6 citations · 27 across the 31 of their papers we have counts for
7 papers · 1 filter
Tame Parahoric Nonabelian Hodge Correspondence in Positive Characteristic over Algebraic Curves
Mao Li, Hao Sun
Let be a reductive group, and let be an algebraic curve over an algebraically closed field with positive characteristic. We prove a version of nonabelian Hodge correspo…
Logahoric Higgs Torsors for a Complex Reductive Group
Georgios Kydonakis, Hao Sun, Lutian Zhao
In this article, a logahoric Higgs torsor is defined as a parahoric torsor with a logarithmic Higgs field. For a connected complex reductive group , we introduce a notion of sta…
On the image of Hitchin morphism for algebraic surfaces: The case
Lei Song, Hao Sun
The Hitchin morphism is a map from the moduli space of Higgs bundles to the Hitchin base , where is a smooth projective variety. When has dim…
Iteration complexity analysis of a partial LQP-based alternating direction method of multipliers
Jianchao Bai, Yuxue Ma, Hao Sun +1
In this paper, we consider a prototypical convex optimization problem with multi-block variables and separable structures. By adding the Logarithmic Quadratic Proximal (LQP) regula…
Convergence on a symmetric accelerated stochastic ADMM with larger stepsizes
Jianchao Bai, Deren Han, Hao Sun +1
In this paper, we develop a symmetric accelerated stochastic Alternating Direction Method of Multipliers (SAS-ADMM) for solving separable convex optimization problems with linear c…
A Combinatorial Approach to Root Multiplicities of a Special Type Rank 3 Kac-Moody Algebras
Bowen Chen, Hanyi Luo, Hao Sun
In this paper, we calculate the dimension of root spaces of a special type rank Kac-Moody algebras . We first introduce a special type of element…