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math.RT2026
Quantum wreath products and Yang-Baxter equations
Alexandre Minets
We extend the setup of Lai-Nakano-Xiang's quantum wreath product algebras to symmetric monoidal categories and deformed braid relations. Under some mild assumptions, we drastically…
math.AG2026
Equivariant multiplicities and mirror symmetry for Hilbert schemes
Alexandre Minets, Filip Živanović
Following Hausel-Hitchin, we investigate core Lagrangians and upward flows in Hilbert schemes of points on elliptic surfaces. We compute the scheme-theoretic multiplicities of core…