SEMINARIO DI GEOMETRIA ALGEBRICA

Nell'ambito del seminario congiunto di geometria algebrica organizzato
dai Dipartimenti di Matematica dell'Università e del Politecnico di Milano,

giovedì 29 Settembre alle 14:00 (durata 1 ora)

in Sala di Rappresentanza del Dipartimento di Matematica "F. Enriques",

 

si terrà il seguente seminario:

Bjorn Ian Dundas
(University of Bergen)

Algebraic K-theory through trace methods

Abstract: Whether you’re in algebraic geometry, number theory, operator algebras, topological geometry, or physicist of the appropriate kind, algebraic K-theory encodes important structure. So it is only natural that K-theory is fiendishly hard to calculate. Twenty five years after Quillen’s definition of higher algebraic K-theory, next to no complete calculations had appeared. The last twenty five years, this has changed dramatically. Broadly speaking, there are now two inroads: motivic cohomology and topological cyclic homology. I plan to talk about the latter, starting from generalities and a historical overview and highlighting some of the most important break-throughs.