Bonn Topology Group - Abstracts
General Information - Members - Activities - Topology Seminar
Talk
May 19th 2020
Julia Semikina (RFWU Bonn): Cut-and-paste invariants of manifolds via algebraic K-theory
Abstract
Recent work of Zakharevich and Campbell has focused on developing the K-theoretic machinery to study scissors congruence problems and applying these tools to the Grothendieck ring of varieties. In this talk we will discuss a new application of their framework to study the so called cut-and-paste invariants of manifolds (joint work with R. Hoekzema, M. Merling, L. Murray, and C. Rovi). Namely, we will describe a K-theory spectrum, which recovers the classical groups SK_n ("schneiden und kleben" is German for "cut and paste") as its zeroth homotopy group. We will also describe how the Euler characteristic, which is an example of a cut-and-paste invariant, fits into this new setup. Further we discuss what is conjecturally expected from the higher homotopy groups of the constructed spectrum and its potential connection to the classical notions such as Madsen-Tillmann spectra.
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