Categorical Spectra with AdjointsConfirmed

by Naruki Masuda (Northwestern University)

Thursday May 21, 2026, 11:00 AM → 12:30 PM America/Toronto

PI/4-405 - Bob Room (Perimeter Institute for Theoretical Physics)

Categorical spectra generalize spectra by allowing each level to be a pointed (∞,∞)-category rather than a space(=(∞,0)-category). After reviewing facts on Gray tensor products and stability of Gray-enriched categories, we will focus on what happens when we ask each level to have adjoints. We will in particular make some observations based on/related to the cobordism hypotheses.