时间:2024年7月9号,16:00-17:00
地点:2206
报告人:肖骁(加拿大McGill大学)
题目:Complex Quantum Ergodic Restrictions
摘要: Quantum ergodicity (QE) is the equidistribution property for a sequence of Laplace eigenfunctions as k\to\infty. It is a curious question whether a QE sequence restricted to a hypersurface is also QE on that hypersurface as a submanfold. This is known as the quantum ergodic restriction (QER) problem. I will discuss famous known results on this problem by Toth-Zelditch and Christianson-Toth-Zelditch, as well as a new QER theorem in the setting of Grauert-tube-complexification. Time permitting, I will discuss some applications and possible future works.