华罗庚青年数学论坛

华罗庚青年数学论坛报告:The microlocal theory of constructible sheaves (I)

发布时间:2026-07-27

中国科学院数学与系统科学研究院

数学研究所

数学科学全国重点实验室

华罗庚青年数学论坛报告

Speaker: 周童(麻省理工学院)

Inviter: 余红杰

Language: English

Title: The microlocal theory of constructible sheaves I

Time&Venue2026727日(星期14:00-15:00 晨兴MCM110

Abstract:The microlocal point of view says that the study of an object on a manifold benefits from systematic constructions involving the cotangent bundle. It was introduced by M. Sato in the 1960s in the field of partial differential equations, and has since spread to many other fields. In the main talk, I will introduce the basic ingredients of the microlocal theory of sheaves on manifolds as developed by M. Kashiwara and P. Schapira, then discuss developments and open questions in the analogous theories in the positive characteristic algebraic context and the non-Archimedean analytic context. The first is a pedagogical talk, where relevant notions like nearby and vanishing cycles, local acyclicity, and constructible sheaves will be discussed.


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