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Braids, Links and Zeta Functions
发布时间:2021-01-15-05 访问次数:
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.