheaf theory, mainly based on the notion of microsupport of sheaves, is a creation of M. Kashiwara and P. Schapira after M. Sato’s foundational ideas. Beyond its application to the study of systems of linear partial differential equations (D-modules), P. Schapira and his collaborators used microlocal sheaf theory to bring light and progress to many areas: analysis (Sobolev spaces), symplectic geometry and topology (connection with Tamarkin’s results), deformation by quantization, regular and irregular holonomic D-modules, Ind-sheaves, persistent homology, and the list is not exhaustive.
The aim of this journey is to present recent results which were influenced by Schapira’s work.
UIDB/04561/2020