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hey um so let's see so I know everybody was here at the last lecture right so last time I talked about some specific thing which was power operations from rather easy um and I described a picture that involved telling called descent for I sajan ease and I just want to talk about that some more but I'm going to put it in their general more general context and then I'll come back to some things that I want to explain about that so let me just set this up here so if you remember from the first lecture there was this gadget called the moduli stack of elliptic curves on smooth elliptic curve so for our purposes all you really need to know is that if you have a scheme s and you look at the collection of all maps into em this is supposed to correspond to all elliptic curves see over the base scheme s and of course you have to interpret this on the right way um these are actually grew points so this is the group weight of elliptic curves and ice and Worf isms over the f

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