Friday, January 6, 2012

?? bed of variable height nails and 2-variable calculus .... ???? ....

?? intro and extro ??

?? convolution comonoid on abelian variety associated with finite subgroup ... ??? any others ???? ..... ?? was worried (?? ...) about infinite subgroups, but ... ??? attempted comultiplication seems "divergent" ??? .... ??? maybe that's good ??? ... ??? ... ??? ...

?? maybe get nice topos from abelian variety convolution nice (?? ...) comonoids, but seeing only abstract group structure ???? ..... ???? what _would_ such alleged topos be like, and might this suggest anything interesting about accidental topos of toric variety ?? ....

?? convolution comonoids on discrete (?? fe finite ... ??) comm monoid .... ???? .... "fourier duality" here ... ???? ..... ?? grading vs acting .... ???? ....

?? comvolution comonoids where fiber over unit point is counting measures on a discrete set .... ??? whether such always (??? ...) form a topos ... ???? ..... ???? ....

?? convolution unit as ordinary monoidal ... ?? ordinary-comonoidal too ??? ... ?? or _is_ it ??? .... ?? ordinary unit as convolution-monoidal but not comonoidal ??? .... ???? ..... ?????? .....

?? dual / converse wrt convolution ??? .... ????? ..... ?? toric case where inverses don't always exist .... ???? ....

?? "agfct 0" .... ??? main goal as to get category-theorists interested in alg geometry ... ??? first, by perhaps teaching them some .... toric case as toy case ... good / bad aspects of that .... ?? danger of getting too interested in "special" / "peculiar" aspects (though of course you could try to show that these are actually interesting .... ??? ....) ... ?? second, by revealing (?? to some extent) certain way of relating category theory to alg geom .... ??? though to some extent postpone this till [agfct 1, ...] ... ?? with emphasis on "moduli stack" / "doctrine theory" idea .... ???

?? agfct 1 as about dimensional analysis bit ??? ... ?? some chicken / egg expository problems here ??? .... ??? "moduli stack" idea here ... how relates to 0 vs 1 vs .... ???? .... sections of agfct, that is ... ???? ....

?? issue of how [doctrine vs meta-theory of more complicated (?? ... ?? "mayhem ...") meta-doctrine ...] issue relates to [?? ... trying to relate ordinary ag "moduli stack" ideas to toric case as worked out in somewhat hypothetical agfct 0 ... ?? ... ?? "operations on models" idea .... ??? .... as maybe intrinsically mayhem-ish ... ??? ... ?? "(co- ???? ...) walking model" .... ???? ..... ??? categorified bialgebra ??? .... ??? ask yetter about such ???? .....] ... ???? .....

?? try checking up on teaching / employment at ksu math dept website ??? ... ?? application process ?? ... ?? try comparing listed instructors (??? ...) to listed faculty (?? ...) ....

?? print out ksu math dept grad student application at ucr ....

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