4 papers · 1 filter
Topological flatness of orthogonal spin local models
Jie Yang
Let be an odd prime and be a complete discretely valued field with residue field of characteristic . For any parahoric level structure of the split even orthogonal simil…
On the flatness of spin local models for split even orthogonal groups
Jie Yang
Let be a complete discretely valued field with ring of integers and residue field of characteristic . Let denote the split orthogo…
Prime Geodesic Theorem for Arithmetic Compact Surfaces: Principal Congruence Case
Chenhao Tang, Han Wu, Jie Yang +1
We generalize Koyama's bound of the error term in the prime geodesic theorems to the principal congruence subgroups for quaternion algebras. Our method avoids the spectral s…
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…