3:45PM: Decomposing Tensor Products
Persi DiaconisBuilding new representations out of old ones by tensoring is a basic construction; indeed, an old theorem of Burnside and Brauer says that all representations of a finite group can be built this way, starting from one faithful representation. Of course, decomposing tensor products can be a nightmare (the Kronecker problem). Its even worse over general rings. Surprisingly, there is a useful connection to probability theory.