## EVENT DETAILS AND ABSTRACT

**Topology Seminar**
**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.

**Date:** Monday, February 10, 2020

**Time:** 4:10pm

**Where:** Lunt 104

**Contact Person:** Eva Belmont

**Contact email:** ebelmont@northwestern.edu

**Contact Phone:** 847-467-1634

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