2 problems

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Bamberg et al.'s lower-bound conjecture for m-ovoids of symplectic polar spaces
Bamberg et al.'s conjecture. If an $m$ -ovoid exists in $\operatorname{W}(2r-1,p^e)$ with $r>2$ , then
Conjectureopenfinite-geometry ovoids symplectic-polar-spacesarXiv posted 2 days ago
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Brouwer's conjecture on the universal embedding dimension of symplectic polar spaces
Let $\mathrm{Sp}_{2n}(2)$ be the symplectic polar space, and let its universal embedding dimension be the dimension of the quotient of the associated point space by the subspace ge…
Conjecturesolvedembeddings finite-geometry symplectic-polar-spacesarXiv posted 2 days ago

Bamberg et al.'s lower-bound conjecture for m-ovoids of symplectic polar spaces