PIRSA:20060044 Conference Mathematical physics

DOI10.48660/20060044

Conference/School: Geometric Representation Theory

Eberhardt, J. (2020). K-Motives and Koszul Duality. Perimeter Institute. https://pirsa.org/20060044

Eberhardt, Jens. K-Motives and Koszul Duality. Perimeter Institute, Jun. 26, 2020, https://pirsa.org/20060044 

@misc{ pirsa_PIRSA:20060044,
  doi = {10.48660/20060044},
  url = {https://pirsa.org/20060044},
  author = {Eberhardt, Jens},
  keywords = {Mathematical physics},
  language = {en},
  title = {K-Motives and Koszul Duality},
  publisher = {Perimeter Institute},
  year = {2020},
  month = {jun},
  note = {PIRSA:20060044 see, \url{https://pirsa.org}}
}

Abstract

Koszul duality, as conceived by Beilinson-Ginzburg-Soergel, describes a remarkable symmetry in the representation theory of Langlands dual reductive groups. Geometrically, Koszul duality can be stated as an equivalence of categories of mixed (motivic) sheaves on flag varieties. In this talk, I will argue that there should be an an 'ungraded' version of Koszul duality between monodromic constructible sheaves and equivariant K-motives on flag varieties. For this, I will explain what K-motives are and present preliminary results.

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