A counterexample to conjectures in negative K-theory

Abstract: In a 2006 article Schlichting conjectured that the negative K-theory of any abelian category must vanish. And in a 2019 article Antieau, Gepner and Heller generalized, conjecturing that the negative K-theory of any infinity-category with a bounded t-structure must vanish.

We will review the history, explain why both conjectures are plausible, and then sketch a counterexample disproving both.

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.