PIRSA:18020075

Symplectic resolutions of quiver varieties

Bellamy, G. (2018). Symplectic resolutions of quiver varieties. Perimeter Institute. https://pirsa.org/18020075

Bellamy, Gwyn. Symplectic resolutions of quiver varieties. Perimeter Institute, Feb. 21, 2018, https://pirsa.org/18020075 

          @misc{ pirsa_PIRSA:18020075,
            doi = {10.48660/18020075},
            url = {https://pirsa.org/18020075},
            author = {Bellamy, Gwyn},
            keywords = {Mathematical physics},
            language = {en},
            title = {Symplectic resolutions of quiver varieties},
            publisher = {Perimeter Institute},
            year = {2018},
            month = {feb},
            note = {PIRSA:18020075 see, \url{https://pirsa.org}}
          }

Gwyn Bellamy

University of Glasgow

Talk number
PIRSA:18020075
Collection
Talk Type
Subject
Abstract

Quiver varieties, as introduced by Nakaijma, play a key role in representation theory. They give a very large class of symplectic singularities and, in many cases, their symplectic resolutions too. However, there seems to be no general criterion in the literature for when a quiver variety admits a symplectic resolution. In this talk, I will give necessary and sufficient conditions for a quiver variety to admit a symplectic resolution. This result builds upon work of Crawley–Boevey and of Kaledin, Lehn and Sorger. The talk is based on joint work with T. Schedler.