Bonn Topology Group - Abstracts
General Information - Members - Activities - Topology Seminar
Talk
December 11th 2018
Benjamin Böhme (RFWU Bonn): Idempotent splittings of G-equivariant commutative ring spectra.
Abstract
Let G be a finite group. Given a G-equivariant commutative ring spectrum, any idempotent element of its homotopy ring gives rise to a splitting of the spectrum into "idempotent summands". These summands behave in a surprising way: other than in commutative algebra or non-equivariant spectra, they need no inherit a commutative ring structure. I will discuss this phenomenon in detail for the equivariant sphere spectrum and for equivariant topological K-theory and present a simple group-theoretic characterization of the "best possible" ring structures on their idempotent summands. An important ingredient is the classification of idempotents in the (p-local) representation ring of G, which was not previously known and may be of independent interest.
Back to seminar page
Aktuelles
Bonner Mathematik schneidet bei QS-Ranking wieder hervorragend ab
Stefan Schwede eingeladener Sprecher auf dem ECM 2024 in Sevilla
Cole Prize für Jessica Fintzen
Regula Krapf erhält Lehrpreis der Universität
Catharina Stroppel in Nordrhein-Westfälische Akademie der Wissenschaften und Künste aufgenommen.
Daniel Huybrechts erhält Compositio Prize für die Periode 2017-2019
Catharina Stroppel erhält Gottfried Wilhelm Leibniz-Preis 2023
Stipendien für Mathematikstudierende aus der Ukraine
Jessica Fintzen erhält einen Whitehead Prize der London Mathematical Society