2 problems

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Bhargava–Kane–Lenstra–Poonen–Rains conjecture for ranks and Sha
Fix a prime $p$ and let $V_n=(\mathbb{Z}_p^{2n},Q)$ . Choose maximal isotropic direct summands $Z,W$ at random as in the inverse-limit measure, and define … Here…
Conjectureopenelliptic-curves selmer-groups shafarevich-tatearXiv posted 2 days ago
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Poonen–Rains model for p-infinity Selmer groups
Fix a prime $p$ . Let $V_n=(\mathbb{Z}_p^{2n},Q)$ , and let $Z$ and $W$ be maximal isotropic direct summands chosen with the measure obtained as the inverse limit over $e$ of the uni…
Conjectureopenelliptic-curves selmer-groups shafarevich-tatearXiv posted 2 days ago

Bhargava–Kane–Lenstra–Poonen–Rains conjecture for ranks and Sha