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On differentiable Anosov splitting and invariant foliation
张文萌 教授(重庆师范大学)
2020年11月4日9:00-11:00  腾讯会议 ID:999 465 356

*主持人:曹永罗 教授
*时间:2020年11月4日9:00-11:00
*地点:腾讯会议 ID:999 465 356, 密码:123456

*讲座内容简介:
As pointed out by Pugh, Shub and Wilkinson, one of the major technical barriers to the understanding of Anosov diffeomorphisms is the fact that the splittings (and the invariant foliations) are not in general differentiable. In this talk, we review the known results of differentiable Anosov splittings and invariant foliations, where one encounters the so-called bunching conditions. We will discuss the possibility of removing those bunching conditions, which may require some new ideas.

*主讲人简介:
张文萌,重庆师范大学教授,国家自然科学基金优秀青年基金获得者,主要从事微分方程与动力系统的研究,重点关注其中的线性化与不变流形等问题,在Trans.AMS, Adv.Math., Math.Ann 等期刊发表多篇论文, 2018年获教育部自然科学一等奖(排名第二)。