Hao Peng

activity

20122026

collaborators

5 papers

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.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…

math.CO2012

On Frankl and Furedi's conjecture for 3-uniform hypergraphs

Qingsong Tang, Hao Peng, Cailing Wang +1

The Lagrangian of a hypergraph has been a useful tool in hypergraph extremal problems. In most applications, we need an upper bound for the Lagrangian of a hypergraph. Frankl and F…