PIRSA:19090102 Scientific Series Mathematical physics

DOI10.48660/19090102

Series: Mathematical Physics

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_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}}
}

Abstract

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.

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