If a non religious jew recorded a video of himself on Shabbos (him just talking to the camera saying interesting things) and then put it on youtube would it be forbidden to watch the video?

Shalom, Thank you for your question. The question of benefiting from Jews breaking Shabat is addressed in the Shulchan Aruch (Orech Haim 318,1). It would seem that from a simple reading of the law, it would be permitted for people to watch the video after Shabat. There are opinions that rule strictly for several reasons – firstly, if the filming was of an event that could not be reproduced after Shabat (such as a sports match) then some opinions hold that one may never benefit from the filming, because waiting until after Shabat does not remove the “benefit” of the filming (unlike waiting until after Shabat to eat a cake baked on Shabat, where the waiting until after Shabat removes the ‘benefit’ of the Shabat sin – with the sports match it can never be replayed, and so every viewing is an enjoyment of the Shabat desecration). However, in the case you ask about, it seems that it would be theoretically possible to rerecord the video after Shabat – so perhaps when watching it after Shabat one is not benefiting from the Shabat violation. Secondly, there could be a question of encouraging Shabat violation. Every time you watch a you-tube video, it gives an additional “point” to the video, which is a form of encouragement for their breaking of Shabat. However, as you are just an anonymous number, and not known to be Jewish, it could be argued that this is not problematic. Bottom line, even though there is room to be strict, someone who is lenient and watches such a video has good halachic grounds to rely upon. Blessings.