The answer hinges on law, which hinges on location, location, location, so you’re asking the wrong people.

You need to check on tenancy laws in your location.

It might not be considered trespassing, but it could be something else.

Here in the UK tenants have a right to "quiet enjoyment" as it is phrased in law, which means your landlord is not allowed to bother you unannounced, and if they want to come to the property they must give reasonable advance notice (usually 24 hours)

You may have something similar.

Then again, the landlord having remote-control over your A/C sounds like absolutely psycho behaviour already, so good luck with that.

Depends.

Consult a locally-licensed attorney for legal advice.

I would physically beat the shit out of a landlord doing that. I am paying to use this property, it's not yours to do ANYTHING with.

Put a stick in the window on the inside to hold it open, and a camera watching everything

In Australia that issue would fall under 'quiet comfort'. I don't think they'd be allowed to do that.

Probably not criminal trespassing, since they are the owner of the property. It may fall under tenant harassment, unauthorized entry, constructive eviction, or other laws that pertain specifically to landlord/tenant relations.

Check to see if there are any local tenant's rights or advocacy groups in your area that offer free legal consultations. They'd be able to advise you on the local tenant's rights laws and whether they apply to your situation.

If they remotely control the AC why wouldn't the landlord just turn off the AC when the window was open? Seems more logical, tbh. Maybe that's the escalation you mentioned youbwere worried about in another response.

Why do they remotely control your air conditioning?

Why haven’t you put a piece of wood in the window track yet? If you physically block the window, he can’t do it from the outside

It really depends on where you live and if the landlord lives in the same housebut: are there clearly written rules in the lease about the windows needing to stay closed? If not it is likely not justifiable for them to close them. Typically a landlord needs to provide 24-48 hours notice to enter the unit so if they are showing up on random days and entering that it likely illegal. Throwing away personal property is also illegal. The security cameras could also be illegal. The only way to know any of this would be to contact a local housing justice non profit (if it exists) or preferably a local tenant lawyer. You need to make sure you are documenting everything that seems like a violation, even just writing a note of when and what happened but photos and video could be preferable

alexa give me a recipe for rat poison cookies

I mean, if they've got AC running and you have a window open you're killing the efficiency for everyone, it's sort of a dick move.

But if they didn't have it running, they could just ask you nicely to close the window since they're turning the AC on.

Lock it open?

I don't see anything about how the other people renting here feel, whether they would prefer windows or AC. The AC appears to be for the whole house, of which you only rent 1 room. Legally he might be in the wrong, but you're a terrible roommate.

I would guess that it isn't trespassing in the normal sense since they own the house/building. Since the contract sounds like it allows them access inside and outside based on the kitchen stuff. Still would be good to see what legal protections you have for privacy as a renter in your area. If they are closing the window from the outside, it might not be legally trespassing (again in the normal sense of the law) as they could argue it is a facilities issue or something.

It's a fire hazard. If you're running the ac the window should be closed, or cracked less than 2.5 cm