EVENT DETAILS AND ABSTRACT

Title: Weibel's conjecture for twisted algebraic K-theory
Speaker: Joel Stapleton
Speaker Info: UIC
Brief Description:
Special Note:
Abstract:

Weibel's conjecture for algebraic K-theory states that the negative K-groups of a d-dimensional quasi-compact quasi-separated scheme vanish below -d. Kerz--Strunk--Tamme have proven Weibel's conjecture in generality by establishing pro cdh-descent for algebraic K-theory. Using recent work of Land--Tamme, I will prove the same statement for twisted algebraic K-theory. To define twisted algebraic K-theory, we need a scheme and a cohomology class in H^2(X, G_m). We can then build an oo-category of perfect complexes of twisted modules and take its algebraic K-theory using the machinery of BGT for instance.