代数幾何学セミナー

過去の記録 ~07/24次回の予定今後の予定 07/25~

開催情報 金曜日 13:30~15:00 数理科学研究科棟(駒場) ハイブリッド開催/117号室
担当者 權業 善範、中村 勇哉、田中 公

2017年01月27日(金)

14:00-17:30   数理科学研究科棟(駒場) 122号室
今週は金曜日に2つの講演があります。Two lectures will be delivered on Friday.
Luca Tasin 氏 (Roma Tre University) 14:00-15:30
On the number and boundedness of minimal models of general type (English)
[ 講演概要 ]
In this talk I will explain that the number of minimal models yields a constructible function on the base of any family of varieties of general type. From this it follows that the number of minimal models of a variety of general type can be bounded in terms of its volume. I will also show that in any dimension minimal models of general type and bounded volume form a bounded family. This is based on a joint work with D. Martinelli and S. Schreieder.
Roberto Svaldi 氏 (University of Cambridge/SISSA) 16:00-17:30
Adjoint dimension of foliations (English)
[ 講演概要 ]
The classification of foliated surfaces by Brunella, McQuillan and Mendes carries many similarities with Enriques-Kodaira classification of surfaces but also many important differences. I will discuss an alternative classification scheme where the role of differential forms along the leaves is replaced by differential forms along the leaves with values in fractional powers of the conormal bundle of the foliation. In this alternative setup one obtains a classification of foliated surfaces closer to the usual Enriques-Kodaira classification. If time permits, I will show how to apply this alternative classification to describe the Zariski closure of the set foliations which admit rational first integral of bounded genus in families of foliated surfaces. Joint work with Jorge Vitorio Pereira.
[ 参考URL ]
https://www.dpmms.cam.ac.uk/~rs872/