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math.KT2020
A descent view on Mitchell's theorem
Elden Elmanto, Denis Nardin, Lucy Yang
In this short note, we given a new proof of Mitchell's theorem that for . Instead of reducing the problem to delicate representation th…
math.KT2020
THH and TC are (very) far from being homotopy functors
Elden Elmanto
We compute the -localization of several invariants of schemes namely, topological Hochschild homology (), topological cyclic homology () an…
math.AG2020
Cdh descent, cdarc descent, and Milnor excision
Elden Elmanto, Marc Hoyois, Ryomei Iwasa +1
We give necessary and sufficient conditions for a cdh sheaf to satisfy Milnor excision, following ideas of Bhatt and Mathew. Along the way, we show that the cdh infinity-topos of a…