4 problems

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Serre–Oesterlé rationality conjecture for the liftable Poincaré series
Serre–Oesterlé conjecture. $\tilde{P}(T)$ is a rational function of $T$ .
Conjecturesolvedp-adic-integration p-adic-model-theoryarXiv posted 2 days ago
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A C-minimal analogue with a nowhere differentiable power function
C-minimal analogue conjecture. There is some $\alpha\in\mathbb{C}_p$ and an algebraically closed subfield $M\subseteq\mathbb{C}_p$ closed under $f_\alpha$ such that the structure…
Conjectureopenc-minimality differentiability p-adic-model-theoryarXiv posted 2 days ago
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The non-semisimplicity conjecture for groups locally strongly internal to $K/{\mathcal O}$
Non-semisimplicity conjecture. There exists an infinite, normal, abelian subgroup $N\trianglelefteq G$ such that
Conjectureopendefinable-groups p-adic-model-theory valued-fieldsarXiv posted 2 days ago
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Haskell–Macpherson's local monotonicity conjecture for P-minimal structures
Let $K$ be a $p$ -adically closed field, let $(K,\mathcal{L})$ be a $P$ -minimal structure, and let $X\subseteq K$ . A function $f:X\to K$ is locally strictly monotone on a set…
Conjectureopenmonotonicity p-adic-model-theory p-minimalityarXiv posted 2 days ago

Serre–Oesterlé rationality conjecture for the liftable Poincaré series