09-06【Guangming Hu】The asymptotic geometry of conformal grafting rays for rational laminations

Time:2022-09-05Views:27

Speaker:  Guangming Hu (Jinling Institute of Technology)

Time: 16:00-17:00, Sep 6, 2022

Room: Room 5106, the Fifth Teaching Building



This talk focus on the geometry of grafting rays. We estimate the extremal length of a simple closed curve along the conformal grafting ray determined by any rational lamination. Furthermore, we calculate the endpoint of this conformal grafting ray in the Gardiner-Masur compactified Teichm\"uller space. Finally, we obtain a formula of the limit distance of the Teichm\"uller metric between these two conformal grafting rays.