# Calista Bernard: Postdoc day, Seminar 1: Twisted homology operations

**Time: **
Fri 2022-01-21 13.30 - 14.00

**Location: **
Zoom, meeting ID: 921 756 1880

**Video link: **
https://kva-se.zoom.us/j/9217561880

**Participating: **
Calista Bernard (Stanford University)

**Abstract:** In the 70s, Fred Cohen and Peter May gave a description of the mod p homology of a free \(E_n\)-algebra in terms of certain homology operations, known as Dyer–Lashof operations, and the Browder bracket. I will discuss a framework to generalize these operations to homology with certain twisted coefficient systems and give a description of the homology of a free \(E_{\infty}\)-algebra in terms of these operations. I will also give an overview of work in progress on twisted homology operations for \(E_2\)-algebras and discuss an application to mixed braid groups.