Algebra/Topology Seminar

Speaker: Rune Haugseng

Title: Bispans and homotopy-coherent algebras
 
Abstract: I will explain the universal property of (infinity,2)-categories of "bispans". These can be used to encode situations where we have both additive and multiplicative norms that satisfy a distributivity relation; such structures play an important role in equivariant and motivic homotopy theory. Time permitting, I will also discuss ongoing work aimed at using this setup to give a new description of ring-like structures such as genuine equivariant commutative ring spectra and normed motivic spectra. This is joint work with Elden Elmanto.