4 papers
Symplectic resolutions of moduli spaces of -Higgs bundles
GyeongHyeon Nam
The goal of this paper is to consider symplectic singularities of the moduli space of -Higgs bundles over a compact Riemann surface with genus at least . Furthermore, when $G…
Absolutely indecomposable quasi-parabolic -bundles and the multiplicity of irreducible characters
GyeongHyeon Nam
Absolutely indecomposable vector bundle and parabolic vector bundles are well-studied via quiver representations. In this paper, we study absolutely indecomposable quasi-parabolic…
Parabolic conjugacy class in finite reductive groups and its additive analogue
GyeongHyeon Nam
In this paper, we answer the question posed by Goodwin and Röhrle for reductive groups and their parabolic subgroups. In addition, we consider an additive analogue of this problem.…
Multiplicity of characters of finite reductive groups and Drinfeld doubles
GyeongHyeon Nam
In this paper, we compute the multiplicities of tensor products of almost unipotent characters and Deligne Lusztig characters of a finite reductive group , and these multiplic…