On $\ell$-adic Galois multiple polylogarithms and their Landen-type formulas
| 구분 | 정수론,학부생,학생(팀) |
|---|---|
| 일정 | 2026-05-29(금) 09:30~11:00 |
| 세미나실 | 온라인 |
| 강연자 | Densuke Shiraishi (Kagawa College) |
| 담당교수 | 김도형 |
| 기타 |
https://snu-ac-kr.zoom.us/j/81434937513?pwd=fLxpYPeiyaIjZ5tssu7MWXlsehPKgq.1
회의 채팅 링크
https://snu-ac-kr.zoom.us/launch/jc/81434937513
회의 ID: 814 3493 7513
암호: 639289
Speaker: Densuke Shiraishi
Title: On $\ell$-adic Galois multiple polylogarithms and their Landen-type formulas
Abstract:
The non-abelian Galois 1-cocycle arising from the Galois action on the etale fundamental groupoid of $\mathbb{P}^1 \setminus {0, 1, \infty}$ with rational base points is one of the fundamental objects in anabelian geometry.
In this talk, we discuss the $\ell$-adic Galois analogue of classical multiple polylogarithms, defined as the $\ell$-adic Magnus coefficients of this 1-cocycle.
These coefficients constitute a multiple (i.e., higher-depth) generalization of $\ell$-adic Galois polylogarithms introduced and developed by Wojtkowiak and Nakamura-Wojtkowiak.
After a review of $\ell$-adic Galois multiple polylogarithms, we present their Landen-type formulas as our main result.
This talk is based on the preprint arXiv:2601.11304.
