Tuesday, September 20, 2011

?? past vs present attempts to express flag-geometry-flavor theories in various doctrines ...

dimensional doctrine ...

AG doctrine ...

geometric doctrine ...

?? somewhat confused about how far we got with some of this ... and what approaches we may have used .... ??? ....

??? "quasicoherent artin-wraith glueing" difficulties .... ???? .....

?? reps of galois-schubert lie subalgebra .... ???? .... ?? informally (?? ...) equating with nice conceptually/syntactically presented/axiomatized AG theory .... ??? and informally trying to understand reduction or near/partial reduction to dimensional doctrine .... ???? some confusion here ???? ....

"hecke" .... ???? .....

gl vs pgl ...

pgl(2) vs pgl(3) .... ??? .....

?? certain informal calculations that we did ... with alex and/or baez .... ??? .... confusion about what these were / attempted .... ??? ....

?? generalized pluecker relations .... ???? showing up in more than one way, maybe ??? .... various gradings ... treated in various ways .... projective, toric .... ??? .....

??? resorting to "subtraction of structure" (william burke ... gremlin ... "orbit stack" ... "gauge-fixing" ... "structure gambit" ... ??? ....) .... ???? extent to which we did so resort .... and / or succeed at it .... ????? ....

?? hmmm ... "g-torsor x equipped with point p of f(x)" for functor f ... ??? as not especially "gauge-fixing" / "structure gambit" ??? ..... ???? ..... ....

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