Title: The derived moduli stack of objects in the idempotent completion of a dg category
Speaker: Ezra Getzler
Speaker Info: Northwestern University
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Abstract:
The derived moduli stack of a dg algebra $A$ can be realized as the simplicial derived scheme associated to the tensor product of $A$ with the simplicial dg algebra of normalized chains $C_*(\Delta^\bullet)$ on the cosimplicial space $\Delta^\bullet$. In this talk, I explain how replacement of the normalized chains by the unnormalized chains realizes the derived moduli stack of the idempotent completion of $A$.Date: Monday, July 25, 2022