The Gross-Kohnen-Zagier formula for function fields

In 2015, Yun and Zhang proved an amazing function field analogue of the Gross-Zagier formula. Two years later, they generalized their formula to cases with some mild ramifications. Following their ideas, Howard and Shnidman proved a function field analogue of the Gross-Kohnen-Zagier formula. In this talk, I will introduce the ideas of this series of work, my work last year on the function field Gross-Kohnen-Zagier formula with Iwahori level structures and some more related questions, which are good for graduate students interested in this topic to explore.