*主讲人：安丽想 副教授（华中师范大学） 

*主持人：苗俊杰 副教授            

*时间：2020年11月6日14:00

*地点：闵行校区数学楼402报告厅

*讲座内容简介：

Let ? be a Borel real subset with positive and finite Lebesgue measure. It is called a spectral set if there is a countable set Λ such that E(Λ)={exp(2πi λx) :λ∈Λ} forms an orthonormal basis for L2(?). Fuglede’s conjecture asserted that ? is a spectral set if and only if it tiles Rd. In this talk, we will introduce some recently progress on the Fuglede’s conjecture and related problems. We show that an integral self-a?ne spectral set is a tile set. This is based on joint work with Xinggang He.

*主讲人简介：

  安丽想副教授现是华中师范大学青年老师。2015在华中师范大学博士毕业后，去香港中文大学做博士后，导师为刘家成教授。现已在 Trans. Amer. Math. Soc, J. Funct. Anal., Adv. Math.上发表多篇论文。