4 problems

Brauer $p$-dimension conjecture. Then

Tensor-product embedding conjecture. The algebra $\widetilde R$ is $K$-isomorphic to

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…

Let $K$ be the quotient field of an excellent, Henselian discrete valuation ring with algebraically closed residue field $k$, and let $X$ be a proper $K$-scheme. Esnault–Levine–Wit…