Ming-Hsuan Kang

collaborators

5 papers

math.CO2026

A solution to Butler's positivity conjecture

Peter L. Guo, Mingyang Kang, Rui Xiong

Let $λ, μ, ν$ be distinct partitions such that $λ, μ \subset ν$ and $∣ ν / λ ∣ = ∣ ν / μ ∣ = 1$ . We prove Butler's positivity conjecture posed in 1994: the expansion of the Macdonald intersecti…

math.NT2026

Zeta functions of $PGL_{n}$ over non-Archimedean local fields

Ming-Hsuan Kang, Jiu-Kang Yu

Let $B$ be the Bruhat--Tits building of $PGL_{n} (F)$ , where $F$ is a non-Archimedean local field. We introduce geometric $k$ -geodesics in $B$ by means of…

math.CO2026

A Lam--Postnikov--Pylyavskyy inequality for hybrid Grothendieck polynomials

Peter L. Guo, Mingyang Kang, Jiaji Liu

We prove a multivariate Lam--Postnikov--Pylyavskyy type inequality for hybrid Grothendieck polynomials, unifying and refining results for stable and dual stable Grothendieck polyno…

math.CO2025

Spherical 2-Designs from Finite Group Orbits

Kuan-Cheng Chien, Ming-Hsuan Kang

We classify all spherical 2-designs that arise as orbits of finite group actions on real inner product spaces. Although it is well known that such designs can occur in representati…