Braids, Links and Zeta Functions
报告人:李维萍教授,美国俄克拉荷马州立大学终身教授、国家“千人计划”学者 时间:2019年12月24日(周二)下午15:00
报告地点:行健楼学术活动室665
邀请人:贺伟教授
摘要:We study zeta functions defined from a symplectic diffeomorphism on the SU(2)-representation variety of the closure of a braid. Using iterated braids and their closures, the corresponding link invariants can be formulated into a zeta function of periodic orbit of symplectic diffeomorphisms. We show that zeta functions of a geometric and algebraic countings of fixed points are convergent by using a method of Artin and Mazur related to Nash manifolds.