Time: 2:00 - 3:00 PM

Date: March 10, 2026

Location: 1146 Faculty/Administration Building

Speaker: Eva Belmont (Case Western Reserve University)

Title: Synthetic approaches to equivariant homotopy theory

Abstract: Synthetic homotopy theory is a general framework for constructing
interesting contexts for doing homotopy theory: using the data of a spectral
sequence in some category $mathcal{C}$, one can construct another category
which can be viewed as a deformation of $mathcal{C}$. The motivating example
of such a theory is ($p$-complete, cellular) $mathbb{C}$-motivic spectra,
which is a deformation of $mathcal{C}=mathrm{Sp}$. Burklund, Hahn, and Senger
showed that $mathbb{R}$-motivic homotopy theory is a deformation of the
category of $C_2$-equivariant spectra. I will discuss work in progress to
construct deformations of $G$-equivariant homotopy theory for other groups $G$.
This is joint with Gabriel Angelini-Knoll, Mark Behrens, Hana Jia Kong, and
Maxwell Johnson.