Algebraic Topology Seminar
Monday, November 02, 2020 at 4:30pm
Virtual EventFeatured Speaker : Piotr Pstragowski (Harvard University)
Title : Franke's algebraicity conjecture
Abstract : In 1996, Jens Franke conjectured that any stable infinity-category possessing an Adams spectral sequence whose sparsity is greater than the homological dimension, admits a purely algebraic description of its homotopy category as a certain derived category. In this talk, I'll describe joint work with Irakli Patchkoria in which we prove Franke's conjecture, subsuming and improving on virtually all known algebraicity results for stable infinity-categories.
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