报告人：席亚坤（浙江大学）

邀请人：黄山林

报告时间：2023年4月17日（星期一）15:00-16:30

报告地点：科技楼南611室

报告题目：Can you hear your location on a manifold?

报告摘要：We introduce a variation on Kac's question, "Can one hear the shape of a drum?" Instead of trying to identify a compact manifold and its metric via its Laplace--Beltrami spectrum, we ask if it is possible to uniquely identify a point x on the manifold, up to symmetry, from its pointwise Weyl counting function. This problem has a physical interpretation. You are placed at an arbitrary location in a familiar room with your eyes closed. Can you identify your location in the room by clapping your hands once and listening to the resulting echos and reverberations?Our main result provides an affirmative answer to this question for a generic class of metrics.

报告人简介：席亚坤，浙江大学教授，, 主要从事调和分析领域的研究，已在Cambridge Journal of Mathematics，American Journal of Mathematics，Communications in Mathematical Physics等权威数学期刊发表学术论文十余篇。