Benchao Su

collaborators

4 papers

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.NT2025

On the locally analytic $Ext^{1}$ -conjecture in the $GL_{2} (L)$ case

Benchao Su

Let $L$ be a finite extension of $Q_{p}$ . We calculate the dimension of $Ext^{1}$ -groups of certain locally analytic representations of $GL_{2} (L)$ defined using c…

math.NT2025

Locally analytic vectors in the completed cohomology of unitary Shimura curves

Tian Qiu, Benchao Su

We use the methods introduced by Lue Pan to study the locally analytic vectors in the completed cohomology of unitary Shimura curves. As an application, we prove a classicality res…

math.NT2025

De Rham cohomology of Lubin-Tate spaces and Drinfeld spaces

Benchao Su

Let $d \geq 1$ be an integer. We use the methods introduced by Lue Pan to prove that the compactly supported cohomology of Lubin-Tate towers and Drinfeld towers are isomorphic, as $\…

Locally analytic vectors in the completed cohomology of quaternionic Shimura curves

On the locally analytic Ext1-conjecture in the GL2​(L) case

Locally analytic vectors in the completed cohomology of unitary Shimura curves

De Rham cohomology of Lubin-Tate spaces and Drinfeld spaces

On the locally analytic $Ext^{1}$ -conjecture in the $GL_{2} (L)$ case