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hello everyone so uh we are back for the second talk of the day cesar los angeles and he is talking about the effective cone of the modular space of shaves on the plane via minimal free resolutions please says right right thank you for the invitation it was it was a long it was a long name um and probably too technical but um but before i get into the details of the talk let me give you a puzzle um i cannot guarantee that its not going to be terribly boring so you can you can try to come up with a with a proof of the following fact so um suppose you have a suppose you have a plane curve an irreducible plane curve of degree 7 with one note and no more singularities and you place on it 12 general points so its not its not so difficult to prove that the points dont move points dont dont go they are effective they are an effective divisor but they they dont go anywhere in its linear system thats what this equation says so my goal with this with this puzzle will be is it possible t