| Speaker: | Yingchun Zhang (IAS in Mathematics, Zhejiang U) |
|---|---|
| Title: | A cluster algebra in the quantum cohomology of a quiver variety |
| Date (JST): | Wed, Oct 25, 2023, 15:30 - 17:00 |
| Place: | Seminar Room A |
| Abstract: |
The Gromov-Witten theory of a quiver variety is expected to be preserved by quiver mutation according to Seiberg duality, which has been proved to be true for A-type and star-shaped quivers. Cluster algebra can be constructed for a given quiver via quiver mutation. The two subjects Gromov-Witten and cluster algebra seem to differ a lot. Howerver, when we move to the quantum cohomology of a quiver variety, Benini-Park-Zhao’s work indicates that there should be a cluster algebra structure in the quantum cohomology ring of the quiver variety. In this talk, I will introduce our recent work about the construction of such a cluster algebra structure in the quantum cohomology of a quiver variety. In particular, we will give a proof of the construction for A-type cluster algebra in quantum cohomology of a flag variety. This is a joint work with Weiqiang He. |
| Remarks: | Seminar Room A + Zoom |
