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Algebraic Geometry Seminar
Seminar information archive ～10/29｜Next seminar｜Future seminars 10/30～
| Date, time & place | Friday 13:30 - 15:00 118Room #118 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | GONGYO Yoshinori, KAWAKAMI Tatsuro, ENOKIZONO Makoto |
2026/11/06
13:15-14:45 Room #118 (Graduate School of Math. Sci. Bldg.)
Shu Nimura (Nagoya University)
Moduli spaces of $G$-constellations on $\mathbb{C}^2$ and their birational geometry
Shu Nimura (Nagoya University)
Moduli spaces of $G$-constellations on $\mathbb{C}^2$ and their birational geometry
[ Abstract ]
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.
