Unfolding of symmetric monoidal (∞,n)-categoriesMPIM

by Rune Haugseng (NTNU Trondheim)

Monday Dec 15, 2025, 2:00 PM → 3:00 PM Europe/Berlin

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

MPIM Topology Seminar

In Lurie's article on the Cobordism Hypothesis, he discusses a description of symmetric monoidal (∞,n)-categories with duals for objects and certain adjoints as "chain complexes" of symmetric monoidal ∞-categories with duals, but does not give a proof. I will discuss an approach to proving this based on a general description of closed symmetric monoidal V-enriched ∞-categories as lax symmetric monoidal functors to V. This is work in progress with Thomas Nikolaus.