Event - Math

February 25, 2019 2:00 PM - 3:00 PMCAB 657

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Speaker : Yorck Sommerhhäuser, Memorial University Title: Hopf Algebras, Congruence Subgroups, and Frobenius-Schur Indicators Abstract: An important property of a semisimple factorizable Hopf algebra is that the modular group acts on its character ring. As it turns out, it is not the entire modular group that acts, but only a finite quotient: The kernel of the action is a congruence subgroup. In the talk, we will see how certain generalizations of Frobenius-Schur indicators can be used to establish this result. The talk is based on joint work with Y. Zhu.