You can follow along here:
https://android-review.googlesource.com/c/platform/frameworks/support/+/1845786
Compose typically jumps Kotlin versions in the androidx repository a couple of days after the stable release, and then releases a couple weeks after the stable release. Compose-multiplatform (the Jetbrains build) typically releases a version compatible with the new Kotlin within a few days of the new Kotlin release, shortly after it is merged into the androidx repository tree.