Motives of Algebraic Stacks

Date: 2021-11-16

Time: 15:00 - 16:00

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Neeraj Deshmukh


We construct the motive of an algebraic stack in the Nisnevich topology. For stacks which are Nisnevich locally quotient stacks, we give a presentation of the motive in terms of simplicial schemes and show that many of the properties of motives of smooth schemes also continue to hold for motives of smooth algebraic stacks. As an application we show that for quotient stacks motivic cohomology is isomorphic to the Edidin-Graham-Totaro Chow groups with integer coefficient. This is joint work with U. Choudhury and A. Hogadi.