动力系统与分形几何讨论班——Lp estimates of orthogonal projections, dual Furstenberg problem, and discretized sum-product

报告人：刘博辰（南方科技大学）

报告时间：9月27日下午3点30分—4点30分

报告地点：腾讯会议（会议号：381-841-791；会议密码：240925）

报告摘要: L2 estimates of orthogonal projections are classical in geometric measure theory. In this talk we shall discuss about recent progress on Lp estimates. Then we come up with a dual version of the Furstenberg problem and introduce some partial results. We also find that, compared with general sets, Cartesian products have better Lp-behavior. This leads to improvement on some discretized sum-product estimates. This is joint work with Longhui Li.

报告人简介：刘博辰，南方科技大学副教授，本科毕业于浙江大学，博士毕业于美国罗切斯特大学，主要从事调和分析、几何测度论、组合数学相关研究，已在GAFA, PLMS, AJM, IMRN等国际著名期刊发表论文多篇。