![Loading Events](https://math.sciences.ncsu.edu/wp-content/plugins/the-events-calendar/src/resources/images/tribe-loading.gif)
- This event has passed.
Pure Math Graduate Student Seminar: Kylan Schatz, NC State, Abelian 3-cocycles from Quadratic Forms – Quinn’s Formula
October 17, 2022 | 3:00 pm - 4:00 pm EDT
For some nice subclass of braided monoidal categories, the associator and braiding data are described by an Abelian 3-cocycle . Eilenberg and MacLane demonstrated a surprisingly simple isomorphism between the groups of Abelian 3-cocycles with coefficients in
and quadratic forms with coefficients in
, the trace map
by
. Like many category theoretical results, this was proven at the level of topology. In this talk, I will elaborate how to algebraically reconstruct an Abelian 3-cocycle
given a quadratic form
following results from arXiv:2005.05243.
Zoom Meeting link: https://ncsu.zoom.us/j/95923219557?pwd=T3MzUEZRazRaY2tBdjl1dFVJOG50QT09