Zhixiang Wu

activity

20242026

collaborators

5 papers

math.RA2026

Higher Structures of Rota--Baxter Lie $H$ -Pseudoalgebras

Sania Asif, Zhixiang Wu

This paper investigates Rota--Baxter Lie $H$ -pseudoalgebras. We develop a cohomology theory for $λ$ -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 $D$ whic…

math.RA2025

Quasi-Twilled Lie Pseudolgebras and Their Deformation Maps

Sania Asif, Zhixiang Wu

In this paper, we present a unified framework for studying cohomology theories of various operators in the context of pseudoalgebras. The central tool in our approach is the notion…

math.RT2025

Bernstein-Zelevinsky duality for locally analytic principal series representations

Matthias Strauch, Zhixiang Wu

We consider certain dual of the Kohlhaase-Schraen resolutions for locally analytic principal series representations of $p$ -adic Lie groups in the case of integral weights. The dual…

math.NT2024

Geometric translations of $(φ, Γ)$ -modules for $GL_{2} (Q_{p})$

Zhixiang Wu

We study ``change of weights'' maps between loci of the stack of $(φ, Γ)$ -modules over the Robba ring with integral Hodge-Tate-Sen weights. We show that in the $\mathrm{GL}_2(\mathb…

Higher Structures of Rota--Baxter Lie H-Pseudoalgebras

Locally analytic vectors in the completed cohomology of quaternionic Shimura curves

Quasi-Twilled Lie Pseudolgebras and Their Deformation Maps

Bernstein-Zelevinsky duality for locally analytic principal series representations

Geometric translations of (φ,Γ)-modules for GL2​(Qp​)

Higher Structures of Rota--Baxter Lie $H$ -Pseudoalgebras

Geometric translations of $(φ, Γ)$ -modules for $GL_{2} (Q_{p})$