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Vanishing negative K-theory and bounded t-structures

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KAH2 - K-theory, algebraic cycles and motivic homotopy theory

Negative K-theory has a long history, with much work over the decades. We will mostly focus on a new angle, coming from a 2019 article by Antieau, Gepner and Heller: the main theorem showed that the nonvanishing of negative K-theory is an obstruction to the existence of bounded t-structures satisfying some noetherianity conditions.   This fascinating 2019 article made a few conjectures, some of which have been resolved by now. We will review this, as well as outline problems that remain open.

This talk is part of the Isaac Newton Institute Seminar Series series.

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