中科院数学与系统科学研究院
数学研究所
中科院华罗庚数学重点实验室
华罗庚青年数学论坛
学术报告
报告人： 何伟鲲 博士（KIAS）
题 目：Sum-product estimates in matrix algebras
时 间：2021.06.23（星期三），19:00-21:00
地 点：腾讯会议：571 229 269
摘 要：In this lecture, I will first introduce basic tools of additive combinatorics, such as Rusza triangle inequality and Balog-Szemerédi-Gowers theorem. Then I will sketch the proof of Bourgain's sum-product theorem. Finally, I will discuss how Bourgain's result can be generated to higher dimensional settings, for example, in matrix algebras.
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报告人： 何伟鲲 博士（KIAS）
题 目：Random walks on the torus
时 间：2021.06.30（星期三），19:00-21:00
地 点：腾讯会议：873 144 601
摘 要：In this sequel, we will present some equidistribution results of affine random walks on the torus. An essential part of the proof is done using the higher dimensional sum-product estimates discussed in the previous lecture. Hence a highlight will be given to the connection between the ergodic problem of equidistribution and the combinatorial tools.
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