On a telephone or video chat conversation, you call the location of each person on the conversation an "end". It might help to imagine a string that connects each of the people on the call. So each person is at one "end" of the string.
You can use "my end", "your end", "this end", and "that end" to talk about things that are happening in each location. For example:
I hear some kind of strange beeping noise. Can you hear that on your end?
It's eight o'clock here. What time is it on your end?