报告题目：Smooth dependence of nonautonomous linearization on parameter
报告人：张文萌 教授（重庆师范大学）
时间：2026年05月13日（星期三）下午14：30-16：30
地点：四川轻化工大学宜宾校区A6-110
报告人简介：
张文萌，重庆师范大学教授，国家优青，重庆市杰青。在Adv. Math.、Math. Ann.、Proc. London Math. Soc.、Trans. Amer. Math. Soc.等SCI刊物发表论文20余篇，主持国家自然科学基金项目4项，成果获教育部自然科学奖一等奖（第2完成人）。
报告内容简介：
Barreira and Valls proved in [J. Dyn. Diff. Equ., 22 (2010): 787-803] the C^1 dependence of C^0 linearization on parameters for nonuniformly hyperbolic diffeomorphisms, whose nonlinear parts depend on the parameters but linear parts do not. In this talk, we allow the linear parts to depend on the parameters, where only Holder dependence is possible and a difficulty arises: the projections in the nonuniform exponential dichotomy do not have explicit expressions. We will overcome the difficulty by giving a new result on the Holder dependence of nonuniform exponential dichotomy and constructing the conjugacy in a different way.
