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The geometric Razumov–Stroganov conjecture for conormal Schubert sheaves
About 10 years old
Geometric Razumov–Stroganov conjecture. The pushforward of $\sigma_r$ to $\operatorname{Mat}_<(N)$ in $T$ -equivariant $K$ -theory is equal, up to normalization, to
openequivariant-k-theory fully-packed-loops quantum-knizhnik-zamolodchikov
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The geometric Razumov–Stroganov conjecture for conormal Schubert sheaves