Title: Some ergodic theorems along the prime Omega function

Speaker: 王标（云南大学）

Time: Oct. 30, 2026, 15:00-16:00

Classroom: Room 1418, Management Building

Abstract: In 1965, Chowla conjectured that the signs of the Liouville function become asymptotically uncorrelated at any fixed collection of distinct shifts. In 2015, Matomaki, Radziwill and Tao proved an averaged form of Chowla's conjecture. In 2022, Lichtman proved a variant of this conjecture over primes on average. In the same year, Lichtman and Teravainen proved the Hardy-Littlewood-Chowla conjecture on average. Moreover, Tao proved in 2016 that the two-point logarithmic Chowla's conjecture holds. In 2022, Bergelson and Richter established a new dynamical generalization of the prime number theorem. In this talk, motivated by the work of Bergelson and Richter, we will introduce the analogous dynamical generalizations of these results related to Chowla's conjecture.

Introduction: 王标，四川仁寿人，2011年四川大学本科毕业，2014年中科院数学所硕士毕业，2021年纽约州立大学布法罗分校博士毕业，2023年6月中科院数学所博士后出站，现为云南大学数学与统计学院副教授。主要研究方向为解析数论，在J. Number Theory等期刊上已发表论文20余篇。