Title: Coherence for pseudo symmetric multifunctors and applications to $K$-theoryAbstract: Multicategories where introduced by Elmendorf and Mandell in homotopy theory as an alternative way to encode multiplicative structures in the absence of symmetric monoidal structures. In a sense, they allow us to talk about multilinear maps even when we can't talk about tensor products. This […]

Title: Towards a (3+1)-dimensional TQFT from TMFAbstract: I will discuss work in progress, joint with Sergei Gukov, Lennart Meier, and Du Pei, concerning a construction of a 4-manifold invariant using the theory of topological modular forms, and TQFT properties of this invariant. This is a mathematical construction related to a particular instance of the Gukov-Pei-Putrov-Vafa […]

Title: THH(Z) and the image of JAbstract: I will try to overview some ideas from chromatic homotopy theory, including the "redshift" and "blueshift" phenomena therein, and then describe a result, obtained in joint work with Sanath Devalapurkar, that illustrates these phenomena, relating the two objects named in the talk's title.