Online seminar, U. Haifa Topology & Geometry seminar on January 17, 2021
A recording of the talk is available here.
Topology & Geometry Seminar
Speaker: Lennart Meier, Utrecht University
Topic: Algebraic K-theory from a v_n-periodic point of view
Place: This is an online seminar. Please email David Blanc “blanc at math dot haifa dot ac dot il” for the Zoom ID and password.
Date: Sunday, January 17, 2021
Algebraic K-theory is a basic invariant of ring spectra. Fundamental properties of the rational homotopy groups of algebraic K-theory have been understood since Waldhausen. From the chromatic point of view, the rational homotopy groups are just the height-0 case of the more general concept of v_n-periodic homotopy groups. In joint work with Land, Mathew and Tamme we could recently show analogues of Waldhausen’s results for these v_n-periodic homotopy groups. In this talk I will give an introduction to these results and how the interplay between stable and unstable v_n-periodic homotopy groups is a crucial ingredient