D. Dinh

activity

20242026

collaborators

4 papers

math.AG2026

Lagrangian correspondences for moduli spaces of Higgs bundles and holomorphic connections

Panagiotis Dimakis, Duong Dinh, Shengjing Xu

On a compact connected Riemann surface $C$ of genus at least $2$ , we construct Lagrangian correspondences between moduli spaces of rank- $n$ Higgs bundles (respectively, holomorphic…

math.AG2025

Rank-2 wobbly bundles from special divisors on spectral curves

Duong Dinh

We study rank-2 wobbly bundles on a Riemann surface $C$ of genus $g \geq 2$ , i.e. semi-stable bundles admitting nonzero nilpotent Higgs fields, in terms of direct images of line bun…

math.DG2025

Classical limit of the geometric Langlands correspondence for $S L (2, C)$

Duong Dinh, Joerg Teschner

The goal of this paper is to give an explicit description of the integrable structure of the Hitchin moduli spaces. This is done by introducing explicit parameterisations for the d…

math.DG2024

From $I^»$ -connections to $P S L_{2} (C)$ -opers with apparent singularities

Duong Dinh

On a Riemann surface of genus $> 1$ , we discuss how to construct opers with apparent singularities from $S L_{2} (C)$ $I^»$ -connections $(E, \nabla_{I^} »)$ and sub-line bundles $L…

Lagrangian correspondences for moduli spaces of Higgs bundles and holomorphic connections

Rank-2 wobbly bundles from special divisors on spectral curves

Classical limit of the geometric Langlands correspondence for SL(2,C)

From I^»-connections to PSL2​(C)-opers with apparent singularities

Classical limit of the geometric Langlands correspondence for $S L (2, C)$

From $I^»$ -connections to $P S L_{2} (C)$ -opers with apparent singularities