PIRSA:22020077

Reducedness of quiver varieties

Zhou, Y. (2022). Reducedness of quiver varieties. Perimeter Institute. https://pirsa.org/22020077

Zhou, Yehao. Reducedness of quiver varieties. Perimeter Institute, Feb. 25, 2022, https://pirsa.org/22020077 

          @misc{ pirsa_PIRSA:22020077,
            doi = {10.48660/22020077},
            url = {https://pirsa.org/22020077},
            author = {Zhou, Yehao},
            keywords = {Mathematical physics},
            language = {en},
            title = {Reducedness of quiver varieties},
            publisher = {Perimeter Institute},
            year = {2022},
            month = {feb},
            note = {PIRSA:22020077 see, \url{https://pirsa.org}}
          }

Yehao Zhou University of Tokyo

DOI 10.48660/22020077
Collection
Talk Type Scientific Series
Subject

Abstract

Nakajima’s quiver varieties play important roles in mathematical physics and representation theory. They are defined as symplectic reduction of the space of representations of the doubled quivers, and they are equipped with natural scheme structures. It is not known in general whether this scheme is reduced or not, and the reducedness issue does show up in certain scenario, for example the integration formula of the K-theoretic Nekrasov’s partition function. In this talk I will show that the quiver variety is reduced when the moment map is flat, and I will also give some applications of this result. This talk is based on my work arXiv: 2201.09838.

Zoom Link: https://pitp.zoom.us/j/97405405211?pwd=dEtVeHhQVjNrdGN4Vkh0ZlRrbEpVQT09