Sunday, June 19, 2011

?? relationship between "jugendtraum" and "elliptic modular function as machine for turning ideal numbers into actual numbers" ... ???? maybe as guide to relationship between "elliptic" stuff and "modular" stuff in general ??? .... ????? ....

?? _can_ jugendtraum as we're currently trying to think of it (meshing with artin reciprocity ... ???? ...) be construed as some version of "... machine for turning ideal numbers into actual numbers ..." ??? .... ????? .....

?? hmmm... well, inputs to modular functions ( / forms ??? ...) can reasonably be interpreted "as" ideals, it seems .... but what about inputs to elliptic functions ??? ... ?? especially torsion point inputs ... ??? ..... ???? "ideal" vs "ideal number" ???? ..... ????? ....

?? interpreting value of modular function at nice elliptic curve with complex multiplication as value of certain elliptic function at certain torsion point somehow .... ????? .....

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