Condensed Learning Seminar

Efimov K-Theory

Introduce the notion of Verdier sequences of presentable stable -categories and then discuss the behavior of dualizable -categories in Verdier sequence; in particular, discuss Thomason's trick. Introduce the notion of localizing invariants of small stable -categories and then illustrate it by non-connective K-theory. In particular, define negative K-groups for commutative rings by classical means and then explain its relation to the definition of non-connective K-theory as the universal localizing Sp-valued invariant under core. Following Efimov, prove that localizing invariants extend uniquely to all dualizable stable -categories.

Date & Time

February 16, 2024 | 2:30pm – 4:30pm

Location

Princeton University, Fine Hall 314

Event Series