6 papers · 1 filter
Ideal class monoids of cubic orders
Sungmun Cho, Jungtaek Hong, Yuchan Lee
Let be an order in a number field, let be its ideal class monoid, and let act on it by multiplication. The local-global product for…
Global geometrization of local smooth integral models in the Hitchin fibration for : The Bass case
Sungmun Cho, Jungtaek Hong
In previous joint work, we proposed a new method to study local orbital integrals for (where or in the Bass case), by employing a smoothening method of a cert…
An upper bound for the size of the ideal class monoid
Sungmun Cho, Jungtaek Hong, Yuchan Lee
The ideal class monoid for an order in a finite field extension of a number field, denoted by , is a fundamental object to study in number theo…
Orbital integrals and ideal class monoids for a Bass order
Sungmun Cho, Jungtaek Hong, Yuchan Lee
A Bass order is an order of a number field whose fractional ideals are generated by two elements. The majority of number fields contain infinitely many Bass orders. For example, an…
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…
An explicit formula for the orbital integrals on the spherical Hecke algebra of
Sungmun Cho, Yuchan Lee
We provide the explicit formula for orbital integrals associated with elliptic regular semisimple elements in and associated with…