Hao Peng

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20122026

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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…

math.NT2025

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…