Date/Time: 8 September 2023, 4:30pm ET
 Location: Elizabethtown College, Esbenshade 382 and Zoom
  Speaker: Naruki Masuda, Johns Hopkins University
    Title: The Tensor Product of Categorical Spectra: The First
                  Step Towards Higher^2 Algebra

  Abstract: Abelian groups and their tensor product is the base on
which all the algebraic geometry is built. Their homotopical analog,
spectra, also admit a canonical tensor product. In fact, its robust
implementation unlocked the highly successful development of the "brave
new" algebraic geometry. Categorical spectra are spectra's higher
categorical generalizations: we consider sequences of pointed $(\infty,
\infty)$-categories, instead of pointed spaces, related by the loop
operation. I will explain why this may be a reasonable thing to even
think about. After that, I will explain why constructing a tensor
product here is trickier, how I did it and what are the difficulties
ahead.