报告时间：2026年4月20日（周一）晚上 19:00-20:00
报告地点：苏州大学未来校区 未来科创中心412
报告人：李嘉旻，山东大学
报告摘要：
Prime distribution is one of mathematics' oldest problems. In the almost prime approximation approach to the Goldbach and twin prime conjectures, Chen Jingrun achieved the landmark results "1+2" and "1−2." Over a decade ago, Bourgain, Gamburd, and Sarnak proposed a programmatic conjecture that reframes prime distribution in terms of group actions on orbits, offering a new perspective. In this talk, we explain how sieve methods yield high-dimensional, higher-degree prime distribution results, and how these ideas enrich classical problems like the Goldbach and twin prime conjectures—highlighting our recent breakthroughs "1+1.9" and "1−1.75". This talk is based on joint works with Jianya Liu.
报告人简介：
李嘉旻，山东大学在读博士生，导师为刘建亚院士，研究方向为解析数论，主持国自然青年基金博士生项目，在素数分布、哥德巴赫猜想与孪生素数猜想等相关课题做出重要研究成果，文章发表于Sci. China Math.、J. Number Theory等期刊。