EVENT DETAILS AND ABSTRACT

Title: A real Hochschild--Kostant--Rosenberg theorem
Speaker: Lucy Yang
Speaker Info: Harvard University
Brief Description:
Special Note:
Abstract:

Grothendieck--Witt and real K-theory are enhancements of K-theory in the presence of duality data. Similarly to ordinary K-theory, real K-theory admits homological approximations, known as real trace theories. In this talk, I will identify a filtration on real Hochschild homology and compute the associated graded in terms of an analogue of de Rham forms. We will see how C₂ genuine equivariant algebra is the natural setting for these theories, provide equivariant enhancements of the cotangent and de Rham complexes, and sketch the proof of the main theorem. This work is both inspired by and builds on that of Raksit.