报告题目：Hunt's Hypothesis (H) and Getoor's Conjecture
This talk discusses Hunt's hypothesis (H) and Getoor's conjecture. It contains five parts. Firstly, I will talk about the background of Hunt's hypothesis (H). Secondly, I will recall the meaning of Hunt’s hypothesis (H) and its importance. Thirdly, I will introduce Getoor's conjecture and the existing results. Fourthly, I will introduce our results. Finally, I will mention some open problems. The talk is based on joints works with Wei Sun and Jing Zhang.