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math.RT2026
Combinatorics of Mirković-Vilonen cycles in twisted affine Grassmannians
Jiuzu Hong, Linhui Shen, Daping Weng
We investigate the explicit geometric and combinatorial structure of Mirković-Vilonen (MV) cycles in twisted affine Grassmannians associated with special parahoric group schemes. U…
math.RT2026
Tangent spaces of spherical Schubert varieties and counterexamples to the reducedness conjecture
Marc Besson, Jiuzu Hong, Huanhuan Yu
Given a simply-connected simple algebraic group , we determine the tangent space of any Finkelberg-Mirković Schubert scheme at the base point of the affine Grassmannian of .…