Jie Yang

collaborators

6 papers

math.NT2026

On semi-stable integral models for Shimura varieties

Jie Yang, Ioannis Zachos, Zhihao Zhao

We construct (potentially) semi-stable integral models for a class of Shimura varieties with maximal parahoric level at an odd prime $p$ . The main input is an explicit construction…

math.NT2026

On the flatness of spin local models for split even orthogonal groups

Jie Yang

Let $F$ be a complete discretely valued field with ring of integers $O$ and residue field of characteristic $p > 2$ . Let $G = GO_{2 n}$ denote the split orthogo…

math.NT2026

Prime Geodesic Theorem for Arithmetic Compact Surfaces: Principal Congruence Case

Chenhao Tang, Han Wu, Jie Yang +1

We generalize Koyama's $7/10$ bound of the error term in the prime geodesic theorems to the principal congruence subgroups for quaternion algebras. Our method avoids the spectral s…

math.NT2025

Topological flatness of orthogonal spin local models

Jie Yang

Let $p$ be an odd prime and $F$ be a complete discretely valued field with residue field of characteristic $p$ . For any parahoric level structure of the split even orthogonal simil…

math.NT2025

Wildly ramified unitary local models for special parahorics. The odd dimensional case

Jie Yang

We construct local models for wildly ramified unitary similitude groups of odd dimension $n \geq 3$ with special parahoric level structure and signature $(n - 1, 1)$ . We first give a l…

hep-th2025

Chern-Simons Type Characteristic Classes of Abelian Lattice Gauge Theory

Mengyao Wu, Jie Yang

In this paper,we extend the definition of the Chern-Simons type characteristic classes in the continuous case to abelian lattice gauge theory. Then, we show that the exterior diffe…