イベントカレンダー
- 日程
- 2024年9月13日（金）
- 時間
- 16:15～17:15
- 場所
- 東京工業大学 大岡山キャンパス本館１階 M-107講義室(場所を変更しました) とオンライン
- Zoom Information：
- https://zoom.us/j/92840746161?pwd=xaxbRZut3r12f1aCOu6nzddWI7LR4I.1
Meeting ID: 928 4074 6161
Passcode: 2N0SmW
- 講師
- Vaidehee Thatte 氏 ( King's College London )
- 備考
- お問い合わせ先
- 東京工業大学理学院数学事務室
jimu[at]math.titech.ac.jp （[at]は半角@に置き換えてください。）
- 講演タイトル
- Ramification Theory for Henselian Valued Fields
- アブストラクト
- Ramification theory serves the dual purpose of a diagnostic tool and treatment by helping us locate, measure, and treat the anomalous behavior of mathematical objects. In the classical setup, the degree of a finite Galois extension of “nice” fields splits up neatly into the product of two well-understood numbers (ramification index and inertia degree) that encode how the base field changes. In the general case, however, a third factor called the defect (or ramification deficiency) can pop up. The defect is a mysterious phenomenon and the main obstruction to several long-standing open problems, such as obtaining resolution of singularities. The primary reason is, roughly speaking, that the classical strategy of “objects become nicer after finitely many adjustments” fails when the defect is non-trivial. I will discuss my previous and ongoing work in ramification theory that allows us to understand and treat the defect.
更新日：2024.09.03
