Seminar des SFB/TRR 326 GAUS Algebraic K-theory and the universal localising invariant
- Friday, 4. July 2025, 13:30
- INF 205, SR A and Livestream
- Dr. Christoph Winges (Universität Regensburg)
Address
INF 205, SR A and Livestream
Live-stream
Organizer
Dr. Christian Dahlhausen
Event Type
Talk
Essentially by construction, the abelian group K_0 is the target of the universal rank function for various types of objects, including finitely generated projective modules and perfect chain complexes. Over the last couple of decades, it has become possible to formulate and prove a similar universal property for higher algebraic K-theory in the sense of Quillen and Waldhausen. A closer inspection of various localisation phenomena in algebraic K-theory leads to the notion of a localising invariant, among which algebraic K-theory enjoys a similar universal property due to work of Blumberg, Gepner and Tabuada. I will survey these results and, as time allows, discuss an alternative perspective on parts of this story that I obtained in recent joint work with Ramzi and Sosnilo.