image/svg+xml The application that started it all: flat 2-functors Application 2: lifting limits of algebra morphisms Bonus track: PIE sigma limits Thank you! Example: finite sigma limits Axioms for σ-(co)filtered Sigma strict limits (joint with Descotte and Dubuc) Sigma (bi)limits The Grothendieck construction absorbs weights σ What did we find? Current and future work o DD: lim wrt {(f,id)}, neither a lax nor a pseudolimit
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