AbstractGiven a braided algebra in a braided fusion 2-category, under certain rigidity condition, itsmodules form a monoidal 2-category. Refining the notion of module to local module, we prove thatlocal modules over a separable braided algebra form a braided multifusion 2-category. Meanwhilelocal modules and free modules centralise each other (generalising the 1-categorical setting), andsatisfy...
Hida families and ideal class groupsNumber Theory Lunch Semina