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Seminar Gæsteforelæsning

19.08.2024   at 15:00 - 16:00

QM Research Seminar: Continuous K-theory and simple homotopy theory

Speaker: Maxime Ramzi (University of Copenhagen)


Abstract:

Continuous K-theory is an extension of algebraic K-theory introduced by A. Efimov which allows for new kinds of inputs, namely dualizable categories.  After making a few recollections about the role of algebraic K-theory in geometric topology as pioneered by Wall, I will discuss how the continuous K-theory of categories of sheaves and related objects allows us to revisit some old theorems in geometric topology around the notion of simple homotopy.