Monday, October 30, 2017
Algebra and Geometry Seminar
Monodromic complexes, Koszul duality, and tilting characters of reductive
Shotaro Makisumi, Department of Mathematics, Columbia University
Homological algebra studies the equation d^2 = 0. I will introduce "monodromic complexes," for which d^2 is allowed to be nonzero in some measurable way ("monodromy"), and discuss what the homological algebra of such non-complexes has to do with Koszul duality for flag varieties and (after many translations) the representation theory of reductive groups in positive characteristic. Based on joint work with P. Achar, S. Riche, and G. Williamson.