Sungmun Cho

collaborators

3 papers

math.NT2026

Ideal class monoids of cubic orders

Sungmun Cho, Jungtaek Hong, Yuchan Lee

Let $R$ be an order in a number field, let $Cl (R)$ be its ideal class monoid, and let $Cl (R)$ act on it by multiplication. The local-global product for…

math.NT2026

Global geometrization of local smooth integral models in the Hitchin fibration for $GL_{n}$ : The Bass case

Sungmun Cho, Jungtaek Hong

In previous joint work, we proposed a new method to study local orbital integrals for $GL_{n}$ (where $n = 3$ or in the Bass case), by employing a smoothening method of a cert…

math.NT2024

Stable orbital integrals for classical Lie algebras and smooth integral models

Sungmun Cho, Taeyeoup Kang, Yuchan Lee

A main goal of this paper is to introduce a new description of the stable orbital integral for a regular semisimple element and for the unit element of the Hecke algebra in the cas…

Ideal class monoids of cubic orders

Global geometrization of local smooth integral models in the Hitchin fibration for GLn​: The Bass case

Stable orbital integrals for classical Lie algebras and smooth integral models

Global geometrization of local smooth integral models in the Hitchin fibration for $GL_{n}$ : The Bass case