Christian Schlichtkrull :
"Topological Linear Algebra."
In the algebraic topological setting the notion of a spectrum is the analogue of an abelian group and the notion of a ring spectrum the analogue of an ordinary ring. These notions are motivated by the study of topological spaces: a spectrum represents a cohomology theory and a ring spectrum represents a multiplicative cohomology theory. Recent advances in the understanding of these objects makes it possible to incorporate linear algebra concepts such as modules, traces and characteristic polynomials into this setting. In this talk we shall give a non-technical introduction to this circle of ideas and discuss the relevance for algebraic K-theory.
1430-1530 i pausearealet i 7. etage
Kaffe og kjeks fra kl 1400