|タイトル||Activity measures of dynamical systems over non-archimedean fields|
|開催日時||2019年4月25日 13:00 - 14:00 + 30min.|
|場所||Yagami campus, Keio Univ.
Building 14, Room 631A/B
|内容||The study of C*-algebras associated to étale groupoids, known to be groupA non-Archimedean field (NA field) is a field with an absolute value which satisfies the strong triangle inequality. For a polynomial with coefficients in an NA field K, one can consider a discrete dynamical system over K by iteration. Also, for an analytic family of polynomials, one can consider a deformation of dynamics. These dynamics appear naturally when one considers number-theoretic problems in complex & arithmetic dynamics. For an analytic family of polynomials over K, I constructed a measure, called an activity measure, which describes the stability of asymptotic of a critical point. Starting with gentle introduction on NA fields, I would explain stabilities related to families of dynamics over NA fields, construction of our measure, and their relations and properties.|