杨佳刚教授报告(Universidade Federal Fluminense)
地点：维格堂113
报告题目： Three dimensional derived-Anosov diffeomorphisms: I: Mane's example and Pujals-Sambarino's 'SH' condition
报告时间 2017年7月17日08:30-09:30
报告摘要 This is a series talks on the three dimensional derived-Anosov diffeomorphisms. A three dimensional diffeomorphism is called
derived-Anosov if it is partially hyperbolic and is in the same isotopy class of a linear Anosov diffeomorphism $A$.
In the first talk, we recall the construction of Mane's example, and a generalization of the construction by Pujals-Smabarino with a condition called 'SH'.
报告题目： Three dimensional derived-Anosov diffeomorphisms: II: Mane's example and partially hyperbolic diffeomorphisms with mostly contracting center
报告时间 2017年7月17日09:30-10:30
报告摘要 In this talk we will introduce the Bonatti-Viana's definition on partially hyperbolic diffeomorphism with msotly contracting center, and show that the Mane's example has mostly contracting center.
报告题目： Three dimensional derived-Anosov diffeomorphisms: III: General theory on diffeomorphisms with mostly contracting center
报告时间 2017年7月17日10:30-11:30
报告摘要 In this talk we introduce a general theory of Dolgopyat, Viana and myself on partially hyperbolic diffeomorphisms with mostly conntracting center.
报告题目： Three dimensional derived-Anosov diffeomorphisms: IV: Mane's example and partially hyperbolic diffeomorphisms with mostly expanding center
报告时间 2017年7月17日11:30-12:30
报告摘要 In this talk we will introduce the Alves-Bonatti-Viana's definition on partially hyperbolic diffeomorphism with msotly expanding center, and show that the Mane's example has mostly expanding center.
报告题目： Three dimensional derived-Anosov diffeomorphisms: V: General theory on diffeomorphisms with mostly expanding center
报告摘要 In this talk we introduce a general theory on partially hyperbolic diffeomorphisms with mostly expanding center.
报告题目： Three dimensional derived-Anosov diffeomorphisms: VI: Topological classification of three dimensional derived-Anosov diffeomorphism
报告时间 2017年7月17日15:00-16:00
报告摘要 In this talk we introduce the topological classification of three dimensional derived-Anosov diffeomorphisms, by Brin-Brago-Ivanov, Andy-Potrie and Hertz-Hertz-Ures.
报告题目： Three dimensional derived-Anosov diffeomorphisms: VII: Ergodicity of three dimensional derived-Anosov diffeomorohism
报告时间 2017年7月17日16:00-17:00
报告摘要 We introduce the conjecture of Andy-Ures, on the ergodicity of three dimensional derived-Anosov diffeomorohism.
报告题目： Three dimensional derived-Anosov diffeomorphisms: VIII: general result of disintegration of measures along center foliation
报告摘要 We introduce several results on disintegration of measures along center foliation of three dimensional partially hyperbolic diffeomorphisms.
报告题目： Three dimensional derived-Anosov diffeomorphisms: IX: disintegration of measures along center foliation for three dimensional derived-Anosov diffeomorphisms
报告时间 2017年7月18日 09:30-10:30
报告摘要 We talk on the disintegration of measures along center foliation for three dimensional derived-ANosov diffeomorphisms, this is a joint work with Marcelo Viana.
报告题目： Three dimensional derived-Anosov diffeomorphisms: X: perturbation of volume preserving three dimensional derived-Anosov diffeomorphism with high entropy.
报告时间 2017年7月18日 10:30-11:30
报告摘要 We will show that when a volume preserving three dimensional derived-Anosov diffeomorphism has high entropy, then it is $C^{1+}$ robustly transitive. This is a joint work with Yi Shi and Marcelo Viana