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談話会・数理科学講演会
過去の記録 ～04/18｜次回の予定｜今後の予定 04/19～
| 担当者 | 足助太郎，寺田至，長谷川立，宮本安人（委員長） |
|---|---|
| セミナーURL | https://www.ms.u-tokyo.ac.jp/seminar/colloquium/index.html |
2007年12月21日(金)
17:00-18:00 数理科学研究科棟(駒場) 123号室
お茶&Coffee&お菓子: 16:30～17:00 (コモンルーム)
D. Eisenbud 氏 (Univ. of California, Berkeley)
Plato's Cave: what we still don't know about generic projections
お茶&Coffee&お菓子: 16:30～17:00 (コモンルーム)
D. Eisenbud 氏 (Univ. of California, Berkeley)
Plato's Cave: what we still don't know about generic projections
[ 講演概要 ]
Riemann Surfaces were first studied algebraically by first projecting them into the complex projective plan; later the same idea was applied to surfaces and higher dimensional varieties, projecting them to hypersurfaces. How much damage is done in this process? For example, what can the fibers of a generic linear projection look like? This is pretty easy for smooth curves and surfaces (though there are still open questions), not so easy in the higher-dimensional case. I'll explain some of what's known, including recent work of mine with Roya Beheshti, Joe Harris, and Craig Huneke.
Riemann Surfaces were first studied algebraically by first projecting them into the complex projective plan; later the same idea was applied to surfaces and higher dimensional varieties, projecting them to hypersurfaces. How much damage is done in this process? For example, what can the fibers of a generic linear projection look like? This is pretty easy for smooth curves and surfaces (though there are still open questions), not so easy in the higher-dimensional case. I'll explain some of what's known, including recent work of mine with Roya Beheshti, Joe Harris, and Craig Huneke.
