Date | 2019-10-31 |
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Speaker | 김현규 |

Dept. | 이화여자대학교 |

Room | 27-325 |

Time | 14:00-15:30 |

I will introduce an ordering problem about a simple loop on a triangulated surface. Then I will explain Allegretti-Kim's construction of regular functions on quantum Teichmüller space of a punctured surface, using Bonahon-Wong's quantum trace map. Finally, I will briefly explain how the ordering problem yields the positivity of the coefficients of these regular functions, when written as Laurent polynomials in quantum cluster X variables. This talk is based on the joint paper with S. Cho, H. Kim, and D. Oh (arXiv:1710.06217).

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