Colloquium / Seminars
Topic:Discretized Sum-Product and Geometric Measure Theory
Speaker:Prof. Chun-Yen Shen
(Dept. of Mathematics, National Taiwan UniversityDate time:Nov. 21, 2023 14:00 - 15:00
Venue:SA223
Abstract:
Abstract. 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 continuous setting and discuss their sum-product phenomena.Download:Talk_20231121.pdf
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