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…
Saxl conjecture and the tensor square of unipotent characters of GL(n,q)
Emmanuel Letellier, GyeongHyeon Nam
We know from Letellier that if for some triple of partitions the corresponding Kronecker coefficient is non-zero then the corresponding multiplicities for unipotent characters of G…