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代数幾何学セミナー
過去の記録 ～10/29｜次回の予定｜今後の予定 10/30～
| 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 |
2026年11月06日(金)
13:15-14:45 数理科学研究科棟(駒場) 118号室
仁村 州 氏 (名古屋大学)
Moduli spaces of $G$-constellations on $\mathbb{C}^2$ and their birational geometry
仁村 州 氏 (名古屋大学)
Moduli spaces of $G$-constellations on $\mathbb{C}^2$ and their birational geometry
[ 講演概要 ]
Let $G$ be a finite subgroup of $GL_2(\mathbb{C})$. Ishii conjectured that a resolution of $\mathbb{C}^2/G$ is dominated by the maximal resolution of the quotient pair if and only if it is isomorphic to a moduli space of King-stable $G$-constellations. After reviewing the background, I will outline a proof of this conjecture. I will then present a complementary result on wall-crossing for moduli spaces of Bridgeland-stable $G$-constellations.
Let $G$ be a finite subgroup of $GL_2(\mathbb{C})$. Ishii conjectured that a resolution of $\mathbb{C}^2/G$ is dominated by the maximal resolution of the quotient pair if and only if it is isomorphic to a moduli space of King-stable $G$-constellations. After reviewing the background, I will outline a proof of this conjecture. I will then present a complementary result on wall-crossing for moduli spaces of Bridgeland-stable $G$-constellations.
