“Strong Regularity and Microsupport Estimates for Microlocalizations of Subanalytic Sheaves”
Mercoledì 14 Maggio 2025, ore 11:00 - Aula 1BC50 - Ryosuke Sakamoto (Hokkaido University)
Abstract
Kashiwara and Schapira introduced the microlocal theory of sheaves and the notion of the microsupport, which formalizes singularities via sheaf theory. It describes the directions in which a sheaf cohomology can vary, offering a powerful tool to analyze singularities of differential equations. To handle objects with growth conditions, recent developments have brought concepts such as ind-sheaves and subanalytic sheaves. In this talk, we introduce the notion of strong regularity for subanalytic sheaves and present microsupport estimates for their microlocalizations. If time permits, we will also touch upon the multi-microlocalization theory of Honda, Prelli and Yamazaki.
