Trace Methods & Localization SequencesMPIM

by Qi Zhu (Universität Bonn/MPIM)

Friday Feb 6, 2026, 10:15 AM → 11:45 AM Europe/Berlin

MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

IMPRS seminar on various topics: Topological Hochschild homology and topological cyclic homology

We rapidly introduce the trace maps K \to THH and K \to TC as the master tool to understand algebraic K-theory. We indicate an application by sketching Antieau--Barthel--Gepner's argument showing that the localization sequence K(BP<n-1>) ---> K(BP<n>) ---> K(E(n)) is not a fiber sequence for n \geq 2. This answers a question of Rognes negatively.