Title: Exceptional surgeries on alternating knots
Speaker: Kazuhiro Ichihara (Nihon University)
Abstract: In the talk, we will consider exceptional surgeries on two family of knots in the 3-sphere; alternating knots and Montesinos knots. Actually we will give complete classifications of exceptional surgeries on such knots. For the case of alternating knots, it can be achieved by performing (super-)computer-aided calculations. This technique also give the final step to complete the classification of exceptional surgeries on Montesinos knots. This talk is based a joint work with Hidetoshi Masai.