Xue‐Yi Ma

collaborators

3 papers

math.NT2026

The principal series 2-representation for $GL_{n} \times GL_{n}$ over a 2-dimensional local field

Xuecai Ma, Jingwen Zhu

Let $F = F_{q} ((u)) ((t))$ and $H = GL_{n} (F)_{L} \times GL_{n} (F)_{R}$ . An ordered tuple $α = (α_{1}, \dots, α_{n})$ defines a cross- $K_{2}$ multiplier on the doubled Borel. Twi…

math.NT2026

Hecke algebra of $GL_{n}$ over a 2-dimensional local field

Xuecai Ma

Using the $R ((X))$ -measure, we define and study certain $C ((X))$ -valued functions on $GL_{n} (F)$ for $F$ a two-dimensional local field. In particular, we d…

math.AT2025

Spectral moduli problems for level structures and an integral Jacquet-Langlands dual of Morava E-theory

Xuecai Ma, Yifei Zhu

Given an E-infinity ring spectrum R, with motivation from chromatic homotopy theory, we define relative effective Cartier divisors for a spectral Deligne-Mumford stack over Spet(R)…

The principal series 2-representation for GLn​×GLn​ over a 2-dimensional local field

Hecke algebra of GLn​ over a 2-dimensional local field

Spectral moduli problems for level structures and an integral Jacquet-Langlands dual of Morava E-theory

The principal series 2-representation for $GL_{n} \times GL_{n}$ over a 2-dimensional local field

Hecke algebra of $GL_{n}$ over a 2-dimensional local field