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学术报告（4.20）：李嘉旻：From "1+2" to "1+1.9": Can Non-Linear Insights Close the Gap?
# u3 F; \" u- D+ n% ^时间: 2026-04-20 作者: 热度: 166+ l$ x- K. J- Q: ]- g
报告时间：2026年4月20日（周一）晚上 19:00-20:00
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报告地点：苏州大学未来校区 未来科创中心412
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h) R* `! w" b0 J& j; X报告人：李嘉旻，山东大学* `0 a h/ F2 D$ |7 K7 v6 D
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报告摘要：
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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.5 e# ]4 Q/ i/ L+ K5 O* t( h
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5 j. Z* F4 i% Z; ]1 v2 _2 `1 e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。 |
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