Measure doubling of small sets in $\mathrm{SO}(3,\mathbb{R})$

Thời gian: 15:00 đến 17:00 Ngày 07/04/2023

Địa điểm: Trực tuyến

Tóm tắt:

Speaker: Chieu-Minh Tran (National University of Singapore, Singapore)

Abstract: Let $\mathrm{SO}(3,\mathbb{R})$ be the 3D-rotation group equipped with the real-manifold topology and the normalized Haar measure $\mu$. An old problem in multiplicative combinatorics asks whether $$ \mu(A^2) > 3.99 \mu(A)$$ for open $A \subseteq $\mathrm{SO}(3,\mathbb{R})$ with sufficiently small measure. This question was described in Ben Green’s list of open problems, where it was also attributed to discussion with Emmanuel Breuillard. In this talk, I will discuss recent joint work with Yifan Jing and Ruixiang Zhang where we combine techniques from model theory, probability theory, and harmonic analysis to positively answer the above question.

ZOOM link: https://us02web.zoom.us/j/87167950828?pwd=UFpHTkcwaDZWTndsRGloRE5yN2tIdz09
Zoom Meeting ID: 871 6795 0828
Passcode: 352266

It is my pleasure to invite you to the following talk of the Korea-Taiwan-Vietnam Joint Seminar in Combinatorics and Analysis.