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Geometry-Topology Seminar

Thursday, April 18, 2019 - 4:30pm

David Gepner

Purdue University


University of Pennsylvania


Schlichting conjectured that the negative K-groups of an abelian category vanish and proved this for noetherian abelian categories. Neeman's theorem of the heart, proved by Barwick, relates the algebraic K-theory of a derived category equipped with a t-structure to that of its heart, an abelian category. In this talk we will introduce algebraic K-theory, discuss recent joint work with Ben Antieau and Jeremiah Heller on the analogue of Schlichting's conjecture in the setting of derived categories, prove a version of the theorem of heart for nonconnective K-theory, and show more generally that the existence of bounded t-structures are obstructed by the nonvanishing of negative K-groups.


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