Abstract

The classical Riemann-Hilbert correspondence is about an equivalence between D-modules andconstructible sheaves. D-modules can be considered as a specialization of D,-modules, the lattelis a deformation guantization of T"*M. Can we upgrade Riemann-Hilbert correspondence to Dhsetting? An expected answer has a very rich structure involving sheaf quantization, Fukayacategory, exact WKB/resurgent analysis, and etc. In this talk, ld like to explain these things