Rules of chess: any situations where you MUST resign?

I just started watching the Queen's Gambit (the miniseries) and in the 1st episode there's a scene where she loses a queen (I don't remember in what way), and the custodian tells her that if she loses her queen like that she must resign, but she doesn't want to resign, she wants to keep playing and then they have a spat.  My question is isthere such a rule in chess (or any other rules where you have to resign) or did the custodian in the series make that up?

No, in chess there is no situation where you must resign.  Any player is completely free to keep playing until there is checkmate, stalemate, the clock runs out, or another kind of draw is agreed or claimed.

Essentially, Beth goes down a full queen for nothing.  "Why keep playing?" is essentially what the custodian is saying.  Some chess players, like the custodian, feel that it is more respectful to resign a game when you lose such a decisive amount of material so that you don't force your winning opponent to have to keep playing that game.

In short, it may be a sign of respect to resign a game when you are clearly losing.  However when you are new to chess, you should not resign until the game is over.  You should play it out to see how the game unfolds.  And often times, your opponent may blunder and give you a fighting chance.

You never have to resign.
Here is an example where Reshevsky plays on a queen down against Fischer.
https://www.chessgames.com/perl/chessgame?gid=1008376 

That scene is really problematic, they shouldn't have included it in the show. There's no unspoken rule that says you have to resign when down material. There's no obligation to resign at all contrary to what some may want you to believe. Especially if you are a beginner, which Beth was at the time of that scene.

Sheibel was a typical angry chess.com player. “Omg you’re taking so long to move”. “Resign already.”

At my club there are a few kids who always play until a checkmate. Nobody complains about them let alone boycotts them.

They are good kids, quite polite and respectful and know etiquette well. But probably someone should teach you that. You are a troll, sir.

Whatever you choose to believe, I don't give a damn.

You have no idea about my life and what I care about. But when did it ever stop a troll?

There's no rule to resign and it's not disrespectful or anything. The only case where it would be disrespectful to not resign is if you're in a losing position and you need to leave.

thats probably the reason why ur only 800

on chess.com thats even less than otb

ig thats fair

u do u

so the first person to capture a pawn (or any piece) wins? that should save us all a lot of time!

first, that is NOT what trolling is. second, if you dont have enough time to play a game of chess don't play. BAM! another problem solved!

the answer anybody who was serious about chess would give would be "we want to win"

which is the same answer I'll give now

Because we want to win.

I beg to differ

I won 700 bucks last week from a chess tournament

wtf are you talking about

https://chessevents.com/event/goldenstate/2022/standings/u2100 

I'm not going to dox myself so I won't say who I am

you can see the "Prizes" at the right

TacticalPrecision, there's a world outside of America. Just so you know.

and that's just one tournament

the continental chess association holds a bunch

along with USCF

they all have cash prizes