Kommende Vorträge

There are various constructions of higher algebraic K-theory that are applicable to different kinds of categorical inputs, and these constructions agree in many settings — most notably, for the algebraic K-theory of a ring. In this talk we will discuss a new, general comparison between Waldhausen’s S-dot construction and Segal’s group completion K-theory for symmetric monoidal categories: given any symmetric monoidal category, we construct a Waldhausen category with an equivalent K-theory spectrum.

Historically, hyperbolic surfaces have been played as drums. During this seminar, we will change the point of view and play them as marimbas: we assign notes to a finite collection of closed geodesics and, following a random geodesic on the surface, we play a note when the corresponding closed curve is hit. We will investigate to what extent the melodies produced determine the hyperbolic surface. We will keep the talk basic, employing most of the time to convince the audience that the question makes sense (and hopefully to hear some melodies). Joint work with Juan Souto.