Thursday, November 17, 2011

?? hecke operator as "sesquiherent" vs as "sesquicoherent" ..... ????? ...... ??? ... ??? ....

??? combined doctrine ... ??? .... ??? flat ???? ... ??? algebraic groupoid .... ???? ..... ??? vs .... ?? cat .... ?? space ?? .... ???? .... ??? ....

?? "quasiherent co-sheaf" idea and ... ??? formula/model relativity ?? .... ?? whether it's a good idea to think of quasicoherent sheaves as being models of a colimits theory .... ??? .....

?? (topos-)geometric morphism represented in "sesquiherent" style ... ?? .... "t-model in u" ... ??? ..... ....co-fan co-cone ... ??? .....

?? trying to apply "sesquiherent" idea directly to "ordinary tensor product in co-fan picture" situation .... ???? ....

?? co-fan co-cone ... filtered colimits ... quasiherent .... ??? ....

??? absoluteness in cocomplete poset case ... ??? ... ?? danger (?? ...) of distinction between right and left adjoints vanishing there, and of it being fairly easy to see it happen .... ??? .... ?? old weights vs new weights ?? ....

?? "co-localize" ... ?? "eternal element" in _n_-set ??? .... ?? "eternal history" ??? ....

?? telling todd about idea of trying to generalize hecke operator concept from gpd case to cat case .... ??? didn't seem to work at all ??? ..... ???? "twist" ??? ..... ????? ..... ????? ..... ??? "co-/end" ??? ... ??? ....

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