2 problems

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Cohen–Martinet functoriality conjecture for discriminant-uniform averages
Cohen–Martinet's conjecture. If the $G$ -extensions and $H$ -extensions have corresponding behavior at infinite places, then the discriminant-uniform average over $G$ -extensions $K$ …
Conjectureopenclass-groups cohen-martinet-heuristics number-fieldsarXiv posted 3 days ago
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Malle–Adam–Malle conjecture for 2-ranks of class groups
Let $K$ be a number field whose Galois closure has Galois group $S_n$ , and suppose that $K$ has odd degree $n$ and signature $(r_1,r_2)$ . Let $C_K$ be its class group, and let…
Conjectureopenclass-groups cohen-martinet-heuristics number-fieldsarXiv posted 3 days ago

Cohen–Martinet functoriality conjecture for discriminant-uniform averages