Saturday, June 4, 2011

notes for next discussion with todd

?? getting toric dimensional theory from commutative monoid ... ?? "quasi-affine" ... ???? .... (??puzzle about "toric model" ??? ....) ... ?? "translations that almost give maps" ... ??.... ??vague analogies to "cocone category of co-fan" ... ... ??? ...

?? how "base change" affect ideal class group ??? and analogy to toric vs non-toric ...

??hmmm, but also ... ?? how this stuff might address semi-recent question about ... well, about "base change as analogy to toric vs non-toric" and so forth, though we might not have been talking about it that way by that time .... ???...

?? and also also, how this stuff compares to possibly standard stuff about "toric divisors" that ... ?? baez and i tried working it, and baez i think claimed to find conformation of in that book ... ??? ... and so forth ... ??well, that was for glued-together stuff ... ?? ... but ... anyway, there's ideas and questions here ...

??? but also also also, how all this stuff interacts with _todd_'s idea ... about ... cyclotomic stuff ... ??? .....

?? "cremona group" ?? ... ?? and ... ??? dimensional category where objects are all closed subvarieties of P^2 ??? ... ??? .... ....??? ....

??geometric / conceptual interpretation of "blowing up" ... ?? ... filtered... associated graded ... ????.... "renormalization" .... ??find e-mail ??? ...

???? "toric blow-up" ... ??? 2 (??? ...) kinds of "toric ideals" here ??? .... ??? .. ?? "renormalization" ... ??? ...

??lots of stuff here ...???... ??need to organize realistically ... ??? ..

??? ... "moduli spaces / stacks" ...

?? contemporary applications of toric varieties to chemistry, according to baez ...

???also baez's bit about non-invertibility of non-principal actions ... ???? ...

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