Monday, November 1, 2010

notes for discussion with baez this evening

derived equivalences between categories of quiver representations...

1 ??something about "functoriality paradox" or something? ...

2 ??big picture motivations ... various... ??maybe not get into these too much tonight... quivers and perverse sheaves... ??or something...

3 numerology...

4 weyl group vs artin-brieskorn-coxeter braid group... something about q = -1 and so forth... something about "verdier duality" and related stuff that willerton tried to explain to me...

5 "derived morita context" and so forth... decategorification thereof...

6 "abelian (infinity,1)-category" ... htpy kernel and htpy cokernel as inverses...
??possible improvement on "triangulated category" concept?... ...??model cat approach... ??...

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