Pengfei Huang

collaborators

6 papers

math.AG2026

Tangent discontinuity in the oper stratification of de Rham moduli spaces

Pengfei Huang

Let $X$ be a smooth complex projective curve of genus $g$ , and let $M_{dR} (X, r)$ be the moduli space of flat bundles of rank $r$ . Over the stable locus, Simpson…

math.DG2026

Symmetric spaces for groups over involutive algebras and applications to Higgs bundles

Pengfei Huang, Georgios Kydonakis, Eugen Rogozinnikov +1

We study symplectic groups and indefinite orthogonal groups over involutive, possibly noncommutative, algebras $(A, I ¨ )$ . In the case when the algebra $(A, I ¨ )$ is Hermitian, or th…

math.AG2026

Deformation theory of parabolic representation pairs

Zhi Hu, Pengfei Huang, Wanmin Yan +1

In this paper, we introduce the notions of parabolic representation pair variety and relative representation variety of a given parabolic type. We investigate the local behavior of…

math.AG2025

Rigid $G$ -connections and nilpotency of $p$ -curvatures

Pengfei Huang, Yichen Qin, Hao Sun

Motivated by Simpson's conjecture on the motivicity of rigid irreducible connections, Esnault and Groechenig demonstrated that the mod- $p$ reductions of such connections on smooth…

math.AG2025

Moduli Spaces of Filtered G-local Systems on Curves

Pengfei Huang, Hao Sun

In this paper, we construct the moduli spaces of filtered $G$ -local systems on curves for an arbitrary reductive group $G$ over an algebraically closed field of characteristic zero…

math.OC2025

An ideal-sparse generalized moment problem reformulation for completely positive tensor decomposition exploiting maximal cliques of multi-hypergraphs

Pengfei Huang, Minru Bai

In this paper, we consider the completely positive tensor decomposition problem with ideal-sparsity. First, we propose an algorithm to generate the maximal cliques of multi-hypergr…