Hao Peng

collaborators

4 papers

math.NT2026

Fargues-Scholze correspondence and endoscopic classification for special orthogonal and unitary groups

Hao Peng

Let $p$ be odd and let $K / Q_{p}$ be unramified. For a special orthogonal group or a unitary group $G$ over $K$ that splits over an unramified extension, we prove that the Far…

math.RT2026

The endoscopic character identity for even special orthogonal groups

Hao Peng

We establish the endoscopic character identity for bounded $A$ -packets of non-quasisplit even special orthogonal groups, with respect to elliptic endoscopic triples. The proof redu…

math.NT2026

An R=T theorem for certain orthogonal Shimura varieties

Hao Peng, Dmitri Whitmore

We prove an almost minimal R=T theorem for self-dual Galois representations with coefficients in a finite field satisfying a property called rigid. We also prove the rigidity prope…

math.NT2025

On the Beilinson-Bloch-Kato conjecture for polarized motives

Hao Peng

We study the Beilinson-Bloch-Kato conjecture for polarized motives. In the conjugate self-dual case, we show that if the central $L$ -value does not vanish, then the associated Bloc…