Homotopy theory in a world without inversesMPIM

by Hadrian Heine (MPIM)

Thursday Oct 8, 2026, 3:00 PM → 4:00 PM Europe/Berlin

MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

MPI-Oberseminar

Higher categories can be thought of as directed analogues of spaces: while all paths in a homotopy type are invertible, higher categories also contain genuinely non-invertible morphisms.
In this talk, I will discuss to what extent the methods of classical homotopy theory can be extended to this directed setting.