学术活动
数论与代数几何讨论班:和积现象及其应用
2013-11-18
来源:科技处 点击次数:主讲人:龚克 (河南大学)
时 间:11月18日(周一)10:30-11:30
地 点:必赢76net线路官网北二区教学楼 517 教室
摘 要: Sum-product phenomenon play a fundamental role in many arithmetic combinatorial problems. It was first demonstrated in a se minal paper of Paul Erdös and Endre Szemerédi, and found its way into many arithmetic problems only in recent years. I will give a survey on sum-product phenomenon in different settings, and demonstrate its power through a remarkable estimate for extremely short exponential sums due to Jean Bourgain and his coauthors. Some related problems in arithmetic combinatorics reflecting my recent thoughts will also be introduced.