Wednesday, June 30, 2010

discussion with baez today

1 algebroid of monos as equivalent to algebroid of epis?? because both equivalent to algebroid of short exact sequences??

2 ??situations where category of projective modules is finitely cocomplete but with its own colimits?? or something like that??

3 doctrine of cauchy complete algebroids?? some work of trimble with baez...

4 walking epi symmetric monoidal finitely cocomplete algebroid... an object in the nth grade of the syntactic algebroid as something like "a filtered vector space with n+1 stages, with an action of n! on the total space, such that the jth stage is closed under the corresponding young subgroup" ?? ??or something like that...

5 classification of indecomposable reps of borel lie algebra ... how this relates to #4 above and/or to quiver representations ...

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