Hao Peng

activity

20122026

collaborators

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3 papers · 1 filter

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.RT2025

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.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…