Seminar:
Combinatorics Seminar
Event time:
Friday, April 21, 2023 - 9:30am
Location:
Zoom (see Email Announcement)
Speaker:
Kursat Sozer
Speaker affiliation:
McMaster University
Event description:
A relaxed-pace seminar on impromptu subjects related to the interests of the audience. Everyone is welcome.
Special note:
In topology, groups serve as algebraic models for 1-types, which are spaces with vanishing second and higher homotopy groups. Crossed modules, on the other hand, generalize groups and are useful for modeling 2-types. In this talk, we will provide an overview of crossed modules and their properties, focusing on their relationship to topology. We will then introduce crossed module graded categories, which generalize group graded categories, and demonstrate how they can be used to construct homotopy invariants of maps from closed oriented 3-manifolds to 2-types. This is joint work with Alexis Virelizier.