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

by 郭素妙 | 2024-02-27 14:31:07

Discretized Sum-Product and Geometric Measure Theory

Time: March 27 (Wed.) 14:00-15:00
Place: S101, Gongguan Campus, NTNU

Prof. Chun-Yen Shen

沈俊嚴 教授

National Taiwan University

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]

Endnotes:
  1. https://sites.google.com/site/shencmath/: https://sites.google.com/site/shencmath/

Source URL: https://cantor.math.ntnu.edu.tw/index.php/2024/02/27/talk20240327/