컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0136 |
|---|---|
| 분류(Section) | Special Session |
| 분과(Session) | (SS-01) Algebraic Number Theory and Related Topics (SS-01) |
| 발표시간(Time) | 20th-D-13:00 -- 13:30 |
| 영문제목 (Title(Eng.)) |
An explicit formula for the orbital integrals associated with an arbitrary element of the spherical Hecke Algebra of $\mathrm{GL}_3$ |
| 저자(Author(s)) |
Yuchan Lee1, Sungmun Cho1 POSTECH1 |
| 초록본문(Abstract) | Orbital integrals play a significant role not only in the Langlands program, but also the other various topics in number theory. In particular, orbital integrals associated to an element in the spherical Hecke algebra which appears in the geometric side of the formula in the fundamental lemma enables us to obtain the information in the spectral side, containing the inaccessible data from automorphic forms. In this talk, we present an explicit formula of orbital integrals associated with an element of the spherical Hecke algebra of $\mathrm{GL}_3$. We will outline the proof of the formula which is based on the smoothening method, introduced in the talk "Orbital integrals for classical Lie algebra and smoothening (2023 KMS Spring Meeting)". This is a joint work with Sungmun Cho. |
| 분류기호 (MSC number(s)) |
11F72, 11S80 |
| 키워드(Keyword(s)) | Orbital integral, Hecke algebra |
| 강연 형태 (Language of Session (Talk)) |
Korean |