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The motivic weight of the stack of Azumaya algebras over an elliptic curve Thieu, Ellie

Abstract

This thesis studies the motivic weight of the stack of Azumaya algebras on an elliptic curve, with the goal to express it in terms of the motivic zeta function. This proves an interesting case of the conjecture by Behrend and Dhillon. The general conjecture is notable not only for computing the motive of the stack of G-torsors, but also for its implication in defining the motivic Tamagawa number.

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Attribution-NonCommercial-NoDerivatives 4.0 International

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