A McShane identity for oncepunctured super tori
Seminar/Forum
Classical Teichmueller theory is the study of marked hyperbolic surfaces, and Penner's decorated Teichmueller theory is a particular algebraic approach which has resulted in powerful and widereaching generalizations via Fock and Goncharov's version of higher Teichmueller theory. There has been exciting recent progress in a different direction: super decorated Teichmueller theory, whereby the role traditionally taken up by the real numbers R is supplanted by a noncommutative Grassmann algebra. This generalised theory corresponds to super hyperbolic surfaces, and we establish McShane identities for oncepunctured super tori. We also study the asymptotic behaviour of the super length spectrum for the set of simple closed geodesics for oncepunctured super tori.
Presenter

Dr Yi Huang, Yau Mathematical Science Center, Tsinghua University