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談話会・数理科学講演会
過去の記録 ～04/28｜次回の予定｜今後の予定 04/29～
| 担当者 | 会田茂樹（委員長），池祐一，今井直毅，林修平 |
|---|---|
| セミナーURL | https://www.ms.u-tokyo.ac.jp/seminar/colloquium/index.html |
今後の予定
2026年05月22日(金)
15:30-16:30 数理科学研究科棟(駒場) NISSAY Lecture Hall号室
Evgeny Shinder 氏 (University of Sheffield / 東京大学大学院数理科学研究科)
Gromov's cancellation question in birational algebraic geometry
Evgeny Shinder 氏 (University of Sheffield / 東京大学大学院数理科学研究科)
Gromov's cancellation question in birational algebraic geometry
[ 講演概要 ]
Gromov's 1999 cancellation question is: given two open embeddings of a variety U into a variety X, do they always have isomorphic closed complements? In my joint work with Hsueh-Yung Lin we reformulate this question in terms of the structure of the Grothendieck ring of varieties and answer it in various situations. The answer will be positive or negative depending on the dimension of varieties and the ground field. Finally, I will present an application to the structure of the Cremona group of birational self-maps of the projective space.
Gromov's 1999 cancellation question is: given two open embeddings of a variety U into a variety X, do they always have isomorphic closed complements? In my joint work with Hsueh-Yung Lin we reformulate this question in terms of the structure of the Grothendieck ring of varieties and answer it in various situations. The answer will be positive or negative depending on the dimension of varieties and the ground field. Finally, I will present an application to the structure of the Cremona group of birational self-maps of the projective space.
