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math.RA2026
Higher Structures of Rota--Baxter Lie -Pseudoalgebras
Sania Asif, Zhixiang Wu
This paper investigates Rota--Baxter Lie -pseudoalgebras. We develop a cohomology theory for -weighted relative Rota--Baxter operators via a Maurer--Cartan approach, construc…
math.NT2026
Locally analytic vectors in the completed cohomology of quaternionic Shimura curves
Zhenghui Li, Benchao Su, Zhixiang Wu
We use the methods introduced by Lue Pan to study the locally analytic vectors of the completed cohomology of Shimura curves associated to an indefinite quaternion algebra whic…