Yukun (Bennie) Du
  • Bio
  • Papers
  • Talks
  • Blog
  • Experience
  • Projects
  • Courses
ESC

Searching...

No results found

↑↓ Navigate ↵ Select
Powered by Hugo Blox
  • Publications
    • Lattices of Minimal Covolume in {$\mathrm{PSL}_2$} over Dyadic Local Fields
    • Profinite Non-Rigidity of Arithmetic Lattices and the {K}\"ahler Property
    • Two-Generator Discrete Subgroups of Tree Automorphism Groups
    • Terminal Geometry of Rank-Two Nielsen Reduction on Simplicial Trees
    • Busemann-Selberg Functions and Completeness for Dirichlet-Selberg domains in $mathrmSL(n,ℝ)/mathrmSO(n)$
    • Geometry of Selberg's bisectors in the symmetric space $SL(n,ℝ)/SO(n,ℝ)$
    • Generalized Darboux Transformation for the Discrete Kadomtsev–Petviashvili Equation with Self-Consistent Sources
  • Blog
    • My first post
  • Recent & Upcoming Talks
    • Poincaré’s Algorithm for the Lie Group SL(n, R)
  • Courses
    • Complex Variables
    • Precalculus
  • Publications
    • Free and Discrete Generating Pairs of Tree Automorphisms
    • Geometry of Selberg's bisectors in Jordan symmetric spaces
    • Geometry of Selberg's bisectors in the symmetric space $SL(n,ℝ)/SO(n,ℝ)$
    • Busemann-Selberg Functions and Completeness for Dirichlet-Selberg domains in $mathrmSL(n,ℝ)/mathrmSO(n)$
    • Generalized Darboux Transformation for the Discrete Kadomtsev–Petviashvili Equation with Self-Consistent Sources
  • Projects
    • Compute Dirichlet-Selberg Domains
  • Experience

Lattices of Minimal Covolume in {$\mathrm{PSL}_2$} over Dyadic Local Fields

Nov 7, 2026·
Y. Du
· 0 min read
PDF
Abstract
In this paper, we classify the lattices of minimal covolume in $\mathrm{SL}(2,K)$ for each finite extension $K/\mathbb{Q}_2$. This extends a result of Lubotzky and Weigel, which treats finite extensions of $\mathbb{Q}_p$ for odd primes $p$.
Type
Manuscript
Last updated on Nov 7, 2026

Profinite Non-Rigidity of Arithmetic Lattices and the {K}\"ahler Property Sep 1, 2026 →

© 2026 Me. This work is licensed under CC BY NC ND 4.0

Made with Hugo Blox Builder. Clone this template →