[專題演講] 【3月27日】Chun-Yen Shen / Discretized Sum-Product and Geometric Measure Theory

In this talk, I will first briefly review the history of sum-product estimates in the setting of finite fields and mention the applications of sum-product type problems. Then I will start introducing the celebrated result of Bourgain about the discretized sum-product estimates and the applications to geometric measure theory problems. Finally I will talk about our recent results about expanding polynomials in terms of Hausdorff dimension and discuss their sum-product phenomena.

個人網頁 https://sites.google.com/site/shencmath/[1]