4 problems

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The complete type-edge-pair description of the solution set for $Sp_4$
Complete type-edge-pair conjecture. The union over all type-edge pairs equals the solution set:
Conjectureopenaffine-deligne-lusztig-sets p-adic-groups symplectic-groupsarXiv posted 2 days ago
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The type-edge-pair computation conjecture for affine Deligne–Lusztig sets in $Sp_4$
Type-edge-pair computation conjecture. The folding of $I_1\cup I_2$ gives the entire computed superset $S_1$ .
Conjectureopenaffine-deligne-lusztig-sets p-adic-groups symplectic-groupsarXiv posted 2 days ago
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Completeness of the computed supersets for affine Deligne–Lusztig solution sets in $Sp_4$
Completeness conjecture. The computed supersets are complete; equivalently, the chambers produced by the relevant type-edge pairs give the entire superset $S_1$ .
Conjectureopenaffine-deligne-lusztig-sets p-adic-groups symplectic-groupsarXiv posted 2 days ago
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Nonemptiness and parahoric surjectivity conjecture for affine Deligne–Lusztig sets
Let $G$ be the reductive group over $F$ considered above, let $L$ be the corresponding extension with Frobenius $csigma$ , let $\mu$ be a conjugacy class of minuscule one-parameter…
Conjectureopenaffine-deligne-lusztig-sets arithmetic-geometry p-adic-groupsarXiv posted 2 days ago

The complete type-edge-pair description of the solution set for Sp4Sp_4Sp4​