イベントカレンダー
- 日程
- 2023年3月10日（金曜日）
- 時間
- 16:00～17:00 (JST)
- 場所
- 大岡山本館 H213 セミナー室（対面とZoomによるハイブリッド開催）
- 講師
- 陽 煜 氏（京都大学数理解析研究所）
- 参加のお申し込み
- ※参加登録不要です。開始30分前からミーティングを開室します。ミーティングのURL・番号等は開始直前に下記のページに掲載します。
The Zoom URL will be announced in the page below a few minutes before the start of the lecture.
http://www.math.titech.ac.jp/~purkait/AGS/AGSeminarTIT.html#present
※対面参加をされる方は、当日会場で参加者名簿にご記入をお願いします。
If you are going to participate face-to-face on the day, please fill in the participant list at the venue.
- 講演タイトル
- Arithmetic fundamental groups of curves over local fields
- アブストラクト
- In the 1990s, Mochizuki (Invent. Math. 138 (1999), 319–423) solved
Grothendieck's anabelian conjecture over sub-p-aidc fields which is one
of the most important results in anabelian geometry. Its proof relies
heavily on Faltings' approach to p-adic hodge theory, and can be only used
in characteristic 0. In this talk, I will explain a new proof of
Mochizuki's theorem concerning (Isom-version) Grothendieck's anabelian
conjecture over sub-p-adic fields obtained by Y. Hoshi and the speaker.
Our method is completely different from Mochizuki's approach (i.e., without using p-adic hodge theory), and depends mainly on the techniques of algebraic geometry in positive characteristic (e.g. local Torelli problem for semi-Prym varieties, Raynaud-Tamagawa theta divisors, degeneration of abelian varieties, Serre-Tate theory, etc.) and fundamental groups in positive characteristic (e.g. Tamagawa's result concerning Grothendieck's anabelian conjecture for curves over finite fields, combinatorial anabelian geometry in positive characteristic, etc.). This talk will be given in Japanese.
更新日：2023.02.20
