| Speaker: | Ayako Kubota (Waseda University) |
|---|---|
| Title: | Invariant Hilbert scheme of the Cox realization of the nilpotent cone of type A |
| Date (JST): | Mon, Dec 26, 2022, 15:30 - 17:00 |
| Place: | Hybrid |
| Abstract: | The invariant Hilbert scheme is a moduli space of schemes which are stable under an action of a reductive algebraic group. By a suitable choice of the parameter, it becomes a candidate for a resolution of singularities of a quotient singularity. In the first half of this talk, I will explain two main problems in the study of the invariant Hilbert scheme from the point of view of birational geometry of singularities. One of them is about the invariant Hilbert scheme of the Cox realization of a singularity, and we discuss the case where the singularity is the nilpotent cone of type A in the second half of the talk. |
