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Algebra and Geometry Seminar

Monday, October 30, 2017
4:00pm to 5:00pm
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Building 15, Room 104
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.
For more information, please contact Mathematics Dept. by phone at 626-395-4335 or by email at mathinfo@caltech.edu.