| Speaker: | Ryo Yamagishi (Kavli IPMU) |
|---|---|
| Title: | Moduli of G-constellations and crepant resolutions for abelian groups |
| Date (JST): | Thu, Feb 04, 2021, 15:30 - 17:00 |
| Place: | Zoom |
| Related File: | 2624.pdf |
| Abstract: | For a finite subgroup G of SL(n), a moduli space of G-constellations is a generalized notion of the G-Hilbert scheme and it gives a natural candidate for a crepant resolution of the quotient singularity C^n/G. Whether or not every crepant resolution X of C^n/G (n≧3) is obtained as such a moduli space is an open problem and is solved only in the case of projective resolutions X of dim 3 with G abelian by Craw and Ishii. In this talk I will discuss this problem for abelian G and give a condition for X to be a moduli space in terms of families of G-constellations on X. |
