Dear Colleagues and Students,
You are cordially invited to the Algebra Seminar organized by the Department of Mathematics.
Speaker: Hatice Mutlu (UCLA)
“Mackeyfication of Equivariant Categories.”
Abstract: Mackey functors associate modules to finite groups, together with restriction, induction, and conjugation maps motivated by representation theory.
Boltje constructed two ways of approximating restriction and conjugation functors by Mackey functors. In this talk, I will describe a categorification of these constructions using Mackey 2-functors. Starting from equivariant categories, we construct left and right mackeyfications by enlarging the original categories in a minimal way so that induction appears. We also relate the two constructions by a mark transformation and discuss examples. This is based on our recent preprint, arXiv:2607.11767, joint work with Paul Balmer.
Date: 10 September 2026
Time: 15:30
Place: SA-141