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【114/9/18】16:20-17:10 沈俊嚴 教授(國立臺灣大學數學系)

發佈日期 : 2025-08-21

 

Colloquium

Date 2025-9-18 16:20-17:10
Place 數學館1樓3174教室
Speaker 沈俊嚴 教授(國立臺灣大學數學系)
Title Size Estimates for Polynomial Images
Abstract In this talk, I will first briefly review the history of sum-product estimates in the discrete setting and mention the applications of sum-product type problems. Then I will start introducing the celebrated result of Bourgain about the discretized sum-product estimate and its applications. Finally I will talk about our recent results about expanding polynomials in terms of Lebesgue measure and Hausdorff dimension.

 

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