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7
votes
Accepted
Are Kazhdan-Lusztig $R$-polynomials the Poincare polynomials of the corresponding affine var...
I think that this is one of these things that looks plausible in small examples but is false. For example, this would imply that the coefficients of R polynomials are alternating in $q$. This is impli …
7
votes
Accepted
What is the remaining difficulty in the proof of the Humphreys conjecture (on the support va...
The paper Silting complexes of coherent sheaves and the Humphreys conjecture by Achar and Hardesty proves this conjecture in full generality (for $p \ge h$).