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Some recent progress on the volume conjecture for Reshetikhin-Turaev invariants

杨田 Assistant Professor(Texas A&M University)
Saturday, May 30th, 2020, 4:00 PM  ZOOM房间号:274 175 4144,密码:930643
报告平台:ZOOM房间号:274 175 4144,密码:930643
报告摘要:In this talk, I will first give an overview of the volume conjecture for the Reshetikhin-Turaev and the Turaev-Viro invariants posed by Qingtao Chen and myself. Then I will present a recent joint work with Ka Ho Wong where we prove the conjecture for all hyperbolic 3-manifolds obtained by doing a rational surgery along the Figure-8 knot. If time permits,some applications to the quantum representations of the mapping class group will be mentioned.
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