## 代数幾何セミナー

2011年 　 7月 20日 15時 30分 ～ 2011年 　 7月 20日 17時 00分

Alvaro Nolla de Celis (学術振興会特別研究員, 名古屋大学)

講演題目 Flops and mutations for crepant resolutions of polyhedral
singularities

Let G be a finite subgroup of SO(3) and consider the so called polyhedral
singularity C3/G. It is known that G-Hilb is a crepant
resolution, which was first studied in the works of Y. Gomi, I. Nakamura
and K. Shinoda. I will explain in the talk how to calculate explicitly
every crepant resolution of C3/G as a moduli of representations of the
McKay quiver Q for the types An, Dn and Tetrahedral, by giving an affine
open cover. Moreover, I will show that there is a 1-to-1 correspondence
between flops of G-Hilb and mutations of Q. This is a joint work with Y.
Sekiya.