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代数幾何学セミナー
過去の記録 ～12/25｜次回の予定｜今後の予定 12/26～
| 開催情報 | 金曜日 13:30～15:00 数理科学研究科棟(駒場) 118号室 |
|---|---|
| 担当者 | 權業 善範、河上 龍郎 、榎園 誠 |
今後の予定
2025年12月26日(金)
13:30-15:00 数理科学研究科棟(駒場) 118号室
森山奈緒 氏 (京都大学)
Remarks on the minimal model theory for log surfaces in the analytic setting
森山奈緒 氏 (京都大学)
Remarks on the minimal model theory for log surfaces in the analytic setting
[ 講演概要 ]
In 2022, Fujino introduced a complex analytic framework for discussing the minimal model theory, in particular the minimal model program for projective morphisms of complex analytic spaces.
In this talk, I will discuss the minimal model theory for log surfaces in this setting. More precisely, I will show that the minimal model program, the abundance theorem, and the finite generation of log canonical rings hold for log pairs of complex surfaces that are projective over complex analytic varieties.
In 2022, Fujino introduced a complex analytic framework for discussing the minimal model theory, in particular the minimal model program for projective morphisms of complex analytic spaces.
In this talk, I will discuss the minimal model theory for log surfaces in this setting. More precisely, I will show that the minimal model program, the abundance theorem, and the finite generation of log canonical rings hold for log pairs of complex surfaces that are projective over complex analytic varieties.
2026年01月07日(水)
10:30-12:00 数理科学研究科棟(駒場) 122号室
いつもと曜日・時間が異なります。
Jun-Muk Hwang 氏 (IBS Center for Complex Geometry)
Fundamental forms and infinitesimal symmetries of projective varieties
いつもと曜日・時間が異なります。
Jun-Muk Hwang 氏 (IBS Center for Complex Geometry)
Fundamental forms and infinitesimal symmetries of projective varieties
[ 講演概要 ]
We give a bound on the dimension of the linear automorphism group of a projective variety $Z \subset P^n$ in terms of its fundamental forms at a general point. Moreover, we show that the bound is achieved precisely when $Z \subset P^n$ is projectively equivalent to an Euler-symmetric variety. As a by-product, we determine the Lie algebra of infinitesimal automorphisms of an Euler-symmetric variety and also obtain a rigidity result on the specialization of an Euler-symmetric variety preserving the isomorphism type of the fundamental forms. This is a joint work with Qifeng Li.
We give a bound on the dimension of the linear automorphism group of a projective variety $Z \subset P^n$ in terms of its fundamental forms at a general point. Moreover, we show that the bound is achieved precisely when $Z \subset P^n$ is projectively equivalent to an Euler-symmetric variety. As a by-product, we determine the Lie algebra of infinitesimal automorphisms of an Euler-symmetric variety and also obtain a rigidity result on the specialization of an Euler-symmetric variety preserving the isomorphism type of the fundamental forms. This is a joint work with Qifeng Li.
2026年01月14日(水)
13:30-15:00 数理科学研究科棟(駒場) 122号室
いつもと曜日が異なります．いつもと部屋が異なります．
Radu Laza 氏 (Stony Brook University)
TBA
いつもと曜日が異なります．いつもと部屋が異なります．
Radu Laza 氏 (Stony Brook University)
TBA
[ 講演概要 ]
TBA
TBA
2026年01月16日(金)
13:30-15:00 数理科学研究科棟(駒場) 118号室
朝永龍 氏 (東京大学)
TBA
朝永龍 氏 (東京大学)
TBA
[ 講演概要 ]
TBA
TBA
