Trigroups and M-theory
By John Huerta (CAMGSD, Instituto Superior Técnico, U. Lisboa)
A trigroup is a tricategory with one object and all 1-, 2- and 3-morphisms invertible . M-theory is a mysterious branch of physics believed to unify the five 10D string theories and 11D supergravity. Without assuming any knowledge of physics, we will describe how the mathematics of M-theory leads naturally to a certain trigroup .
 N. Gurski, An algebraic theory of tricategories, Ph.D. thesis, Department of Mathematics, University of Chicago, 2006.
 J. Huerta, Division Algebras, Supersymmetry and Higher Gauge Theory, Ph.D. Thesis, Department of Mathematics, UC Riverside, 2011. Available as arXiv:1106.3385.