3 papers
math.GM2026
Limit Values of Character Sums in Frobenius Formula of Three Permutations
Dun Liang, Bin Xu, Wenyan Yang
We study the asymptotic behaviour of the character summation part of the Frobenius formula for three conjugacy classes of the symmetric groups. When two conjugacy classes contain f…
math.RT2026
Relating Arthur packets of real unitary groups and -adic symplectic and orthogonal groups
Taiwang Deng, Chang Huang, Bin Xu +1
We establish an explicit correspondence of certain Arthur packets between real unitary groups and -adic symplectic or orthogonal groups. This allows one to compute Arthur packet…
math.DG2025
Stable parabolic Higgs bundles of rank two and singular hyperbolic metrics
Yu Feng, Bin Xu
In this paper, we construct a stable parabolic Higgs bundle of rank two, which corresponds to the uniformization associated with a conformal hyperbolic metric on a compact Riemann…