3 problems

Archimedean specialization of Shelah's conjecture. Then $K$ is real closed.

Shelah's conjecture for NIP real fields. Any NIP real field is almost real closed.

Let $K$ be an infinite NIP field. NIP-field conjecture. Then $K$ is separably closed, real closed, or admits a non-trivial henselian valuation. This conjecture generalizes the Stab…