On the hbar-Riemann-Hilbert program
Organizers
Pengfei Huang
,
Tao Su
, Hao Sun
Speaker
Tatsuki Kuwagaki
Time
Wednesday, May 22, 2024 4:00 PM - 5:00 PM
Venue
A3-2-303
Online
Zoom 242 742 6089
(BIMSA)
Abstract
The classical Riemann-Hilbert correspondence is about an equivalence between $D$-modules and constructible sheaves. $D$-modules can be considered as a specialization of $D_h$-modules, the latter is a deformation quantization of $T^*M$. Can we upgrade Riemann-Hilbert correspondence to $D_h$-setting? An expected answer has a very rich structure involving sheaf quantization, Fukaya category, exact WKB/resurgent analysis, and etc. In this talk, I’d like to explain these things.