Abstract:
Continuous K-theory is an extension of algebraic K-theory introduced by A. Efimov which allows for new kinds of inputs, namely聽dualizable categories.聽聽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聽allows us to revisit some old theorems in geometric topology around the notion of simple homotopy.聽
- Arrangør: Centre for Quantum Mathematics
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- Kontakt Email: qm@sdu.dk
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