Duong Dinh

activity

20232026

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.DG2024

From $λ$ -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 $S L_{2} (C)$ $λ$ -connections $(E, \nabla_{λ})$ and sub-line bundles $L$ …

math.AG2024

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.DG2023

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…

Lagrangian correspondences for moduli spaces of Higgs bundles and holomorphic connections

From λ-connections to PSL2​(C)-opers with apparent singularities

Rank-2 wobbly bundles from special divisors on spectral curves

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

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

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