PIRSA:26050062

Categorical Spectra with Adjoints

APA

Masuda, N. (2026). Categorical Spectra with Adjoints. Perimeter Institute for Theoretical Physics. https://pirsa.org/26050062

MLA

Masuda, Naruki. Categorical Spectra with Adjoints. Perimeter Institute for Theoretical Physics, May. 21, 2026, https://pirsa.org/26050062

BibTex

          @misc{ scivideos_PIRSA:26050062,
            doi = {10.48660/26050062},
            url = {https://pirsa.org/26050062},
            author = {Masuda, Naruki},
            keywords = {Mathematical physics},
            language = {en},
            title = {Categorical Spectra with Adjoints},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2026},
            month = {may},
            note = {PIRSA:26050062 see, \url{https://scivideos.org/pirsa/26050062}}
          }
          

Naruki Masuda Northwestern University

Talk numberPIRSA:26050062
Source RepositoryPIRSA

Abstract

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.