Ergodic Ramsey Theory and the Erdős B+B+t Conjecture

讲座题目：Ergodic Ramsey Theory and the Erdős B+B+t Conjecture

讲座时间 Datetime:2026年9月28日，周一，08：00-11：00

地点 Venue:海琴二号A412-1

主持人 Host：Sergio Romana  副教授

报告人 Speaker: Jonatas Marinho Santos de Araujo 博士

单位 Affiliation:National Institute of Pure and Applied Mathematics - IMPA

报告摘要 Abstract:

The Erdős B+B+t Conjecture asks whether a set A of natural numbers with positive Banach density contains a set of the form B ⊕B + t, where B is an infinite set and⊕means the restricted sum. We present a dynamical solution of the Erdős B+B+tConjecture by Joel Moreira, Bryna Kra, Donald Robertson and Florian Ritcher. They first reduce the combinatorial problem to the setting of dynamical systems. The proof is based on the existence of Erdős sequences, whose existence is shown to hold σ-a.e. with respect to a probability measure σ suitably constructed for the underlying system.

报告人简介：

Jonatas Marinho Santos de Araujois a PhD student at the National Institute of Pure and Applied Mathematics (IMPA), Brazil, working in the field of dynamical systems. He is currently a visiting scholar at the School of Mathematics (Zhuhai), Sun Yat-sen University, where she is completing a six-month academic research collaboration with theDynamical Systems Group.