K-Motives and Koszul Duality


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}}

Jens Eberhardt Max Planck Institute for Mathematics


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.