School of Mathematical Sciences

Reflection Structures and Spin Statistics in Low Dimensions

Location
Online Zoom Meeting
Date(s)
Monday 5th December 2022 (15:00-16:00)
Contact
Event Convenor Contact: Robert.Laugwitz@nottingham.ac.uk
Description
Speaker's Name: Lukas Mueller
Speaker's Affiliation: Perimeter Institute
Speaker's Research Theme(s): Quantum mathematics,
Abstract:
In physics the spin of a particle determines its statistics. Furthermore, physical systems (in Euclidean signature) usually have a reflection structure, i.e. an identification of orientation reversal with complex conjugation. Neither of these two structures is part of Atiyah's original definition of topological quantum field theories. They can be formulated in the setting of functorial field theories as equivariant symmetric monoidal functors from a bordism category to an appropriate target. Based on the cobordism hypothesis I will present a complete classification of such functors in dimension one and two. The answers can be formulated in terms of algebraic objects associated to an internal fermionic symmetry (2-)group. The talk is based on joint work in progress with Luuk Stehouwer.
Part of online seminar series https://sites.google.com/view/equalseminar/home
Venue: Online Talk
Online Conference Link: https://cardiff.zoom.us/j/83918966044?pwd=NFpUYUl5MytrYm01UVptZW42M3lhZz09

School of Mathematical Sciences

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