Categorical Hikita Duality


McBreen, M. (2019). Categorical Hikita Duality. Perimeter Institute. https://pirsa.org/19090102


McBreen, Michael. Categorical Hikita Duality. Perimeter Institute, Sep. 26, 2019, https://pirsa.org/19090102


          @misc{ pirsa_19090102,
            doi = {10.48660/19090102},
            url = {https://pirsa.org/19090102},
            author = {McBreen, Michael},
            keywords = {Mathematical physics},
            language = {en},
            title = {Categorical Hikita Duality},
            publisher = {Perimeter Institute},
            year = {2019},
            month = {sep},
            note = {PIRSA:19090102 see, \url{https://pirsa.org}}

Michael McBreen University of Aarhus


I will discuss joint work with Roman Bezrukavnikov on a categorical version of Hikita duality, which relates coherent sheaves on a symplectic resolution to constructible sheaves on the loop space of the dual resolution. I will focus on a basic case, where this can be made very explicit, and finish with some wild speculation on further generalisations.