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Tangent spaces of spherical Schubert varieties and a counterexample to the reducedness conjecture

Published 18 Mar 2026 in math.RT and math.AG | (2603.17273v1)

Abstract: Given a simply-connected simple algebraic group $G$, we determine the tangent spaces of the Finkerberg-Mirković Schubert scheme in the affine Grassmannian of $G$ associated to the quasi-miniscule coweight. As a consequence, we exhibit a non-reduced Finkerberg-Mirković Schubert scheme when $G$ is of type $E_8$.

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