Please register here: https://zoom.us/meeting/register/uJwtd-Ggpzos8ilSnQvzeOyaYSl2YEmUJw .

Little Picard's theorem states that any non-constant entire function takes all complex values or all complex values except one point. In a similar flavour, suppose $f$ is an entire function such that for complex values $a$ and $b$, the set of zeros of $f$ is same as the set where $f'$ takes values $a$ and $b$ (not necessarily as multisets). Then, it is possible to show that $f$ is a constant function. Such results are called Picard-type theorems. In this talk, we will discuss similar questions for $L$-functions. In particular, we will discuss: for an $L$-function in the Selberg class, how many values does $L'$ take on the zeros of $L$?