We will discuss some recent multi-scale method on incidence estimate for tubes and its application to oscillatory integrals.
The multi-scale method was developed by Keleti-Shmerkin, Orponen, Shmerkin, etc.
Links:
[1] https://www.mpim-bonn.mpg.de/de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/de/node/3444
[3] https://www.mpim-bonn.mpg.de/de/node/13202