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.

algebraic topology

Audience: researchers in the topic

MIT topology seminar

Series comments: We meet at varying times on Monday. Click here to join the zoom meeting . The Zoom meeting room number is 132-540-375.

The mailing list for this seminar is the MIT topology google group. Email Mike Hopkins if you want to join the list.