an you hear your location on a manifold?

主讲人：席亚坤

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.

主讲人简介：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。

邀请人：黄山林

时间：2023年4月17日（星期一）15:00-16:30