Triangulated derivators and their K-theory

Triangulated derivators are yet another enhancement of triangulated categories introduced by Grothendieck in the early 1990s. In some sense, they are closer to triangulated categories than any other enhancement, yet they have enough structure to define nice K-theories for them. I will give a survey of results about K-theories of triangulated derivators and how they compare to each other and to Quillen's and Waldhausen's K-theory. I will start with Maltsiniotis's conjectures and then discuss a more recent proposal made jointly with Raptis from a higher categorical perspective.Non UBCUnreviewedAuthor affiliation: Universidad de SevillaFacult